Hybrid simulation modelling in operational research: A state-of-the-art review

ABSTRACT Hybrid simulation (defined as a modelling approach that combines two or more of the following methods: discrete-event simulation, system dynamics, and agent-based simulation) has experienced near-exponential growth in popularity in the past two decades. However, a large proportion of the academic literature on hybrid simulation is found in computer science and engineering journals. Given the importance of this emerging area and its relevance to operational research, this paper provides a review of the topic from an OR perspective. The results of a review of the hybrid simulation literature are presented, using a novel framework based on the simulation lifecycle that will be useful for future modellers and authors alike. Promising areas for future research are identified: these include the development of new methods for conceptual modelling and for model validation. Currently the main application areas are healthcare, supply chain management and manufacturing, and the majority of published models combine discrete-event simulation and system dynamics.

[1]  Andrew M. Tobias,et al.  Discrete quantity approach to continuous simulation modelling , 2000, J. Oper. Res. Soc..

[2]  Dean C. Chatfield,et al.  Returns and the bullwhip effect , 2013 .

[3]  Jan Voracek,et al.  Value of information in health services market , 2012 .

[4]  Liming Zhu,et al.  Hybrid Modeling of Test-and-Fix Processes in Incremental Development , 2008, ICSP.

[5]  Otto K. Ferstl,et al.  Modeling of Business Systems using Hybrid Simulation: A New Approach , 2010, ECIS.

[6]  Omer Tsimhoni,et al.  Integrating agent based modeling into a discrete event simulation , 2005, Proceedings of the Winter Simulation Conference, 2005..

[7]  Bozena Mielczarek,et al.  Modeling healthcare demand using a hybrid simulation approach , 2016, 2016 Winter Simulation Conference (WSC).

[8]  Peter Bazan,et al.  Hybrid simulation of renewable energy generation and storage grids , 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

[9]  Moonseo Park,et al.  Hybrid Simulation Framework for Immediate Facility Restoration Planning after a Catastrophic Disaster , 2016 .

[10]  Tillal Eldabi,et al.  Simulation in manufacturing and business: A review , 2010, Eur. J. Oper. Res..

[11]  Seungho Lee,et al.  Hybrid simulation and optimization-based capacity planner for integrated photovoltaic generation with storage units , 2009, Proceedings of the 2009 Winter Simulation Conference (WSC).

[12]  J Pollack,et al.  Multimethodology in series and parallel: strategic planning using hard and soft OR , 2009, J. Oper. Res. Soc..

[13]  Razman Mat Tahar,et al.  on Intelligent Manufacturing and Automation , DAAAM 2014 A hybrid Simulation model for Green Logistics Assessment in Automotive Industry , 2015 .

[14]  Rui Carlos Botter,et al.  A conceptual comparison between discrete and continuous simulation to motivate the hybrid simulation methodology , 2011, Proceedings of the 2011 Winter Simulation Conference (WSC).

[15]  David M. Profozich,et al.  Arena software tutorial , 1996, Winter Simulation Conference.

[16]  Young-Jun Son,et al.  Distributed and hybrid simulations for manufacturing systems and integrated enterprise , 2004 .

[17]  Thomas C. Schelling,et al.  Dynamic models of segregation , 1971 .

[18]  Yang Miang Goh,et al.  A hybrid simulation approach for integrating safety behavior into construction planning: An earthmoving case study. , 2016, Accident; analysis and prevention.

[19]  Peter Bennett,et al.  On Linking Approaches to Decision-Aiding: Issues and Prospects , 1985 .

[20]  Simaan M. AbouRizk,et al.  A hybrid simulation approach for quantitatively analyzing the impact of facility size on construction projects , 2015 .

[21]  Thomas Spengler,et al.  A Hybrid Simulation Approach for Estimating the Market Share Evolution of Electric Vehicles , 2014, Transp. Sci..

[22]  Stefan Pickl,et al.  A Human Resource Model for Performance Optimization to Gain Competitive Advantage , 2013, OR.

[23]  Albert T. Jones,et al.  Supply chain and hybrid simulation in the hierarchical enterprise , 2015, Int. J. Comput. Integr. Manuf..

[24]  Reinhard German,et al.  A hybrid simulation model for large-scaled electricity generation systems , 2013, 2013 Winter Simulations Conference (WSC).

[25]  M. Mansouri,et al.  Using hybrid modeling to simulate Maritime Transportation System of Systems (MTSoS) , 2012, 2012 IEEE International Systems Conference SysCon 2012.

[26]  Gary E. Horne,et al.  Simulation environment to assess technology insertion impact and optimized manning , 2005, Proceedings of the Winter Simulation Conference, 2005..

[27]  S. Brailsford,et al.  Treating ailing emergency departments with simulation: an integrated perspective , 2003 .

[28]  Feniosky Peña-Mora,et al.  Strategic-Operational Construction Management: Hybrid System Dynamics and Discrete Event Approach , 2008 .

[29]  Christos Makropoulos,et al.  A hybrid artificial intelligence modelling framework for the simulation of the complete, socio-technical, urban water system , 2012 .

[30]  Shigeki Umeda Supply-chain Simulation Integrated Discrete-event Modeling with System-Dynamics Modeling , 2007, APMS.

[31]  Martin Kunc,et al.  Behavioral operational research theory, methodology and practice , 2016 .

[32]  Uri Wilensky,et al.  NetLogo: A simple environment for modeling complexity , 2014 .

[33]  Leonid Churilov,et al.  Discrete-event simulation and system dynamics for management decision making , 2014 .

[34]  Uwe Aickelin,et al.  Towards the development of a simulator for investigating the impact of people management practices on retail performance , 2010, J. Simulation.

[35]  Wen Wang,et al.  Hybrid Modeling and Simulation of Automotive Supply Chain Network , 2013 .

[36]  Felix Breitenecker,et al.  Exploring the Advantages of Multi-Method Modelling in the Use Case of a Large Socio-Technical Infrastructure System: The Airport City , 2016, Simul. Notes Eur..

[37]  Gudrun Wallentin,et al.  Dynamic hybrid modelling: Switching between AB and SD designs of a predator-prey model , 2017 .

[38]  A Emre Varol,et al.  Simulating prevention operations at sea against maritime piracy , 2015, J. Oper. Res. Soc..

[39]  Fang Zhang,et al.  A simulation modeling framework for supply chain system analysis , 2010, Proceedings of the 2010 Winter Simulation Conference.

[40]  J. George Shanthikumar,et al.  A Unifying View of Hybrid Simulation/Analytic Models and Modeling , 1983, Oper. Res..

[41]  Raimo P. Hämäläinen,et al.  Behavioural operational research: Returning to the roots of the OR profession , 2016, Eur. J. Oper. Res..

[42]  Reinhard German,et al.  Technology foresight for medical device development through hybrid simulation: The ProHTA Project , 2015 .

[43]  Tarek Zayed,et al.  A HYBRID FRAMEWORK FOR MODELING CONSTRUCTION OPERATIONS USING DISCRETE EVENT SIMULATION AND SYSTEM DYNAMICS , 2012 .

[44]  Alison McKay,et al.  Sustainability in the Malaysian palm oil industry , 2014 .

[45]  Dong Xu,et al.  A Hybrid Simulation-based Duopoly Game Framework for Analysis of Supply Chain and Marketing Activities , 2020, ArXiv.

[46]  Jayendran Venkateswaran,et al.  Production and Distribution Planning for Dynamic supply Chains using Multi-Resolution Hybrid Models , 2005 .

[47]  Miquel Angel Piera Eroles,et al.  Multi-level Architecture on Web Services Based Policy Domain Use Cases Simulator , 2013, EOMAS@CAiSE.

[48]  Bochao Wang,et al.  Hybrid modeling and simulation for complementing Lifecycle Assessment , 2014, Comput. Ind. Eng..

[49]  Kazuyuki Moriya,et al.  Impact of the topology of metapopulations on the resurgence of epidemics rendered by a new multiscale hybrid modeling approach , 2011, Ecological Informatics.

[50]  Mehrdad Arashpour,et al.  Hybrid simulation modeling of hoist down-peak operations in construction sites , 2016 .

[51]  Thomas Spengler,et al.  Integrating Agent-based Simulation and System Dynamics to support product strategy decisions in the automotive industry , 2009, Proceedings of the 2009 Winter Simulation Conference (WSC).

[52]  Tillal Eldabi,et al.  Developing integrated patient pathways using hybrid simulation , 2016 .

[53]  Simaan M. AbouRizk,et al.  Modeling Framework and Architecture of Hybrid System Dynamics and Discrete Event Simulation for Construction , 2011, Comput. Aided Civ. Infrastructure Eng..

[54]  Ken R. McNaught,et al.  Design classes for hybrid simulations involving agent-based and system dynamics models , 2012, Simul. Model. Pract. Theory.

[55]  Dagmar Haase,et al.  Actors and factors in land-use simulation: The challenge of urban shrinkage , 2012, Environ. Model. Softw..

[56]  Bhakti S. S. Onggo Elements of a hybrid simulation model: A case study of the blood supply chain in low- and middle-income countries , 2014, Proceedings of the Winter Simulation Conference 2014.

[57]  Robert G. Sargent,et al.  Verification and validation of simulation models , 2013, Proceedings of Winter Simulation Conference.

[58]  Simaan M. AbouRizk,et al.  Meaningful Level of Change in hybrid simulation for construction analysis , 2009, Proceedings of the 2009 Winter Simulation Conference (WSC).

[59]  Joachim Block,et al.  A hybrid modeling approach for incorporating behavioral issues into workforce planning , 2016, 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[60]  Elizabeth T. Whitaker,et al.  Model Docking Using Knowledge-Level Analysis , 2011, SBP.

[61]  Simaan M. AbouRizk,et al.  Dynamics of workforce skill evolution in construction projects1This paper is one of a selection of papers in this Special Issue on Construction Engineering and Management. , 2012 .

[62]  Bochao Wang,et al.  Hybrid modeling and simulation for innovation deployment strategies , 2013, Ind. Manag. Data Syst..

[63]  J. Forrester Industrial Dynamics , 1997 .

[64]  Navonil Mustafee,et al.  An investigation of Hybrid Simulation for modeling sustainability in healthcare , 2015, 2015 Winter Simulation Conference (WSC).

[65]  Vitaliy Bystrov,et al.  The Information Technology of Multi-model Forecasting of the Regional Comprehensive Security , 2016, CSOC.

[66]  John Mingers,et al.  Multimethodology: Towards a framework for mixing methodologies , 1997 .

[67]  SangHyun Lee,et al.  Integrating Construction Operation and Context in Large-Scale Construction Using Hybrid Computer Simulation , 2009 .

[68]  Siegfried Vössner,et al.  Managing strategy and production through hybrid simulation , 2013, Ind. Manag. Data Syst..

[69]  Tarek Zayed,et al.  Dynamic Planning of Construction Activities Using Hybrid Simulation , 2013 .

[70]  Hamidreza Eskandari,et al.  Supporting simulation-based decision making with the use of AHP analysis , 2005, Proceedings of the Winter Simulation Conference, 2005..

[71]  C Swinerd,et al.  Simulating the diffusion of technological innovation with an integrated hybrid agent-based system dynamics model , 2014, J. Simulation.

[72]  Wayne W. Wakeland,et al.  Using design of experiments, sensitivity analysis, and hybrid simulation to evaluate changes to a software development process: a case study , 2004, Softw. Process. Improv. Pract..

[73]  Caroline C. Krejci,et al.  Using hybrid simulation modeling to assess the dynamics of compassion fatigue in veterinarian general practitioners , 2016, 2016 Winter Simulation Conference (WSC).

[74]  Yuan Tian,et al.  Discrete choice, agent based and system dynamics simulation of health profession career paths , 2014, Proceedings of the Winter Simulation Conference 2014.

[75]  Martin Pitt,et al.  An analysis of the academic literature on simulation and modelling in health care , 2009, J. Simulation.

[76]  Kirandeep Chahal,et al.  Understanding the impact of whiteboard on A & E department operations using hybrid simulation , 2009 .

[77]  Feniosky Peña-Mora,et al.  Hybrid System Dynamics and Discrete Event Simulation for Construction Management , 2007 .

[78]  Valerie Belton,et al.  A toolkit of designs for mixing Discrete Event Simulation and System Dynamics , 2017, Eur. J. Oper. Res..

[79]  Mario Marin,et al.  Supply chain and hybrid modeling: The Panama Canal operations and its salinity diffusion , 2010, Proceedings of the 2010 Winter Simulation Conference.

[80]  Hazhir Rahmandad,et al.  Analytical Methods for Dynamic Modelers , 2015 .

[81]  Hlynur Stefansson,et al.  Integrated Agent-based and System Dynamics Modelling for Simulation of Sustainable Mobility , 2013 .

[82]  Michael Lieder,et al.  Multi-method simulation based tool to evaluate economic and environmental performance of circular product systems , 2016 .

[83]  Sally C. Brailsford,et al.  A comparison of discrete event simulation and system dynamics for modelling health care systems , 2001 .

[84]  Sally C. Brailsford,et al.  A multi-paradigm, whole system view of health and social care for age-related macular degeneration , 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

[85]  Michael Freitag,et al.  Planning of Maintenance Resources for the Service of Offshore Wind Turbines by Means of Simulation , 2016, LDIC.

[86]  Noemi Zabaleta,et al.  DECISION MAKING THROUGH SIMULATION IN PUBLIC POLICY MANAGEMENT FIELD , 2016 .

[87]  Yongtae Park,et al.  A dynamic feasibility analysis of public investment projects: An integrated approach using system dynamics and agent-based modeling , 2015 .

[88]  Stewart Robinson,et al.  Comparing model development in Discrete Event Simulation and System Dynamics , 2009, Proceedings of the 2009 Winter Simulation Conference (WSC).

[89]  Jayantha P. Liyanage,et al.  Decision Support for Operations and Maintenance of Offshore Wind Parks , 2015 .

[90]  Andrei Borshchev,et al.  Multi‐method modelling: AnyLogic , 2014 .

[91]  Asli Soyler Akbas Agent-Based and System Dynamics Hybrid Modeling and Simulation Approach Using Systems Modeling Language , 2015 .

[92]  Wai Kin Chan,et al.  On the modelling of transportation evacuation: an agent-based discrete-event hybrid-space approach , 2014, J. Simulation.

[93]  David Raffo,et al.  Application of a hybrid process simulation model to a software development project , 2001, J. Syst. Softw..

[94]  Navonil Mustafee,et al.  Investigating execution strategies for hybrid models developed using multiple M&S methodologies , 2015, SpringSim.

[95]  Andreas Tolk,et al.  Purpose and benefits of hybrid simulation: Contributing to the convergence of its definition , 2017, 2017 Winter Simulation Conference (WSC).

[96]  Wen-li Wang,et al.  Simulation of Supply Chain Network Based on Discrete-continuous Combined Modeling , 2010, 2010 International Conference on Computational Aspects of Social Networks.

[97]  Albert T. Jones,et al.  A methodology for Integrating and Synchronizing the System Dynamics and Discrete Event Simulation Paradigms , 2007 .

[98]  Wai Kin Chan,et al.  Agent-based discrete-event hybrid space modeling approach for transportation evacuation simulation , 2011, Proceedings of the 2011 Winter Simulation Conference (WSC).

[99]  Wang Wen-li,et al.  The Impact of Transportation Disruption on Adaptive Supply Chain: A Hybrid Simulation Study , 2007, 2007 International Conference on Management Science and Engineering.

[100]  J. Venkateswaran,et al.  Hybrid system dynamic—discrete event simulation-based architecture for hierarchical production planning , 2005 .

[101]  Farnad Nasirzadeh,et al.  A hybrid SD–DES simulation approach to model construction projects , 2015 .

[102]  José A. Sepúlveda,et al.  Hybrid simulation decision support system for university management , 2013, 2013 Winter Simulations Conference (WSC).

[103]  Norazura Ahmad,et al.  Modeling Emergency Department Using a Hybrid Simulation Approach , 2013 .

[104]  Reinhard German,et al.  Hybrid simulation with loosely coupled system dynamics and agent-based models for Prospective Health Technology Assessments , 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

[105]  Feniosky Peña-Mora,et al.  Comparative Study of Discrete-Event Simulation and System Dynamics for Construction Process Planning , 2005 .

[106]  Lorraine Whitmarsh,et al.  Modelling Socio-Technical Transition Patterns and Pathways , 2008, J. Artif. Soc. Soc. Simul..

[107]  RJ Ormerod,et al.  The history and ideas of critical rationalism: the philosophy of Karl Popper and its implications for OR , 2009, J. Oper. Res. Soc..

[108]  Jack P. C. Kleijnen,et al.  EUROPEAN JOURNAL OF OPERATIONAL , 1992 .

[109]  Ken R. McNaught,et al.  Comparing a simulation model with various analytic models of the international diffusion of consumer technology , 2015 .

[110]  David Bell,et al.  Designing effective hybridization for whole system modeling and simulation in healthcare , 2016, 2016 Winter Simulation Conference (WSC).

[111]  Albert T. Jones,et al.  Enterprise simulation: a hybrid system approach , 2005, Int. J. Comput. Integr. Manuf..

[112]  Tobias Reggelin,et al.  A mesoscopic approach to modeling and simulation of logistics processes , 2011, Proceedings of the 2011 Winter Simulation Conference (WSC).

[113]  Amr B. Eltawil,et al.  A Discrete-Event and Agent-Based Hybrid Simulation Approach for Healthcare Systems Modeling and Analysis , 2015 .

[114]  Yi Liu,et al.  A message-driving formalism for modeling and simulation of multi-agent supply chain systems , 2011 .

[115]  Martin H. Kunc,et al.  Teaching system dynamics and discrete event simulation together: a case study , 2018, J. Oper. Res. Soc..

[116]  Andreas Tolk,et al.  Panel — Reproducible research in discrete event simulation — A must or rather a maybe? , 2016, 2016 Winter Simulation Conference (WSC).

[117]  Wei Zhou,et al.  Hybrid model of multi-agent and DEDS for steelmaking-continuous casting-hot rolling manufacturing process simulation , 2014, The 26th Chinese Control and Decision Conference (2014 CCDC).

[118]  Anatoli Djanatliev,et al.  Hospital processes within an integrated system view: A hybrid simulation approach , 2016, 2016 Winter Simulation Conference (WSC).

[119]  Sveinn Margeirsson,et al.  Assessing the Impact of Policy Changes in the Icelandic Cod Fishery Using a Hybrid Simulation Model , 2014, SIMULTECH.

[120]  Reinhard German,et al.  Modeling and simulation of electricity generated by renewable energy sources for complex energy systems , 2014, SpringSim.

[121]  José Arnaldo Barra Montevechi,et al.  Hybrid simulation of production process of Pupunha palm , 2015, 2015 Winter Simulation Conference (WSC).

[122]  Nurcin Celik,et al.  Hybrid agent-based simulation for policy evaluation of solar power generation systems , 2011, Simul. Model. Pract. Theory.

[123]  Sally C. Brailsford,et al.  Towards the holy grail: Combining system dynamics and discrete-event simulation in healthcare , 2010, Proceedings of the 2010 Winter Simulation Conference.

[124]  Dragan Milicevic,et al.  Analytical Support for Integrated Water Resources Management: A New Method for Addressing Spatial and Temporal Variability , 2012, Water Resources Management.

[125]  Valerie Belton,et al.  Designs for the complementary use of System Dynamics and Discrete-Event Simulation , 2011, Proceedings of the 2011 Winter Simulation Conference (WSC).

[126]  Shaowen Qin,et al.  Patient flow simulation modelling - an approach conducive to multi-disciplinary collaboration towards hospital capacity management , 2013 .

[127]  Weiming Shen,et al.  Implementing a hybrid simulation model for a Kanban-based material handling system , 2008 .

[128]  Larry J. Shuman,et al.  Agent-based discrete event simulation modeling and evolutionary real-time decision making for large-scale systems , 2008 .

[129]  Eun Suk Suh,et al.  Cross-docking assessment and optimization using multi-agent co-simulation: a case study , 2015 .

[130]  Peter B. Lakey,et al.  A Hybrid Software Process Simulation Model for Project Management , 2003 .

[131]  Dong Xu,et al.  A service-oriented simulation integration platform for hierarchical manufacturing planning and control , 2016 .

[132]  Tillal Eldabi,et al.  Hybrid simulation for modelling large systems: An example of integrated care model , 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

[133]  Reinhard German,et al.  Large scale healthcare modeling by hybrid simulation techniques using AnyLogic , 2013, SimuTools.

[134]  Nathaniel D. Osgood,et al.  A tripartite hybrid model architecture for investigating health and cost impacts and intervention tradeoffs for diabetic end-stage renal disease , 2014, Proceedings of the Winter Simulation Conference 2014.

[135]  Stewart Robinson,et al.  Conceptual modelling for simulation Part I: definition and requirements , 2008, J. Oper. Res. Soc..

[136]  S. N. Samy,et al.  A Framework for Modelling Reconfigurable Manufacturing Systems Using Hybridized Discrete-Event and Agent-based Simulation , 2015 .

[137]  Stewart Robinson,et al.  Comparing model development in discrete event simulation and system dynamics , 2009 .

[138]  Yuan Feng,et al.  A hybrid simulation approach to dynamic multi-skilled workforce planning of production line , 2014, Proceedings of the Winter Simulation Conference 2014.

[139]  Julie S. Ivy,et al.  Combined DES/SD model of breast cancer screening for older women, I: Natural-history simulation , 2015 .

[140]  Fang Zhang,et al.  Hybrid Modeling Approach for Supply-Chain Simulation , 2006, APMS.

[141]  Mauricio Sánchez-Silva,et al.  A dynamic principal-agent framework for modeling the performance of infrastructure , 2016, Eur. J. Oper. Res..

[142]  Albert T. Jones,et al.  Hierarchical production planning using a hybrid system dynamic-discrete event simulation architecture , 2004, Proceedings of the 2004 Winter Simulation Conference, 2004..

[143]  Caroline C. Krejci,et al.  A hybrid simulation model of inbound logistics operations in regional food supply systems , 2015, 2015 Winter Simulation Conference (WSC).

[144]  Reha Uzsoy,et al.  Investigating interventions for increasing colorectal cancer screening: Insights from a simulation model , 2013 .

[145]  Maria Grazia Gnoni,et al.  Assessing the Efficiency of a PSS Solution for Waste Collection: A Simulation Based Approach☆ , 2016 .

[146]  Daniel DeLaurentis,et al.  Ex-Ante Policy Analysis in Civil Infrastructure Systems , 2014, J. Comput. Civ. Eng..

[147]  Simon J. E. Taylor,et al.  A hybrid agent-based and Discrete Event Simulation approach for sustainable strategic planning and simulation analytics , 2014, Proceedings of the Winter Simulation Conference 2014.

[148]  Tillal Eldabi,et al.  Applicability of hybrid simulation to different modes of governance in UK healthcare , 2008, 2008 Winter Simulation Conference.

[149]  Simon J. E. Taylor,et al.  Developing a Distributed Agent-Based and DES Simulation Using poRTIco and Repast , 2013, 2013 IEEE/ACM 17th International Symposium on Distributed Simulation and Real Time Applications.

[150]  Richard E. West,et al.  Mendeley: Creating Communities of Scholarly Inquiry Through Research Collaboration , 2011 .

[151]  C. Macal,et al.  HYBRID SIMULATION IN HEALTHCARE: NEW CONCEPTS AND NEW TOOLS , 2015 .

[152]  Amineh Ghorbani,et al.  Modelling Environments in ABMS: A System Dynamics Approach , 2014, MABS.

[153]  Osama Moselhi,et al.  Methodology for synchronizing Discrete Event Simulation and System Dynamics models , 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

[154]  C. Macal,et al.  A Hybrid Simulation Model of Inbound Logistics Operations in Regional Food Supply Systems , 2017 .

[155]  Jun-yan Sun,et al.  Modelling and Simulation of the Supply Chain of Automobile Industry , 2016 .

[156]  Michael Jackson,et al.  Towards a System of Systems Methodologies , 1984 .

[157]  Navonil Mustafee,et al.  Applications of simulation within the healthcare context , 2010, J. Oper. Res. Soc..

[158]  Sally C. Brailsford,et al.  Hybrid simulation in healthcare: New concepts and new tools , 2015, 2015 Winter Simulation Conference (WSC).

[159]  Paul R. Harper,et al.  Combining discrete-event simulation and system dynamics in a healthcare setting: A composite model for Chlamydia infection , 2014, Eur. J. Oper. Res..

[160]  Hamidreza Eskandari,et al.  Value chain analysis using hybrid simulation and AHP , 2007 .

[161]  Ardalan Feili,et al.  A simulation testing and analysis of aggregate production planning strategies , 2013 .