Agent-based model

From Wikipedia, the free encyclopedia
  (Redirected from Agent based modeling)
Jump to: navigation, search

An agent-based model (ABM) is a class of computational models for simulating the actions and interactions of autonomous agents (both individual or collective entities such as organizations or groups) with a view to assessing their effects on the system as a whole. It combines elements of game theory, complex systems, emergence, computational sociology, multi-agent systems, and evolutionary programming. Monte Carlo Methods are used to introduce randomness. Particularly within ecology, ABMs are also called individual-based models (IBMs),[1] and individuals within IBMs may be simpler than fully autonomous agents within ABMs. A review of recent literature on individual-based models, agent-based models, and multiagent systems shows that ABMs are used on non-computing related scientific domains including biology, ecology and social science.[2] Agent-based modeling is related to, but distinct from, the concept of multi-agent systems or multi-agent simulation in that the goal of ABM is to search for explanatory insight into the collective behavior of agents obeying simple rules, typically in natural systems, rather than in designing agents or solving specific practical or engineering problems.[2]

Agent-based models are a kind of microscale model [3] that simulate the simultaneous operations and interactions of multiple agents in an attempt to re-create and predict the appearance of complex phenomena. The process is one of emergence from the lower (micro) level of systems to a higher (macro) level. As such, a key notion is that simple behavioral rules generate complex behavior. This principle, known as K.I.S.S. ("Keep it simple, stupid") is extensively adopted in the modeling community. Another central tenet is that the whole is greater than the sum of the parts. Individual agents are typically characterized as boundedly rational, presumed to be acting in what they perceive as their own interests, such as reproduction, economic benefit, or social status,[4] using heuristics or simple decision-making rules. ABM agents may experience "learning", adaptation, and reproduction.[5]

Most agent-based models are composed of: (1) numerous agents specified at various scales (typically referred to as agent-granularity); (2) decision-making heuristics; (3) learning rules or adaptive processes; (4) an interaction topology; and (5) a non-agent environment. ABMs are typically implemented as computer simulations, either as custom software, or via ABM toolkits, and this software can be then used to test how changes in individual behaviors will affect the system's emerging overall behavior.

History[edit]

The idea of agent-based modeling was developed as a relatively simple concept in the late 1940s. Since it requires computation-intensive procedures, it did not become widespread until the 1990s.

Early developments[edit]

The history of the agent-based model can be traced back to the Von Neumann machine, a theoretical machine capable of reproduction. The device von Neumann proposed would follow precisely detailed instructions to fashion a copy of itself. The concept was then improved by von Neumann's friend Stanislaw Ulam, also a mathematician; Ulam suggested that the machine be built on paper, as a collection of cells on a grid. The idea intrigued von Neumann, who drew it up—creating the first of the devices later termed cellular automata. Another advance was introduced by the mathematician John Conway. He constructed the well-known Game of Life. Unlike von Neumann's machine, Conway's Game of Life operated by tremendously simple rules in a virtual world in the form of a 2-dimensional checkerboard.

1970s and 1980s: the first models[edit]

One of the earliest agent-based models in concept was Thomas Schelling's segregation model, which was discussed in his paper "Dynamic Models of Segregation" in 1971. Though Schelling originally used coins and graph paper rather than computers, his models embodied the basic concept of agent-based models as autonomous agents interacting in a shared environment with an observed aggregate, emergent outcome.

In the early 1980s, Robert Axelrod hosted a tournament of Prisoner's Dilemma strategies and had them interact in an agent-based manner to determine a winner. Axelrod would go on to develop many other agent-based models in the field of political science that examine phenomena from ethnocentrism to the dissemination of culture.[6] By the late 1980s, Craig Reynolds' work on flocking models contributed to the development of some of the first biological agent-based models that contained social characteristics. He tried to model the reality of lively biological agents, known as artificial life, a term coined by Christopher Langton.

The first use of the word "agent" and a definition as it is currently used today is hard to track down. One candidate appears to be John Holland and John H. Miller's 1991 paper "Artificial Adaptive Agents in Economic Theory"[7] which is based on an earlier conference presentation of theirs.

At the same time, during the 1980s, social scientists, mathematicians, operations researchers, and a scattering of people from other disciplines developed Computational and Mathematical Organization Theory (CMOT). This field grew as a special interest group of The Institute of Management Sciences (TIMS) and its sister society, the Operations Research Society of America (ORSA).

1990s: agent-based modeling expands[edit]

With the appearance of StarLogo in 1990, Swarm and NetLogo in the mid-1990s and RePast and AnyLogic in 2000, or GAMA in 2007 as well as some custom-designed code, modelling software became widely available and the range of domains that ABM was applied to, grew. Bonabeau (2002) is a good survey of the potential of agent-based modeling as of the time[8]

The 1990s were especially notable for the expansion of ABM within the social sciences, one notable effort was the large-scale ABM, Sugarscape, developed by Joshua M. Epstein and Robert Axtell to simulate and explore the role of social phenomenon such as seasonal migrations, pollution, sexual reproduction, combat, and transmission of disease and even culture.[9] Other notable 1990s developments included Carnegie Mellon University's Kathleen Carley ABM,[10] to explore the co-evolution of social networks and culture. During this 1990s timeframe Nigel Gilbert published the first textbook on Social Simulation: Simulation for the social scientist (1999) and established a journal from the perspective of social sciences: the Journal of Artificial Societies and Social Simulation (JASSS). Other than JASSS, agent-based models of any discipline are within scope of SpringerOpen journal Complex Adaptive Systems Modeling (CASM).[11]

Through the mid-1990s, the social sciences thread of ABM began to focus on such issues as designing effective teams, understanding the communication required for organizational effectiveness, and the behavior of social networks. CMOT – later renamed Computational Analysis of Social and Organizational Systems (CASOS) — incorporated more and more agent-based modeling. Samuelson (2000) is a good brief overview of the early history,[12] and Samuelson (2005) and Samuelson and Macal (2006) trace the more recent developments.[13][14]

In the late 1990s, the merger of TIMS and ORSA to form INFORMS, and the move by INFORMS from two meetings each year to one, helped to spur the CMOT group to form a separate society, the North American Association for Computational Social and Organizational Sciences (NAACSOS). Kathleen Carley was a major contributor, especially to models of social networks, obtaining National Science Foundation funding for the annual conference and serving as the first President of NAACSOS. She was succeeded by David Sallach of the University of Chicago and Argonne National Laboratory, and then by Michael Prietula of Emory University. At about the same time NAACSOS began, the European Social Simulation Association (ESSA) and the Pacific Asian Association for Agent-Based Approach in Social Systems Science (PAAA), counterparts of NAACSOS, were organized. As of 2013, these three organizations collaborate internationally. The First World Congress on Social Simulation was held under their joint sponsorship in Kyoto, Japan, in August 2006.[citation needed] The Second World Congress was held in the northern Virginia suburbs of Washington, D.C., in July 2008, with George Mason University taking the lead role in local arrangements.

2000s and later[edit]

More recently, Ron Sun developed methods for basing agent-based simulation on models of human cognition, known as cognitive social simulation.[15] Bill McKelvey, Suzanne Lohmann, Dario Nardi, Dwight Read and others at UCLA have also made significant contributions in organizational behavior and decision-making. Since 2001, UCLA has arranged a conference at Lake Arrowhead, California, that has become another major gathering point for practitioners in this field.[citation needed]

Theory[edit]

Most computational modeling research describes systems in equilibrium or as moving between equilibria. Agent-based modeling, however, using simple rules, can result in different sorts of complex and interesting behavior. The three ideas central to agent-based models are agents as objects, emergence, and complexity.

Agent-based models consist of dynamically interacting rule-based agents. The systems within which they interact can create real-world-like complexity. Typically agents are situated in space and time and reside in networks or in lattice-like neighborhoods. The location of the agents and their responsive behavior are encoded in algorithmic form in computer programs. In some cases, though not always, the agents may be considered as intelligent and purposeful. In ecological ABM (often referred to as "individual-based models" in ecology), agents may, for example, be trees in forest, and would not be considered intelligent, although they may be "purposeful" in the sense of optimizing access to a resource (such as water). The modeling process is best described as inductive. The modeler makes those assumptions thought most relevant to the situation at hand and then watches phenomena emerge from the agents' interactions. Sometimes that result is an equilibrium. Sometimes it is an emergent pattern. Sometimes, however, it is an unintelligible mangle.

In some ways, agent-based models complement traditional analytic methods. Where analytic methods enable humans to characterize the equilibria of a system, agent-based models allow the possibility of generating those equilibria. This generative contribution may be the most mainstream of the potential benefits of agent-based modeling. Agent-based models can explain the emergence of higher-order patterns—network structures of terrorist organizations and the Internet, power-law distributions in the sizes of traffic jams, wars, and stock-market crashes, and social segregation that persists despite populations of tolerant people. Agent-based models also can be used to identify lever points, defined as moments in time in which interventions have extreme consequences, and to distinguish among types of path dependency.

Rather than focusing on stable states, many models consider a system's robustness—the ways that complex systems adapt to internal and external pressures so as to maintain their functionalities. The task of harnessing that complexity requires consideration of the agents themselves—their diversity, connectedness, and level of interactions.

Framework[edit]

Recent work on the Modeling and simulation of Complex Adaptive Systems has demonstrated the need for combining agent-based and complex network based models.[16][17][18] describe a framework consisting of four levels of developing models of complex adaptive systems described using several example multidisciplinary case studies:

  1. Complex Network Modeling Level for developing models using interaction data of various system components.
  2. Exploratory Agent-based Modeling Level for developing agent-based models for assessing the feasibility of further research. This can e.g. be useful for developing proof-of-concept models such as for funding applications without requiring an extensive learning curve for the researchers.
  3. Descriptive Agent-based Modeling (DREAM) for developing descriptions of agent-based models by means of using templates and complex network-based models. Building DREAM models allows model comparison across scientific disciplines.
  4. Validated agent-based modeling using Virtual Overlay Multiagent system (VOMAS) for the development of verified and validated models in a formal manner.

Other methods of describing agent-based models include code templates[19] and text-based methods such as the ODD (Overview, Design concepts, and Design Details) protocol.[20]

The role of the environment where agents live, both macro and micro,[21] is also becoming an important factor in agent-based modelling and simulation work. Simple environment affords simple agents, but complex environments generates diversity of behaviour.[22]

Criticism[edit]

Although agent-based models are often regarded as more close to "reality" than are models proposed by orthodoxies or classical theories in many disciplines (especially economics and other social sciences), agent-based models still receive a lot of criticism on the methodology, the validity of models. In specialized fields like economics, the approaches to agent rationality are also under critical examination.[citation needed]

Applications[edit]

ABM in biology[edit]

Agent-based modeling has been used extensively in biology, including the analysis of the spread of epidemics, and the threat of biowarfare, biological applications including population dynamics,[23] vegetation ecology,[24] the growth and decline of ancient civilizations, evolution of ethnocentric behavior,[25] forced displacement/migration,[26] language choice dynamics,[27] cognitive modeling, and biomedical applications including inflammation and the human immune system.[28] Agent-based models have also been used for developing decision support systems such as for breast cancer.[29] Military applications have been evaluated in.[30]

ABM in business, technology and network theory[edit]

Agent-based models have been used since the mid-1990s to solve a variety of business and technology problems. Examples of applications include the modeling of organizational behaviour and cognition,[31] team working,[32] supply chain optimization and logistics, modeling of consumer behavior, including word of mouth, social network effects, distributed computing, workforce management, and portfolio management. They have also been used to analyze traffic congestion.[33]

Recently, agent based modelling and simulation has been applied to various domains such as studying the impact of publication venues by researchers in the computer science domain (journals versus conferences).[34] In addition, ABMS has been used to simulate information delivery in ambient assisted environments.[35] In the domain of peer-to-Peer, ad-hoc and other self-organizing and complex networks, the usefulness of agent based modeling and simulation has been shown.[36] The use of Computer Science based Formal Specification framework coupled with Wireless sensor networks and an Agent-based simulation has recently been demonstrated.[37]

Agent based evolutionary search or algorithm is a new research topic for solving complex optimization problems.[38]

ABMs in economics and social sciences[edit]

Screenshot of an agent-based modeling software program
Graphic user interface for an agent-based modeling tool.

Prior to, and in the wake of the financial crisis, interest has grown in ABMs as possible tools for economic analysis.[39][40] ABMs do not assume the economy can achieve equilibrium and "representative agents" are replaced by agents with diverse, dynamic, and interdependent behavior including herding. ABMs take a "bottom-up" approach and can generate extremely complex and volatile simulated economies. ABMs can represent unstable systems with crashes and booms that develop out of non-linear (disproportionate) responses to proportionally small changes.[41] A July 2010 article in The Economist looked at ABMs as alternatives to DGSE models.[41] The journal Nature also encouraged agent-based modeling with an editorial that suggested ABMs can do a better job of representing financial markets and other economic complexities than standard models[42] along with an essay by J. Doyne Farmer and Duncan Foley that argued ABMs could fulfill both the desires of Keynes to represent a complex economy and of Robert Lucas to construct models based on microfoundations.[43] Farmer and Foley pointed to progress that has been made using ABMs to model parts of an economy, but argued for the creation of a very large model that incorporates low level models.[44]

Since the beginning of the 20th century ABMs have been deployed in architecture and urban planning to evaluate design and to simulate pedestrian flow in the urban environment.[45]

Organizational ABM: agent-directed simulation[edit]

The agent-directed simulation (ADS) metaphor distinguishes between two categories, namely "Systems for Agents" and "Agents for Systems."[46] Systems for Agents (sometimes referred to as agents systems) are systems implementing agents for the use in engineering, human and social dynamics, military applications, and others. Agents for Systems are divided in two subcategories. Agent-supported systems deal with the use of agents as a support facility to enable computer assistance in problem solving or enhancing cognitive capabilities. Agent-based systems focus on the use of agents for the generation of model behavior in a system evaluation (system studies and analyses).

Implementation of ABMs[edit]

Many agent-based modeling software are designed for serial von-Neumann computer architectures. This limits the speed and scalability of these systems. A recent development is the use of data-parallel algorithms on Graphics Processing Units GPUs for ABM simulation.[47][48][49] The extreme memory bandwidth combined with the sheer number crunching power of multi-processor GPUs has enabled simulation of millions of agents at tens of frames per second.

Verification and validation of ABMs[edit]

Verification and validation (V&V) of simulation models is extremely important.[50][51] Verification involves the model being debugged to ensure it works correctly, whereas validation ensures that the right model has been built. Verification and validation can be seen in the social sciences domain,[52] and validation seen in Computational Economics[53] Face validation, sensitivity analysis, calibration and statistical validation have also been demonstrated.[54] Discrete-Event Simulation Framework approach for the validation of Agent-Based systems has been proposed in.[55] A comprehensive resource on empirical validation of agent-based models is[56]

As an example of V&V technique, consider VOMAS (Virtual Overlay Multi-Agent System),[57] a software engineering based approach, where a virtual overlay Multi-agent system is developed alongside the agent-based model. The agents in the Multi-Agent System are able to gather data by generation of logs as well as provide run-time validation and verification support by watch agents and also agents to check any violation of invariants at run-time. These are set by the Simulation Specialist with help from the SME (Subject Matter Expert). Muazi et al. also provide an example of using VOMAS for Verification and Validation of a Forest Fire simulation model.[58]

VOMAS provides a formal way of Validation and Verification. If you want to develop a VOMAS, you need to start by designing VOMAS agents along with the agents in the actual simulation preferably from the start. So, in essence, by the time your simulation model is complete, you essentially can consider to have one model which contains two models:

  1. An Agent Based Model of the intended system
  2. An Agent Based Model of the VOMAS

Unlike all previous work on Verification and Validation, VOMAS agents ensure that the simulations are validated in-simulation i.e. even during execution. In case of any exceptional situations, which are programmed on the directive of the Simulation Specialist (SS), the VOMAS agents can report them. In addition, the VOMAS agents can be used to log key events for the sake of debugging and subsequent analysis of simulations. In other words, VOMAS allows for a flexible use of any given technique for the sake of Verification and Validation of an Agent-based Model in any domain.

Details of Validated agent-based modeling using VOMAS along with several case studies are given in.[59] This thesis also gives details of "Exploratory Agent-based Modeling", "Descriptive Agent-based Modeling" in addition to "Validated Agent-based Modeling" using several worked case study examples.

See also[edit]

References[edit]

Inline[edit]

  1. ^ Grimm, Volker; Railsback, Steven F. (2005). Individual-based Modeling and Ecology. Princeton University Press. p. 485. ISBN 978-0-691-09666-7. 
  2. ^ a b Niazi, Muaz; Hussain, Amir (2011). "Agent-based Computing from Multi-agent Systems to Agent-Based Models: A Visual Survey" (PDF). Scientometrics (Springer) 89 (2): 479–499. doi:10.1007/s11192-011-0468-9. 
  3. ^ Gustafsson, Leif; Sternad, Mikael (2010). "Consistent micro, macro, and state-based population modelling". Mathematical Biosciences 225: 94–107. doi:10.1016/j.mbs.2010.02.003. 
  4. ^ "Agent-Based Models of Industrial Ecosystems". Rutgers University. October 6, 2003. 
  5. ^ "Agent-based modeling: Methods and techniques for simulating human systems". Proceedings of the National Academy of Sciences of the United States of America (National Academy of Sciences). May 14, 2002. 
  6. ^ Axelrod, Robert (1997). The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration. Princeton: Princeton University Press. ISBN 978-0-691-01567-5. 
  7. ^ Holland, J.H.; Miller, J.H. (1991). "Artificial Adaptive Agents in Economic Theory" (PDF). American Economic Review 81 (2): 365–71. 
  8. ^ Bonabeau, Eric (2002). "Agent-based modeling: methods and techniques for simulating human systems". Proceedings of the National Academy of Sciences of the United States of America 99 (3): 7280–7287. doi:10.1073/pnas.082080899. 
  9. ^ Epstein, Joshua M.; Axtell, Robert (October 11, 1996). Growing artificial societies: social science from the bottom up. Brookings Institution Press. p. 224. ISBN 978-0-262-55025-3. 
  10. ^ "Construct". Computational Analysis of Social Organizational Systems. 
  11. ^ Springer Complex Adaptive Systems Modeling Journal (CASM) http://www.casmodeling.com
  12. ^ Samuelson, Douglas A. (December 2000). "Designing Organizations". OR/MS Today (Institute for Operations Research and the Management Sciences). 
  13. ^ Samuelson, Douglas A. (February 2005). "Agents of Change". OR/MS Today (Institute for Operations Research and the Management Sciences). 
  14. ^ Samuelson, Douglas A.; Macal, Charles M. (August 2006). "Agent-Based Modeling Comes of Age". OR/MS Today (Institute for Operations Research and the Management Sciences). 
  15. ^ Sun, Ron (2006). Cognition and Multi-Agent Interaction: From Cognitive Modeling to Social Simulation. Cambridge University Press. ISBN 0-521-83964-5. 
  16. ^ Aditya Kurve, Khashayar Kotobi, George Kesidis. An agent-based framework for performance modeling of an optimistic parallel discrete event simulator. 
  17. ^ Niazi, Muaz A. K. Towards A Novel Unified Framework for Developing Formal, Network and Validated Agent-Based Simulation Models of Complex Adaptive Systems.  (PhD Thesis)
  18. ^ Niazi, M.A. and Hussain, A (2012), Cognitive Agent-based Computing-I: A Unified Framework for Modeling Complex Adaptive Systems using Agent-based & Complex Network-based Methods Cognitive Agent-based Computing
  19. ^ Link "Swarm code templates for model comparison". Swarm Development Group. 
  20. ^ Volker Grimm, Uta Berger, Finn Bastiansen, Sigrunn Eliassen, Vincent Ginot, Jarl Giske, John Goss-Custard, Tamara Grand, Simone K. Heinz, Geir Huse, Andreas Huth, Jane U. Jepsen, Christian Jørgensen, Wolf M. Mooij, Birgit Müller, Guy Pe'er, Cyril Piou, Steven F. Railsback, Andrew M. Robbins, Martha M. Robbins, Eva Rossmanith, Nadja Rüger, Espen Strand, Sami Souissi, Richard A. Stillman, Rune Vabø, Ute Visser, Donald L. DeAngelis (September 15, 2006). "A standard protocol for describing individual-based and agent-based models". Ecological Modelling 198 (1–2): 115–126. doi:10.1016/j.ecolmodel.2006.04.023.  (ODD Paper)
  21. ^ Ch'ng, E. (2012) Macro and Micro Environment for Diversity of Behaviour in Artificial Life Simulation, Artificial Life Session, The 6th International Conference on Soft Computing and Intelligent Systems, The 13th International Symposium on Advanced Intelligent Systems, November 20–24, 2012, Kobe, Japan. Macro and Micro Environment
  22. ^ Simon, Herbert A. The sciences of the artificial. MIT press, 1996.
  23. ^ Caplat, Paul; Anand, Madhur; Bauch, Chris (March 10, 2008). "Symmetric competition causes population oscillations in an individual-based model of forest dynamics". Ecological Modelling 211 (3–4): 491–500. doi:10.1016/j.ecolmodel.2007.10.002. 
  24. ^ Ch'ng, E. (2009) An Artificial Life-Based Vegetation Modelling Approach for Biodiversity Research, in Nature-Inspired informatics for Intelligent Applications and Knowledge Discovery: Implications in Business, Science and Engineering, R. Chiong, Editor. 2009, IGI Global: Hershey, PA. http://complexity.io/Publications/NII-alifeVeg-eCHNG.pdf
  25. ^ Lima, Francisco W. S.; Hadzibeganovic, Tarik; Stauffer, Dietrich (2009). "Evolution of ethnocentrism on undirected and directed Barabási–Albert networks". Physica A 388 (24): 4999–5004. doi:10.1016/j.physa.2009.08.029. 
  26. ^ Edwards, Scott (June 9, 2009). The Chaos of Forced Migration: A Modeling Means to an Humanitarian End. VDM Verlag. p. 168. ISBN 978-3-639-16516-6. 
  27. ^ Hadzibeganovic, Tarik; Stauffer, Dietrich; Schulze, Christian (2009). "Agent-based computer simulations of language choice dynamics". Annals of the New York Academy of Sciences 1167: 221–229. doi:10.1111/j.1749-6632.2009.04507.x. PMID 19580569. 
  28. ^ "Tutorial on agent-based modeling and simulation part 2: how to model with agents" (PDF). Winter Simulation Conference. Association for Computing Machinery. 2006. 
  29. ^ Amnah Siddiqah, Muaz Niazi, Farah Mustafa, Habib Bokhari, Amir Hussain, Noreen Akram, Shabnum Shaheen, Fouzia Ahmed & Sarah Iqbal (August 15–16, 2009). "A new hybrid agent-based modeling decision support system for breast cancer research" (PDF). Ieee Icict (Karachi: IBA).  (Breast Cancer DSS)
  30. ^ Barathy, Gnana; Yilmaz, Levent; Tolk, Andreas (March 2012). Agent Directed Simulation for Combat Modeling and Distributed Simulation. "Engineering Principles of Combat Modeling and Distributed Simulation". Engineering Principles of Combat Modeling and Distributed Simulation (Hoboken, NJ: Wiley): 669–714. doi:10.1002/9781118180310.ch27. ISBN 9781118180310. 
  31. ^ Hughes, H. P. N., Clegg, C. W., Robinson, M. A., & Crowder, R. M. (2012). Agent-based modelling and simulation: The potential contribution to organizational psychology. Journal of Occupational and Organizational Psychology, 85(3), 487–502. http://dx.doi.org/10.1111/j.2044-8325.2012.02053.x
  32. ^ Crowder, R. M., Robinson, M. A., Hughes, H. P. N., & Sim, Y. W. (2012). The development of an agent-based modeling framework for simulating engineering team work. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, 42(6), 1425–1439. http://dx.doi.org/10.1109/TSMCA.2012.2199304
  33. ^ "Application of Agent Technology to Traffic Simulation". United States Department of Transportation. May 15, 2007. 
  34. ^ Niazi, M.; Baig, A. R.; Hussain, A.; Bhatti, S. (2008). "Simulation of the Research Process" (PDF). In Mason, S.; Hill, R.; Mönch, L.; Rose, O.; Jefferson, T.; Fowler, J. W. Proceedings of the 40th Conference on Winter Simulation (Miami, Florida, December 7 – 10, 2008): 1326–1334. 
  35. ^ Niazi, Muaz A. (2008). "Self-Organized Customized Content Delivery Architecture for Ambient Assisted Environments" (PDF). UPGRADE '08: Proceedings of the third international workshop on Use of P2P, grid and agents for the development of content networks: 45–54. 
  36. ^ Niazi, Muaz; Hussain, Amir (March 2009). "Agent based Tools for Modeling and Simulation of Self-Organization in Peer-to-Peer, Ad-Hoc and other Complex Networks" (PDF). IEEE Communications Magazine 47 (3): 163–173. doi:10.1109/MCOM.2009.4804403. 
  37. ^ Niazi, Muaz; Hussain, Amir (2011). "A Novel Agent-Based Simulation Framework for Sensing in Complex Adaptive Environments" (PDF). IEEE Sensors Journal 11 (2): 404–412. doi:10.1109/JSEN.2010.2068044. 
  38. ^ Sarker, R. A.; Ray, T. (2010). "Agent Based Evolutionary Approach: An Introduction". Agent-Based Evolutionary Search. Adaptation, Learning, and Optimization 5. p. 1. doi:10.1007/978-3-642-13425-8_1. ISBN 978-3-642-13424-1.  edit
  39. ^ Page, Scott E. (2008). "Agent-Based Models". The New Palgrave Dictionary of Economics (2 ed.). 
  40. ^ Testfatsion, Leigh; Judd, Kenneth, eds. (May 2006). Handbook of Computational Economics 2. Elsevier. p. 904. ISBN 978-0-444-51253-6.  (Chapter preview)
  41. ^ a b "Agents of change". The Economist. July 22, 2010. Retrieved February 16, 2011. 
  42. ^ "A model approach" (Editorial). Nature 460 (7256): 667. August 6, 2009. doi:10.1038/460667a. 
  43. ^ Farmer & Foley 2009, p. 685.
  44. ^ Farmer & Foley 2009, p. 686.
  45. ^ Aschwanden, G.D.P.A (2009). "Evaluation of 3D city models using automatic placed urban agents". Automation in Construction. doi:10.1016/j.autcon.2011.07.001. 
  46. ^ "Agent-Directed Simulation". 
  47. ^ Isaac Rudomin et al. (2006). "Large Crowds in the GPU". Monterrey Institute of Technology and Higher Education. [dead link]
  48. ^ D'Souza, Roshan M. "Mega-Scale Interactive Agent-Based Model Simulations on the GPU". Michigan Technological University. 
  49. ^ Richmond, Paul; Romano, Daniela M. (2008). "Agent Based GPU, a Real-time 3D Simulation and Interactive Visualisation Framework for Massive Agent Based Modelling on the GPU" (PDF). Proceedings International Workshop on Super Visualisation (IWSV08). Retrieved April 27, 2012. 
  50. ^ Sargent, R. G. (2000). "Verification, validation and accreditation of simulation models". 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165) 1. pp. 50–59. doi:10.1109/WSC.2000.899697. ISBN 0-7803-6579-8.  edit
  51. ^ Galán, José Manuel; Izquierdo, Luis; Izquierdo, Segismundo S.; Santos, José Ignacio; del Olmo, Ricardo; López-Paredes, Adolfo; Edmonds, Bruce (2009). "Errors and Artefacts in Agent-Based Modelling". Journal of Artificial Societies and Social Simulation 12 (1): 1. ISSN 1460-7425. 
  52. ^ Ormerod, P.; Rosewell, B. (2009). "Validation and Verification of Agent-Based Models in the Social Sciences". Epistemological Aspects of Computer Simulation in the Social Sciences. Lecture Notes in Computer Science 5466. p. 130. doi:10.1007/978-3-642-01109-2_10. ISBN 978-3-642-01108-5.  edit
  53. ^ Bianchi, C.; Cirillo, P.; Gallegati, M.; Vagliasindi, P. A. (2007). "Validating and Calibrating Agent-Based Models: A Case Study". Computational Economics 30 (3): 245. doi:10.1007/s10614-007-9097-z.  edit
  54. ^ Klügl, F. (2008). "A validation methodology for agent-based simulations". Proceedings of the 2008 ACM symposium on Applied computing - SAC '08. p. 39. doi:10.1145/1363686.1363696. ISBN 9781595937537.  edit
  55. ^ Fortino, G.; Garro, A.; Russo, W. (2005). A Discrete-Event Simulation Framework for the Validation of Agent-Based and Multi-Agent Systems (PDF). 
  56. ^ Tesfatsion, Leigh. "Empirical Validation: Agent-Based Computational Economics". Iowa State University. 
  57. ^ Niazi, Muaz; Hussain, Amir; Kolberg, Mario. "Verification and Validation of Agent-Based Simulations using the VOMAS approach" (PDF). Proceedings of the Third Workshop on Multi-Agent Systems and Simulation '09 (MASS '09), as part of MALLOW 09, Sep 7–11, 2009, Torino, Italy. 
  58. ^ Niazi, Muaz; Siddique, Qasim; Hussain, Amir; Kolberg, Mario (April 11–15, 2010). "Verification & Validation of an Agent-Based Forest Fire Simulation Model" (PDF). Proceedings of the Agent Directed Simulation Symposium 2010, as part of the ACM SCS Spring Simulation Multiconference, pp142-149, (Orlando, FL,). 
  59. ^ Niazi, Muaz A. K. (June 11, 2011). Towards A Novel Unified Framework for Developing Formal, Network and Validated Agent-Based Simulation Models of Complex Adaptive Systems. University of Stirling.  PhD Thesis

General[edit]

External links[edit]

Articles/General Information
Simulation models