<!DOCTYPE html>
<html class="client-nojs vector-feature-night-mode-disabled vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-sticky-header-enabled" lang="en" dir="ltr"><head>
<meta charset="UTF-8">
<title>Modeling and simulation</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="canonical" href="https://en.wikipedia.org/wiki/Modeling_and_simulation"> <link href="./mw/ext.cite.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.icons.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.search.codex.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/user.styles.css" rel="stylesheet" type="text/css">
<meta name="ResourceLoaderDynamicStyles" content="">
<link rel="stylesheet" type="text/css" href="./mw/site.styles.css">
<link rel="stylesheet" type="text/css" href="./mw/noscript.css">
<link rel="stylesheet" type="text/css" href="./footer.css">
<link rel="stylesheet" type="text/css" href="./vector-2022.css">
</head>
<body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Modeling_and_simulation rootpage-Modeling_and_simulation skin-vector-2022 action-view">
<div class="mw-page-container">
<div class="mw-page-container-inner">
<div class="mw-content-container">
<main id="content" class="mw-body">
<header class="mw-body-header vector-page-titlebar">
<h1 id="firstHeading" class="firstHeading mw-first-heading">
<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">Modeling and simulation</span></span>
</h1>
</header>
<a id="top"></a>
<div id="bodyContent" class="vector-body ve-init-mw-desktopArticleTarget-targetContainer" aria-labelledby="firstHeading" data-mw-ve-target-container="">
<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="en" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr">
<style data-mw-deduplicate="TemplateStyles:r1305433154">
/* start https://en.wikipedia.org/ */
.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}
/* end https://en.wikipedia.org/ */
</style>
<p><b>Modeling and simulation</b> (<b>M&S</b>) is the use of <a href="Conceptual_model" title="Conceptual model">models</a> (e.g., <a href="Physical_model" class="mw-redirect" title="Physical model">physical</a>, mathematical, behavioral, or <a href="Logical_data_model" class="mw-redirect" title="Logical data model">logical</a> representation of a <a href="System" title="System">system</a>, entity, phenomenon, or process) as a basis for <a href="Simulation" title="Simulation">simulations</a> to develop data utilized for managerial or technical <a href="Decision_making" class="mw-redirect" title="Decision making">decision making</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>
</p><p>In the computer application of modeling and simulation a computer is used to build a <a href="Mathematical_model" title="Mathematical model">mathematical model</a> which contains key parameters of the physical model. The mathematical model represents the physical model in virtual form, and conditions are applied that set up the experiment of interest. The <a href="Simulation" title="Simulation">simulation</a> starts – i.e., the computer calculates the results of those conditions on the mathematical model – and outputs results in a format that is either machine- or human-readable, depending upon the implementation.
</p><p>The use of M&S within <a href="Engineering" title="Engineering">engineering</a> is well recognized. Simulation technology belongs to the tool set of engineers of all application domains and has been included in the <a href="Body_of_knowledge" title="Body of knowledge">body of knowledge</a> of <a href="Engineering_management" title="Engineering management">engineering management</a>. M&S helps to <a href="Cost_reduction" title="Cost reduction">reduce costs</a>, increase the quality of products and systems, and document and archive lessons learned. Because the results of a simulation are only as good as the underlying model(s), engineers, operators, and analysts must pay particular attention to its construction. To ensure that the results of the simulation are applicable to the real world, the user must understand the assumptions, conceptualizations, and constraints of its implementation. Additionally, models may be updated and improved using results of actual experiments. M&S is a discipline on its own. Its many application domains often lead to the assumption that M&S is a pure application. This is not the case and needs to be recognized by engineering management in the application of M&S.
</p><p>The use of such mathematical models and simulations avoids actual experimentation, which can be costly and time-consuming. Instead, mathematical knowledge and computational power is used to solve real-world problems cheaply and in a time efficient manner. As such, M&S can facilitate understanding a system's behavior without actually testing the system in the real world. For example, to determine which type of spoiler would improve traction the most while designing a race car, a <a href="Computer_simulation" title="Computer simulation">computer simulation</a> of the car could be used to estimate the effect of different spoiler shapes on the coefficient of friction in a turn. Useful insights about different decisions in the design could be gleaned without actually building the car. In addition, simulation can support experimentation that occurs totally in software, or in human-in-the-loop environments where simulation represents systems or generates data needed to meet experiment objectives. Furthermore, simulation can be used to train persons using a virtual environment that would otherwise be difficult or expensive to produce.
</p>
<meta property="mw:PageProp/toc">
<div class="mw-heading mw-heading2"><h2 id="Interest_in_simulations">Interest in simulations</h2></div>
<p>Technically, simulation is well accepted. The 2006 <a href="National_Science_Foundation" title="National Science Foundation">National Science Foundation</a> (NSF) Report on "Simulation-based Engineering Science"<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> showed the potential of using simulation technology and methods to revolutionize the engineering science. Among the reasons for the steadily increasing interest in simulation applications are the following:
</p>
<ol><li>Using simulations is generally cheaper, safer and sometimes more ethical than conducting real-world experiments. For example, <a href="Supercomputer" title="Supercomputer">supercomputers</a> are sometimes used to simulate the detonation of nuclear devices and their effects in order to support better preparedness in the event of a <a href="Nuclear_explosion" title="Nuclear explosion">nuclear explosion</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Similar efforts are conducted to simulate hurricanes and other natural catastrophes.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> <style data-mw-deduplicate="TemplateStyles:r1236090951">
/* start https://en.wikipedia.org/ */
.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}
/* end https://en.wikipedia.org/ */
</style><div role="note" class="hatnote navigation-not-searchable">See also: <a href="Hurricane_Weather_Research_and_Forecasting_model" class="mw-redirect" title="Hurricane Weather Research and Forecasting model">Hurricane Weather Research and Forecasting model</a></div></li>
<li>Simulations can often be even more realistic than traditional experiments, as they allow the free configuration of the realistic range of environment parameters found in the operational application field of the final product. Examples are supporting deep water operation of the US Navy or the simulating the surface of neighbored planets in preparation of <a href="NASA_mission" class="mw-redirect" title="NASA mission">NASA missions</a>.</li>
<li>Simulations can often be conducted faster than <a href="Real-time_simulation" title="Real-time simulation">real time</a>. This allows using them for efficient <a href="If-then-else" class="mw-redirect" title="If-then-else">if-then-else</a> analyses of different alternatives, in particular when the necessary data to initialize the simulation can easily be obtained from operational data. This use of simulation adds decision support simulation systems to the tool box of traditional <a href="Decision_support_system" title="Decision support system">decision support systems</a>.</li>
<li>Simulations allow setting up a coherent <a href="Synthetic_environment" title="Synthetic environment">synthetic environment</a> that allows for integration of simulated systems in the early analysis phase via mixed virtual systems with first prototypical components to a virtual <a href="Test_environment" class="mw-redirect" title="Test environment">test environment</a> for the final system. If managed correctly, the environment can be migrated from the development and test domain to the training and education domain in follow-on life cycle phases for the systems (including the option to train and optimize a virtual twin of the real system under realistic constraints even before first components are being built).</li></ol>
<p>The military and defense domain, in particular within the United States, has been the main M&S champion, in form of funding as well as application of M&S. E.g., M&S in modern <a href="Military" title="Military">military</a> organizations is part of the <a href="Military_Acquisition" class="mw-redirect" title="Military Acquisition">acquisition</a>/<a href="Procurement" title="Procurement">procurement</a> strategy. Specifically, M&S is used to conduct Events and Experiments that influence requirements and training for military systems. As such, M&S is considered an integral part of <a href="Systems_engineering" title="Systems engineering">systems engineering</a> of military systems. Other application domains, however, are currently catching up. M&S in the fields of medicine, transportation, and other industries is poised to rapidly outstrip DoD's use of M&S in the years ahead, if it hasn't already happened.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup>
</p>
<div role="note" class="hatnote navigation-not-searchable">Further information: <a href="Multi-use_simulation_models" title="Multi-use simulation models">Multi-use simulation models</a></div>
<div class="mw-heading mw-heading2"><h2 id="Simulation_in_science">Simulation in science</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Further information: <a href="Scientific_modelling" title="Scientific modelling">Scientific modelling</a></div>
<p>Modeling and simulation are important in research. Representing the real systems either via <a href="Physical_model" class="mw-redirect" title="Physical model">physical</a> reproductions at smaller scale, or via <a href="Mathematical_model" title="Mathematical model">mathematical models</a> that allow representing the dynamics of the system via simulation, allows exploring system behavior in an articulated way which is often either not possible, or too risky in the real world.
</p>
<div class="mw-heading mw-heading2"><h2 id="As_an_emerging_discipline">As an emerging discipline</h2></div>
<p>"The emerging discipline of M&S is based on developments in diverse computer science areas as well as influenced by developments in <a href="Systems_Theory" class="mw-redirect" title="Systems Theory">Systems Theory</a>, <a href="Systems_Engineering" class="mw-redirect" title="Systems Engineering">Systems Engineering</a>, <a href="Software_Engineering" class="mw-redirect" title="Software Engineering">Software Engineering</a>, <a href="Artificial_Intelligence" class="mw-redirect" title="Artificial Intelligence">Artificial Intelligence</a>, and more. This foundation is as diverse as that of engineering management and brings elements of art, engineering, and science together in a complex and unique way that requires domain experts to enable appropriate decisions when it comes to application or development of M&S technology in the context of this paper. The diversity and application-oriented nature of this new discipline sometimes result in the challenge, that the supported application domains themselves already have vocabularies in place that are not necessarily aligned between disjunctive domains. A comprehensive and concise representation of concepts, terms, and activities is needed that make up a professional Body of Knowledge for the M&S discipline. Due to the broad variety of contributors, this process is still ongoing."<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup>
</p><p>Padilla et al. recommend in "Do we Need M&S Science" to distinguish between M&S Science, Engineering, and Applications.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup>
</p>
<ul><li><i>M&S Science</i> contributes to the Theory of M&S, defining the academic foundations of the discipline.</li>
<li><i>M&S Engineering</i> is rooted in Theory but looks for applicable solution patterns. The focus is general methods that can be applied in various problem domains.</li>
<li><i>M&S Applications</i> solve real world problems by focusing on solutions using M&S. Often, the solution results from applying a method, but many solutions are very problem domain specific and are derived from problem domain expertise and not from any general M&S theory or method.</li></ul>
<p>Models can be composed of different units (models at finer granularity) linked to achieving a specific goal; for this reason they can be also called <a href="Biophysical_Models" class="mw-redirect" title="Biophysical Models">modeling solutions</a>.
</p><p>More generally, modeling and simulation is a key enabler for systems engineering activities as the system representation in a computer readable (and possibly executable) model enables engineers to reproduce the system (or Systems of System) behavior. A collection of applicative modeling and simulation method to support systems engineering activities in provided in.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Application_domains">Application domains</h2></div>
<p>There are many categorizations possible, but the following taxonomy has been very successfully used in the <a href="Military" title="Military">defense domain</a>, and is currently applied to <a href="Medical_simulation" title="Medical simulation">medical simulation</a> and <a href="Transportation_simulation" class="mw-redirect" title="Transportation simulation">transportation simulation</a> as well.
</p>
<ul><li><i>Analyses Support</i> is conducted in support of planning and experimentation. Very often, the search for an optimal solution that shall be implemented is driving these efforts. What-if analyses of alternatives fall into this category as well. This style of work is often accomplished by simulysts - those having skills in both simulation and as analysts. This blending of simulation and analyst is well noted in Kleijnen.</li>
<li><i>Systems Engineering Support</i> is applied for the procurement, development, and testing of systems. This support can start in early phases and include topics like executable system architectures, and it can support testing by providing a virtual environment in which tests are conducted. This style of work is often accomplished by engineers and architects.</li>
<li><i>Training and Education Support</i> provides simulators, <a href="Virtual_training" class="mw-redirect" title="Virtual training">virtual training</a> environments, and <a href="Serious_game" title="Serious game">serious games</a> to train and educate people. This style of work is often accomplished by trainers working in concert with computer scientists.</li></ul>
<p>A special use of <i>Analyses Support</i> is applied to ongoing business operations. Traditionally, decision support systems provide this functionality. Simulation systems improve their functionality by adding the dynamic element and allow to compute estimates and predictions, including optimization and what-if analyses.
</p>
<div class="mw-heading mw-heading2"><h2 id="Individual_concepts">Individual concepts</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Further information: <a href="Conceptual_model" title="Conceptual model">Conceptual model</a></div>
<p>Although the terms "modeling" and "simulation" are often used as synonyms within disciplines applying M&S exclusively as a tool, within the discipline of M&S both are treated as individual and equally important concepts. <a href="Conceptual_model" title="Conceptual model">Modeling</a> is understood as the purposeful abstraction of reality, resulting in the formal specification of a conceptualization and underlying assumptions and constraints. M&S is in particular interested in models that are used to support the implementation of an executable version on a computer. The execution of a model over time is understood as the simulation. While modeling targets the <a href="Conceptualization" class="mw-redirect" title="Conceptualization">conceptualization</a>, <a href="Simulation" title="Simulation">simulation</a> challenges mainly focus on <a href="Implementation" title="Implementation">implementation</a>, in other words, modeling resides on the abstraction level, whereas simulation resides on the implementation level.
</p><p>Conceptualization and implementation – modeling and simulation – are two activities that are mutually dependent, but can nonetheless be conducted by separate individuals. Management and engineering knowledge and guidelines are needed to ensure that they are well connected. Like an engineering management professional in systems engineering needs to make sure that the systems design captured in a systems architecture is aligned with the systems development, this task needs to be conducted with the same level of professionalism for the model that has to be implemented as well. As the role of big data and analytics continues to grow, the role of combined simulation of analysis is the realm of yet another professional called a simplest – in order to blend algorithmic and analytic techniques through visualizations available directly to decision makers. A study designed for the Bureau of Labor and Statistics<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> by Lee et al. provides an interesting look at how bootstrap techniques (statistical analysis) were used with simulation to generate population data where there existed none.
</p>
<div class="mw-heading mw-heading2"><h2 id="Academic_programs">Academic programs</h2></div>
<p>Modeling and Simulation has only recently become an academic discipline of its own. Formerly, those working in the field usually had a background in engineering.
</p><p>The following institutions offer degrees in Modeling and Simulation:
</p>
<dl><dt>Ph D. Programs</dt></dl>
<ul><li><a href="University_of_Pennsylvania" title="University of Pennsylvania">University of Pennsylvania</a> (Philadelphia, PA)</li>
<li><a href="Old_Dominion_University" title="Old Dominion University">Old Dominion University</a> (Norfolk, VA)</li>
<li><a href="University_of_Alabama_in_Huntsville" title="University of Alabama in Huntsville">University of Alabama in Huntsville</a> (Huntsville, AL)</li>
<li><a href="University_of_Central_Florida" title="University of Central Florida">University of Central Florida</a> (Orlando, FL)</li>
<li><a href="Naval_Postgraduate_School" title="Naval Postgraduate School">Naval Postgraduate School</a> (Monterey, CA)</li>
<li><a href="University_of_Genoa" title="University of Genoa">University of Genoa</a> (Genoa, Italy)</li></ul>
<dl><dt>Masters Programs</dt></dl>
<ul><li><a href="National_University_of_Science_and_Technology%2C_Pakistan" class="mw-redirect" title="National University of Science and Technology, Pakistan">National University of Science and Technology, Pakistan</a> (Islamabad, Pakistan)</li>
<li><a href="Arizona_State_University" title="Arizona State University">Arizona State University</a> (Tempe, AZ)</li>
<li><a href="Old_Dominion_University" title="Old Dominion University">Old Dominion University</a> (Norfolk, VA)</li>
<li><a href="University_of_Central_Florida" title="University of Central Florida">University of Central Florida</a> (Orlando, FL)</li>
<li><a href="The_University_of_Alabama_in_Huntsville" class="mw-redirect" title="The University of Alabama in Huntsville">the University of Alabama in Huntsville</a> (Huntsville, AL)</li>
<li><a href="Middle_East_Technical_University" title="Middle East Technical University">Middle East Technical University</a> (Ankara, Turkey)</li>
<li><a href="University_of_New_South_Wales" title="University of New South Wales">University of New South Wales</a> (Australia)</li>
<li><a href="Naval_Postgraduate_School" title="Naval Postgraduate School">Naval Postgraduate School</a> (Monterey, CA)</li>
<li>Department of Scientific Computing, Modeling and Simulation (M.Tech (Modelling & Simulation)) (Savitribai Phule Pune University, India)</li>
<li><a href="Columbus_State_University" title="Columbus State University">Columbus State University</a> (Columbus, GA)</li>
<li><a href="Purdue_University_Calumet" class="mw-redirect" title="Purdue University Calumet">Purdue University Calumet</a> (Hammond, IN)</li>
<li><a href="Delft_University_of_Technology" title="Delft University of Technology">Delft University of Technology</a> (Delft, The Netherlands)</li>
<li><a href="University_of_Genoa" title="University of Genoa">University of Genoa</a> (Genoa, Italy)</li>
<li><a href="Hamburg_University_of_Applied_Sciences" title="Hamburg University of Applied Sciences">Hamburg University of Applied Sciences</a> (Hamburg, Germany)</li></ul>
<dl><dt>Professional Science Masters Programs</dt></dl>
<ul><li><a href="University_of_Central_Florida" title="University of Central Florida">University of Central Florida</a> (Orlando, FL)</li></ul>
<dl><dt>Graduate Certificate Programs</dt></dl>
<ul><li><a href="Portland_State_University" title="Portland State University">Portland State University</a> Systems Science</li>
<li>Columbus State University (Columbus, GA)</li>
<li><a href="The_University_of_Alabama_in_Huntsville" class="mw-redirect" title="The University of Alabama in Huntsville">the University of Alabama in Huntsville</a> (Huntsville, AL)</li></ul>
<dl><dt>Undergraduate Programs</dt></dl>
<ul><li><a href="Old_Dominion_University" title="Old Dominion University">Old Dominion University</a> (Norfolk, VA)</li>
<li><a href="Ghulam_Ishaq_Khan_Institute_of_Engineering_Sciences_and_Technology" title="Ghulam Ishaq Khan Institute of Engineering Sciences and Technology">Ghulam Ishaq Khan Institute of Engineering Sciences and Technology</a> (Swabi, Pakistan)</li></ul>
<div class="mw-heading mw-heading2"><h2 id="Modeling_and_Simulation_Body_of_Knowledge"><i>Modeling and Simulation Body of Knowledge</i></h2></div>
<p>The <i>Modeling and Simulation Body of Knowledge</i> (M&S BoK) is the domain of knowledge (information) and capability (competency) that identifies the modeling and simulation <a href="Community_of_practice" title="Community of practice">community of practice</a> and the M&S profession, industry, and market.<sup id="cite_ref-scs_13-0" class="reference"><a href="#cite_note-scs-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>
</p><p>The M&S BoK Index is a set of pointers providing handles so that subject information content can be denoted, identified, accessed, and manipulated.<sup id="cite_ref-scs_13-1" class="reference"><a href="#cite_note-scs-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Summary">Summary</h2></div>
<p>Three activities have to be conducted and orchestrated to ensure success:
</p>
<ol><li>a model must be produced that captures formally the conceptualization,</li>
<li>a simulation must implement this model, and</li>
<li>management must ensure that model and simulation are interconnected and on the current state (which means that normally the model needs to be updated in case the simulation is changed as well).</li></ol>
<div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div>
<style data-mw-deduplicate="TemplateStyles:r1184024115">
/* start https://en.wikipedia.org/ */
.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}
/* end https://en.wikipedia.org/ */
</style><div class="div-col" style="column-width: 22em;">
<ul><li><a href="Computational_science" title="Computational science">Computational science</a></li>
<li><a href="Computational_engineering" title="Computational engineering">Computational engineering</a></li>
<li><a href="Defense_Technical_Information_Center" title="Defense Technical Information Center">Defense Technical Information Center</a></li>
<li><a href="Glossary_of_military_modeling_and_simulation" title="Glossary of military modeling and simulation">Glossary of military modeling and simulation</a></li>
<li><a href="Interservice/Industry_Training%2C_Simulation_and_Education_Conference" title="Interservice/Industry Training, Simulation and Education Conference">Interservice/Industry Training, Simulation and Education Conference</a> (I/ITSEC)</li>
<li><a href="Microscale_and_macroscale_models" title="Microscale and macroscale models">Microscale and macroscale models</a></li>
<li><a href="Military_Operations_Research_Society" title="Military Operations Research Society">Military Operations Research Society</a> (MORS)</li>
<li><a href="Military_simulation" title="Military simulation">Military simulation</a></li>
<li><a href="Modeling_and_Simulation_Coordination_Office" title="Modeling and Simulation Coordination Office">Modeling and Simulation Coordination Office</a></li>
<li><a href="Operations_research" title="Operations research">Operations research</a></li>
<li><a href="Orbit_modeling" title="Orbit modeling">Orbit modeling</a></li>
<li><a href="Power_system_simulation" title="Power system simulation">Power system simulation</a></li>
<li><a href="Rule-based_modeling" title="Rule-based modeling">Rule-based modeling</a></li>
<li><a href="Simulation_Interoperability_Standards_Organization" title="Simulation Interoperability Standards Organization">Simulation Interoperability Standards Organization</a> (SISO)</li>
<li><a href="Society_for_Modeling_and_Simulation_International" title="Society for Modeling and Simulation International">Society for Modeling and Simulation International</a> (SCS)</li></ul>
</div>
<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>
<style data-mw-deduplicate="TemplateStyles:r1239543626">
/* start https://en.wikipedia.org/ */
.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}
/* end https://en.wikipedia.org/ */
</style><div class="reflist reflist-columns references-column-width" style="column-width: 33em;">
<ol class="references">
<li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">
/* start https://en.wikipedia.org/ */
.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("./mw/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("./mw/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("./mw/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("./mw/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}
/* end https://en.wikipedia.org/ */
</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070714013742/http://www.dtic.mil/whs/directives/corres/pdf/500061p.pdf">"Department of Defense INSTRUCTION NUMBER 5000.61: Modeling and Simulation (M&S) Verification, Validation, and Accreditation"</a> <span class="cs1-format">(PDF)</span>. <a href="United_States_Department_of_Defense" title="United States Department of Defense">Department of Defense</a>. 2009-12-09. Archived from <a rel="nofollow" class="external text" href="http://www.dtic.mil/whs/directives/corres/pdf/500061p.pdf">the original</a> <span class="cs1-format">(PDF)</span> on July 14, 2007.</cite></span>
</li>
<li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070710122647/http://www.dtic.mil/whs/directives/corres/pdf/500059p.pdf">"Department of Defense DIRECTIVE NUMBER 5000.59: DoD Modeling and Simulation (M&S) Management"</a> <span class="cs1-format">(PDF)</span>. <a href="United_States_Department_of_Defense" title="United States Department of Defense">Department of Defense</a>. 2007-08-08. Archived from <a rel="nofollow" class="external text" href="http://www.dtic.mil/whs/directives/corres/pdf/500059p.pdf">the original</a> <span class="cs1-format">(PDF)</span> on July 10, 2007.</cite></span>
</li>
<li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.nsf.gov/pubs/reports/sbes_final_report.pdf">"Report on Simulation-Based Engineering Science"</a> <span class="cs1-format">(PDF)</span>. National Science Foundation (NSF) Blue Ribbon Panel. 2006-05-01. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210607191022/https://www.nsf.gov/pubs/reports/sbes_final_report.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2021-06-07.</cite></span>
</li>
<li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite id="CITEREFGeorge_Dvorsky2012" class="citation web cs1">George Dvorsky (6 June 2012). <a rel="nofollow" class="external text" href="https://io9.gizmodo.com/5916320/supercomputer-simulates-nuclear-explosion-down-to-the-molecular-level">"Supercomputer simulates nuclear explosion down to the molecular level"</a>. <i>io9</i>. Gawker Media. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210607191721/https://gizmodo.com/supercomputer-simulates-nuclear-explosion-down-to-the-m-5916320">Archived</a> from the original on 2021-06-07.</cite></span>
</li>
<li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.hpcwire.com/2013/11/14/behind-blue-waters-hurricane-sandy-simulation/">"Hurricane Force Supercomputing: Petascale Simulations of Sandy"</a>. <i>HPCwire</i>. 15 November 2013. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210607191744/https://www.hpcwire.com/2013/11/14/behind-blue-waters-hurricane-sandy-simulation/">Archived</a> from the original on 2021-06-07.</cite></span>
</li>
<li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://scijinks.jpl.nasa.gov/hurricane-simulation/">"NOAA's SciJinks :: Simulate a Hurricane"</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210607191925/https://scijinks.gov/hurricane-simulation/">Archived</a> from the original on 2021-06-07.</cite></span>
</li>
<li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.livescience.com/6392-9-super-cool-supercomputers.html">"9 Super-Cool Uses for Supercomputers"</a>. <i>LiveScience.com</i>. 30 April 2010. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210607191942/https://www.livescience.com/6392-9-super-cool-supercomputers.html">Archived</a> from the original on 2021-06-07.</cite></span>
</li>
<li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><cite id="CITEREFCollinsS.R._ShefreyJ._SokolowskiC.D._Turnitsa2011" class="citation journal cs1">Collins, A.J.; S.R. Shefrey; J. Sokolowski; C.D. Turnitsa; E. Weisel (January 2011). "Modeling and Simulation Standards Study: Healthcare Workshop report". <i>VMASC Report, Suffolk VA</i>.</cite></span>
</li>
<li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><cite id="CITEREFTolk" class="citation journal cs1">Tolk, Andreas. <a rel="nofollow" class="external text" href="http://ww2.odu.edu/~atolk/research/ASEM.045.pdf">"Engineering Management Challenges for Applying Simulation as a Green Technology"</a> <span class="cs1-format">(PDF)</span>.</cite> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{cite journal}}</code>: </span><span class="cs1-visible-error citation-comment">Cite journal requires <code class="cs1-code">|journal=</code> (help)</span></span>
</li>
<li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><cite id="CITEREFPadillaS.Y._DialloA._Tolk2011" class="citation journal cs1">Padilla, Jose; S.Y. Diallo; A. Tolk (October 2011). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130606094638/http://www.scs.org/magazines/2011-10/index_file/Files/Padilla-Diallo-Tolk.pdf">"Do We Need M&S Science?"</a> <span class="cs1-format">(PDF)</span>. <i>SCS M&S Magazine</i> (4): <span class="nowrap">161–</span>166. Archived from <a rel="nofollow" class="external text" href="http://www.scs.org/magazines/2011-10/index_file/Files/Padilla-Diallo-Tolk.pdf">the original</a> <span class="cs1-format">(PDF)</span> on June 6, 2013<span class="reference-accessdate">. Retrieved <span class="nowrap">July 1,</span> 2012</span>.</cite></span>
</li>
<li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><cite id="CITEREFGianniD'AmbrogioTolk2014" class="citation book cs1">Gianni, Daniele; D'Ambrogio, Andrea; Tolk, Andreas, eds. (December 2, 2014). <a rel="nofollow" class="external text" href="http://www.crcpress.com/product/isbn/9781466571457"><i>Modeling and Simulation-Based Systems Engineering Handbook</i></a> (1st ed.). CRC Press. p. 513. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <bdi>9781466571457</bdi>.</cite></span>
</li>
<li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><cite id="CITEREFLee,_Hyunshik_J.2013" class="citation web cs1">Lee, Hyunshik J.; et al. (2013). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140504084914/http://www.bls.gov/osmr/pdf/st130210.pdf">"Simulation Study to Validate Sample Allocation for the National Compensation Survey"</a> <span class="cs1-format">(PDF)</span>. <i>JSM 2013 - Survey Research Methods Section</i>. Bureau of Labor Statistics. Archived from <a rel="nofollow" class="external text" href="http://www.bls.gov/osmr/pdf/st130210.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2014-05-04.</cite></span>
</li>
<li id="cite_note-scs-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-scs_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-scs_13-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110930014211/https://www.scs.org/confernc/foundations/finalprogram.doc">"Waite, W. (2004) "Foundations '04: A Workshop for VV&A in the 21st Century, Session 10: V&V Education Initiatives"</a>. Archived from <a rel="nofollow" class="external text" href="https://www.scs.org/confernc/foundations/finalprogram.doc">the original</a> on 2011-09-30<span class="reference-accessdate">. Retrieved <span class="nowrap">2010-10-15</span></span>.</cite></span>
</li>
</ol></div>
<ul><li><cite id="CITEREFMaster_of_Science" class="citation web cs1">Master of Science, Purdue University Calumet. <a rel="nofollow" class="external text" href="https://archive.today/20141008234945/http://webs.purduecal.edu/techgrad/master-of-science-in-modeling-simulation-and-visualization/">"Modeling, Simulation and Visualization"</a>. Archived from <a rel="nofollow" class="external text" href="http://webs.purduecal.edu/techgrad/master-of-science-in-modeling-simulation-and-visualization/">the original</a> on 2014-10-08<span class="reference-accessdate">. Retrieved <span class="nowrap">2014-10-08</span></span>.</cite></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2></div>
<ul><li>The <b>Springer</b> Publishing House publishes the Simulation Foundations, Methods, and Applications Series <a rel="nofollow" class="external autonumber" href="https://www.springer.com/series/10128">[1]</a>.</li>
<li>Recently, <b>Wiley</b> started their own Series on Modeling and Simulation.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></li></ul>
<div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div>
<style data-mw-deduplicate="TemplateStyles:r1290876196">
/* start https://en.wikipedia.org/ */
.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .infobox .side-box{font-size:100%}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}
/* end https://en.wikipedia.org/ */
</style><style data-mw-deduplicate="TemplateStyles:r1237033735">
/* start https://en.wikipedia.org/ */
@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}
/* end https://en.wikipedia.org/ */
</style><div class="side-box side-box-right sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">
/* start https://en.wikipedia.org/ */
.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}
/* end https://en.wikipedia.org/ */
</style>
<div class="side-box-flex">
<div class="side-box-image"><span class="noviewer" typeof="mw:File"></span></div>
<div class="side-box-text plainlist">Look up <i><b><a href="https://en.wiktionary.org/wiki/Modeling_%26_Simulation" class="extiw external" title="wiktionary:Modeling & Simulation">Modeling & Simulation</a></b></i> in Wiktionary, the free dictionary.</div></div>
</div>
<div class="side-box side-box-right sistersitebox">
<div class="side-box-flex">
<div class="side-box-image"><span class="noviewer" typeof="mw:File"></span></div>
<div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Modeling_and_simulation" class="extiw external" title="commons:Category:Modeling and simulation">Modeling and simulation</a></span>.</div></div>
</div>
<ul><li><a rel="nofollow" class="external text" href="http://www.msco.mil/index.html">US Department of Defense (DoD) Modeling and Simulation Coordination Office (M&SCO)</a></li>
<li><a rel="nofollow" class="external text" href="http://www.modsimworldconference.com/">MODSIM World Conference</a></li>
<li><a rel="nofollow" class="external text" href="http://www.scs.org">Society for Modeling and Simulation</a></li>
<li><a rel="nofollow" class="external text" href="https://www.acm-sigsim-mskr.org/">Association for Computing Machinery (ACM) Special Interest Group (SIG) on SImulation and Modeling (SIM)</a></li>
<li><a rel="nofollow" class="external text" href="http://forbes.house.gov/Biography/mscaucus.htm">US Congressional Modeling and Simulation Caucus</a></li>
<li><a rel="nofollow" class="external text" href="http://www.site.uottawa.ca/~oren/MSBOK/MSBOK-index.htm">Example of an M&S BoK Index</a> developed by <a href="Tuncer_%C3%96ren" title="Tuncer Ören">Tuncer Ören</a></li>
<li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110728023727/http://www.sim-summit.org/BoK07/BoK_SharePoint.htm">SimSummit collaborative environment supporting an M&S BoK</a></li></ul>
<div class="mw-references-wrap"><ol class="references">
<li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://www.wiley.com/WileyCDA/Section/id-815482.html">http://www.wiley.com/WileyCDA/Section/id-815482.html</a> </span>
</li>
</ol></div></div><!--htdig_noindex--><div><div class="zim-footer">
This article is issued from <a class="external text" title="Last edited on 2025-05-03" href="https://en.wikipedia.org/wiki/?title=Modeling_and_simulation&oldid=1288627090">Wikipedia</a>. The text is available under <a class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-Share Alike 4.0</a> unless otherwise noted. Additional terms may apply for the media files.
</div>
</div><!--/htdig_noindex--></div>
</div>
</main>
</div>
</div>
</div>
</body></html>