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Modeling and simulation (M&S) is the use of
model A model is an informative representation of an object, person or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a measure. Models c ...
s (e.g.,
physical Physical may refer to: * Physical examination, a regular overall check-up with a doctor * ''Physical'' (Olivia Newton-John album), 1981 ** "Physical" (Olivia Newton-John song) * ''Physical'' (Gabe Gurnsey album) * "Physical" (Alcazar song) (2004) * ...
, mathematical, or
logical Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
representation of a
system A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and express ...
, entity, phenomenon, or process) as a basis for
simulation A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of Conceptual model, models; the model represents the key characteristics or behaviors of the selected system or proc ...
s to develop data utilized for managerial or technical
decision making In psychology, decision-making (also spelled decision making and decisionmaking) is regarded as the cognitive process resulting in the selection of a belief or a course of action among several possible alternative options. It could be either ra ...
. In the computer application of modeling and simulation a computer is used to build a
mathematical model A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, ...
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
simulation A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of Conceptual model, models; the model represents the key characteristics or behaviors of the selected system or proc ...
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. The use of M&S within
engineering Engineering is the use of scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad range of more speciali ...
is well recognized. Simulation technology belongs to the tool set of engineers of all application domains and has been included in the
body of knowledge A body of knowledge (BOK or BoK) is the complete set of concepts, terms and activities that make up a professional domain, as defined by the relevant learned society or professional association.Oliver, G.R. (2012). ''Foundations of the Assumed B ...
of
engineering management Engineering management is the application of the practice of management to the practice of engineering. Engineering management is a career that brings together the technological problem-solving ability of engineering and the organizational, admini ...
. M&S helps to reduce costs, 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. 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
computer simulation Computer simulation is the process of mathematical modelling, performed on a computer, which is designed to predict the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be deter ...
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.


Interest in simulations

Technically, simulation is well accepted. The 2006
National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National ...
(NSF) Report on "Simulation-based Engineering Science" 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: #Using simulations is generally cheaper, safer and sometimes more ethical than conducting real-world experiments. For example,
supercomputer A supercomputer is a computer with a high level of performance as compared to a general-purpose computer. The performance of a supercomputer is commonly measured in floating-point operations per second ( FLOPS) instead of million instructio ...
s are sometimes used to simulate the detonation of nuclear devices and their effects in order to support better preparedness in the event of a
nuclear explosion A nuclear explosion is an explosion that occurs as a result of the rapid release of energy from a high-speed nuclear reaction. The driving reaction may be nuclear fission or nuclear fusion or a multi-stage cascading combination of the two, ...
. Similar efforts are conducted to simulate hurricanes and other natural catastrophes. #Simulations can often be even more realistic than traditional experiments, as they allow the free configuration 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
NASA mission This is a list of NASA missions, both crewed and robotic, since the establishment of NASA in 1958. There are over 80 currently active science missions. X-Plane program Since 1945, NACA (NASA's predecessor) and, since 1958, NASA have conduc ...
s. #Simulations can often be conducted faster than real time. This allows using them for efficient
if-then-else In computer science, conditionals (that is, conditional statements, conditional expressions and conditional constructs,) are programming language commands for handling decisions. Specifically, conditionals perform different computations or actio ...
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
decision support system A decision support system (DSS) is an information system that supports business or organizational decision-making activities. DSSs serve the management, operations and planning levels of an organization (usually mid and higher management) and ...
s. #Simulations allow setting up a coherent
synthetic environment A synthetic environment is a computer simulation that represents activities at a high level of realism, from simulation of theaters of war to factories and manufacturing processes. These environments may be created within a single computer or a vast ...
that allows for integration of simulated systems in the early analysis phase via mixed virtual systems with first prototypical components to a virtual test environment 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). 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
military A military, also known collectively as armed forces, is a heavily armed, highly organized force primarily intended for warfare. It is typically authorized and maintained by a sovereign state, with its members identifiable by their distinct ...
organizations is part of the acquisition/
procurement Procurement is the method of discovering and agreeing to terms and purchasing goods, services, or other works from an external source, often with the use of a tendering or competitive bidding process. When a government agency buys goods or s ...
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
systems engineering Systems engineering is an interdisciplinary field of engineering and engineering management that focuses on how to design, integrate, and manage complex systems over their life cycles. At its core, systems engineering utilizes systems thinki ...
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.


Simulation in science

Modeling and simulation are important in research. Representing the real systems either via
physical Physical may refer to: * Physical examination, a regular overall check-up with a doctor * ''Physical'' (Olivia Newton-John album), 1981 ** "Physical" (Olivia Newton-John song) * ''Physical'' (Gabe Gurnsey album) * "Physical" (Alcazar song) (2004) * ...
reproductions at smaller scale, or via
mathematical model A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, ...
s 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.


As an emerging discipline

"The emerging discipline of M&S is based on developments in diverse computer science areas as well as influenced by developments in
Systems Theory Systems theory is the interdisciplinary study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or human-made. Every system has causal boundaries, is influenced by its context, defined by its structu ...
,
Systems Engineering Systems engineering is an interdisciplinary field of engineering and engineering management that focuses on how to design, integrate, and manage complex systems over their life cycles. At its core, systems engineering utilizes systems thinki ...
,
Software Engineering Software engineering is a systematic engineering approach to software development. A software engineer is a person who applies the principles of software engineering to design, develop, maintain, test, and evaluate computer software. The term '' ...
,
Artificial Intelligence Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech ...
, 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." Padilla et al. recommend in "Do we Need M&S Science" to distinguish between M&S Science, Engineering, and Applications. *''M&S Science'' contributes to the Theory of M&S, defining the academic foundations of the discipline. *''M&S Engineering'' is rooted in Theory but looks for applicable solution patterns. The focus is general methods that can be applied in various problem domains. *''M&S Applications'' 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. 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 modeling solutions. 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.


In pharmacy education

The shortage of
pharmacist A pharmacist, also known as a chemist (Commonwealth English) or a druggist (North American and, archaically, Commonwealth English), is a healthcare professional who prepares, controls and distributes medicines and provides advice and instructi ...
s in the United States has prompted increases in class sizes and the number of satellite and distance-learning programs at colleges and schools of pharmacy. This rapid expansion has created a burden on existing clinical experimental sites. The Accreditation Council on Pharmacy Education (ACPE) requires at least 1440 hours of advanced pharmacy practice experience (APPE); included among the 1440 hours of APPE, the ACPE requires colleges and schools of pharmacy to provide a minimum of 300 hours of introductory pharmacy practice experience (IPPE) interspersed throughout the first three years of the pharmacy curriculum. Simulation training may be one such model to provide students with the opportunity to apply didactic knowledge and reduce the burden on experiential sites. The inclusion of simulation in IPPEs has gained acceptance and is encouraged by ACPE as described in the Policies and Procedures for ACPE Accreditation of Professional Degree Programs – January 2010. Addendum 1.3, Simulations for Introductory Pharmacy Practices Experiences – Approved June 2010, states:
''Simulation may not be utilized to supplant or replace the minimum expectation for time spent in actual pharmacy practice settings as set forth in the previously established policy. Beyond the majority of time in actual pharmacy practice settings, colleges and schools may utilize simulation to account for no greater than 20% (e.g., 60 hours of a 300-hour IPPE program) of total IPPE time.''
Several pharmacy colleges and schools have incorporated simulation as part of their core curricula. At the University of Pittsburgh School of Pharmacy, high-fidelity patient simulators are used to reinforce therapeutics. While the University of Rhode Island College of Pharmacy integrated their simulation program into their pharmacology and medicinal chemistry coursework; and was the first college of pharmacy to purchase a high-fidelity patient simulator. Some pharmacy colleges and schools host virtual reality and full environment simulation programs. For example, Purdue University School of Pharmacy and the university's Envision Center for Data Perceptualization collaborated with the United States Pharmacopeia (USP) to create a virtual clean room that is USP 797 standards compliant.


Application domains

There are many categorizations possible, but the following taxonomy has been very successfully used in the defense domain, and is currently applied to medical simulation and transportation simulation as well. * ''Analyses Support'' 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. * ''Systems Engineering Support'' 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. * ''Training and Education Support'' provides simulators,
virtual training Educational technology (commonly abbreviated as edutech, or edtech) is the combined use of computer hardware, software, and educational theory and practice to facilitate learning. When referred to with its abbreviation, edtech, it often refer ...
environments, and
serious game A serious game or applied game is a game designed for a primary purpose other than pure entertainment. The "serious" adjective is generally prepended to refer to video games used by industries like defense, education, scientific exploration, he ...
s to train and educate people. This style of work is often accomplished by trainers working in concert with computer scientists. A special use of ''Analyses Support'' 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.


Individual concepts

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.
Modeling A model is an informative representation of an object, person or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a measure. Models c ...
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
conceptualization In information science a conceptualization is an abstract simplified view of some selected part of the world, containing the objects, concepts, and other entities that are presumed of interest for some particular purpose and the relationships betw ...
,
simulation A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of Conceptual model, models; the model represents the key characteristics or behaviors of the selected system or proc ...
challenges mainly focus on
implementation Implementation is the realization of an application, or execution of a plan, idea, model, design, specification, standard, algorithm, or policy. Industry-specific definitions Computer science In computer science, an implementation is a real ...
, in other words, modeling resides on the abstraction level, whereas simulation resides on the implementation level. 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 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.


Academic programs

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. The following institutions offer degrees in Modeling and Simulation: ;Ph D. Programs *
University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a Private university, private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest- ...
(Philadelphia, PA) *
Old Dominion University Old Dominion University (Old Dominion or ODU) is a public research university in Norfolk, Virginia. It was established in 1930 as the Norfolk Division of the College of William & Mary and is now one of the largest universities in Virginia w ...
(Norfolk, VA) *
University of Alabama in Huntsville The University of Alabama in Huntsville (UAH) is a public research university in Huntsville, Alabama. The university is accredited by the Southern Association of Colleges and Schools and comprises nine colleges: arts, humanities & social scienc ...
(Huntsville, AL) *
University of Central Florida The University of Central Florida (UCF) is a public research university whose main campus is in unincorporated Orange County, Florida. UCF also has nine smaller regional campuses throughout central Florida. It is part of the State Universi ...
(Orlando, FL) *
Naval Postgraduate School The Naval Postgraduate School (NPS) is a public graduate school operated by the United States Navy and located in Monterey, California. It offers master’s and doctoral degrees in more than 70 fields of study to the U.S. Armed Forces, DOD c ...
(Monterey, CA) ; Masters Programs *
National University of Science and Technology, Pakistan The National University of Sciences & Technology (NUST) ( ur, , Qaumī Jāmi'ā barā'e Sāins va Ṭaiknālōjī) is a multi-campus public research university having its main campus in Islamabad, Pakistan. The university offers undergraduat ...
(Islamabad, Pakistan) *
Arizona State University Arizona State University (Arizona State or ASU) is a public research university in the Phoenix metropolitan area. Founded in 1885 by the 13th Arizona Territorial Legislature, ASU is one of the largest public universities by enrollment in the ...
(Tempe, AZ) *
Old Dominion University Old Dominion University (Old Dominion or ODU) is a public research university in Norfolk, Virginia. It was established in 1930 as the Norfolk Division of the College of William & Mary and is now one of the largest universities in Virginia w ...
(Norfolk, VA) *
University of Central Florida The University of Central Florida (UCF) is a public research university whose main campus is in unincorporated Orange County, Florida. UCF also has nine smaller regional campuses throughout central Florida. It is part of the State Universi ...
(Orlando, FL) *
the University of Alabama in Huntsville The University of Alabama in Huntsville (UAH) is a public research university in Huntsville, Alabama. The university is accredited by the Southern Association of Colleges and Schools and comprises nine colleges: arts, humanities & social science ...
(Huntsville, AL) *
Middle East Technical University Middle East Technical University (commonly referred to as METU; in Turkish, ''Orta Doğu Teknik Üniversitesi'', ODTÜ) is a public technical university located in Ankara, Turkey. The university emphasizes research and education in engineering ...
(Ankara, Turkey) *
University of New South Wales The University of New South Wales (UNSW), also known as UNSW Sydney, is a public research university based in Sydney, New South Wales, Australia. It is one of the founding members of Group of Eight, a coalition of Australian research-intensiv ...
(Australia) *
Naval Postgraduate School The Naval Postgraduate School (NPS) is a public graduate school operated by the United States Navy and located in Monterey, California. It offers master’s and doctoral degrees in more than 70 fields of study to the U.S. Armed Forces, DOD c ...
(Monterey, CA)
Department of Scientific Computing, Modeling and Simulation (M.Tech (Modelling & Simulation))
(Savitribai Phule Pune University, India) *
Columbus State University Columbus State University is a public university in Columbus, Georgia. Founded as Columbus College in 1958, the university was established and is administered by the Board of Regents of the University System of Georgia. History The universit ...
(Columbus, GA) *
Purdue University Calumet Purdue University Northwest (PNW) is a public university with two campuses in Northwest Indiana, one in Hammond and another in Westville. It is part of the Purdue University system and offers more than 70 undergraduate and graduate degree p ...
(Hammond, IN) *
Delft University of Technology Delft University of Technology ( nl, Technische Universiteit Delft), also known as TU Delft, is the oldest and largest Dutch public technical university, located in Delft, Netherlands. As of 2022 it is ranked by QS World University Rankings among ...
(Delft, The Netherlands) ; Professional Science Masters Programs *
University of Central Florida The University of Central Florida (UCF) is a public research university whose main campus is in unincorporated Orange County, Florida. UCF also has nine smaller regional campuses throughout central Florida. It is part of the State Universi ...
(Orlando, FL) ; Graduate Certificate Programs *
Portland State University Portland State University (PSU) is a public research university in Portland, Oregon. It was founded in 1946 as a post-secondary educational institution for World War II veterans. It evolved into a four-year college over the following two dec ...
br>Systems ScienceColumbus State University
(Columbus, GA) *
the University of Alabama in Huntsville The University of Alabama in Huntsville (UAH) is a public research university in Huntsville, Alabama. The university is accredited by the Southern Association of Colleges and Schools and comprises nine colleges: arts, humanities & social science ...
(Huntsville, AL) ; Undergraduate Programs *
Old Dominion University Old Dominion University (Old Dominion or ODU) is a public research university in Norfolk, Virginia. It was established in 1930 as the Norfolk Division of the College of William & Mary and is now one of the largest universities in Virginia w ...
(Norfolk, VA) *
Ghulam Ishaq Khan Institute of Engineering Sciences and Technology The Ghulam Ishaq Khan Institute of Engineering Sciences and Technology ( ur, ; commonly referred as GIKI), is a private research university located in Topi, Khyber Pakhtunkhwa in Pakistan. The institute has a campus that is located in the vic ...
(Swabi, Pakistan)


''Modeling and Simulation Body of Knowledge''

The ''Modeling and Simulation Body of Knowledge'' (M&S BoK) is the domain of knowledge (information) and capability (competency) that identifies the modeling and simulation
community of practice A community of practice (CoP) is a group of people who "share a concern or a passion for something they do and learn how to do it better as they interact regularly". The concept was first proposed by cognitive anthropologist Jean Lave and educat ...
and the M&S profession, industry, and market. The M&S BoK Index is a set of pointers providing handles so that subject information content can be denoted, identified, accessed, and manipulated.


Summary

Three activities have to be conducted and orchestrated to ensure success: #a model must be produced that captures formally the conceptualization, #a simulation must implement this model, and # 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).


See also

*
Computational science Computational science, also known as scientific computing or scientific computation (SC), is a field in mathematics that uses advanced computing capabilities to understand and solve complex problems. It is an area of science that spans many disc ...
*
Computational engineering Computational science and engineering (CSE) is a relatively new discipline that deals with the development and application of computational models and simulations, often coupled with high-performance computing, to solve complex physical problems ...
*
Defense Technical Information Center The Defense Technical Information Center (DTIC, pronounced "Dee-tick") is the repository for research and engineering information for the United States Department of Defense (DoD). DTIC's services are available to DoD personnel, federal governm ...
*
Glossary of military modeling and simulation The US DoD Modeling and Simulation Glossary (formally known as DoD 5000.59-M), was originally created in 1998. the glossary was being updated, without changing its main objective of providing a uniform language for use by the M&S community. This ...
* Interservice/Industry Training, Simulation and Education Conference (I/ITSEC) *
Microscale and macroscale models Microscale models form a broad class of computational models that simulate fine-scale details, in contrast with macroscale models, which amalgamate details into select categories. Microscale and macroscale models can be used together to understan ...
*
Military Operations Research Society The Military Operations Research Society (MORS) is a society for professionals active within defense applications of operations research (OR) in the United States. Memberships include analysts, researchers, consultants and officers in the Unit ...
(MORS) *
Military simulation Military simulations, also known informally as war games, are simulations in which theories of warfare can be tested and refined without the need for actual hostilities. Military simulations are seen as a useful way to develop tactical, strateg ...
* Modeling and Simulation Coordination Office *
Operations research Operations research ( en-GB, operational research) (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a discipline that deals with the development and application of analytical methods to improve decis ...
* Orbit modeling * Power system simulation * Rule-based modeling * Simulation Interoperability Standards Organization (SISO) * Society for Modeling and Simulation International (SCS)


References

*


Further reading

* The Springer Publishing House publishes the Simulation Foundations, Methods, and Applications Serie

* Recently, Wiley started their own Series on Modeling and Simulatio


External links


US Department of Defense (DoD) Modeling and Simulation Coordination Office (M&SCO)

MODSIM World Conference

Society for Modeling and Simulation

Association for Computing Machinery (ACM) Special Interest Group (SIG) on SImulation and Modeling (SIM)




developed by Tuncer Ören
SimSummit collaborative environment supporting an M&S BoK
{{DEFAULTSORT:Modeling And Simulation Military terminology