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System Dynamics Models, Optimization of

Encyclopedia of Complexity and Systems Science

Definition of the Subject

The term “optimization” when related to system dynamics (SD) models has a special significance. It relates to the mechanism used to improve the model vis-à-vis a criterion. This collapses into two fundamentally different intentions. Firstly one may wish to improve the model in terms of its performance. For instance, it may be desired to minimize overall costs of inventory while still offering a satisfactory level of service to the downstream customer. So the criterion here is cost, and this would be minimized after searching the parameter space related to service level. The direction of need may be reversed, and maximization may be desired as, for instance, if one had a model of a firm and wished to maximize profit subject to an acceptable level of payroll and advertising costs. Here the parameter space being explored would involve both payroll and advertising parameters. This type of optimization might be described generically as policy optimization.

Optimizat...

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Abbreviations

Econometrics:

A statistical approach to economic modeling in which all the parameters in the structural equations are estimated according to a “best fit” to historical data.

Maximum likelihood:

A statistical concept which underpins calibration optimization and which generates the most likely parameter values; it is equivalent to the parameter set which minimizes the chi-square value.

Objective function:

See Payoff below.

Optimization:

The process of improving a model’s results in terms of either an aspect of its performance or by calibrating it to fit reported time series data.

Payoff:

A formula which expresses the objective, say, maximization of profits, minimization of costs, or minimization of the differences between a model variable and historical data on that variable.

Zero-one parameter:

A parameter which is used as a multiplier in a policy equation and serves the effect of bringing in or removing a particular influence in determining the optimal policy.

Bibliography

  • Coyle RG (1996) System dynamics modelling: a practical approach. Chapman & Hall, London

    Book  MATH  Google Scholar 

  • Dangerfield BC, Roberts CA (1994) Fitting a model of the spread of AIDS to data from five European countries. In: O.R. Work in HIV/AIDS, 2nd edn. Operational Research Society, Birmingham, pp 7–13

    Google Scholar 

  • Dangerfield BC, Roberts CA (1996a) An overview of strategy and tactics in system dynamics optimisation. J Oper Res Soc 47(3):405–423

    Article  Google Scholar 

  • Dangerfield BC, Roberts CA (1996b) Relating a transmission model of AIDS spread to data: some international comparisons. In: Isham V, Medley G (eds) Models for infectious human diseases: their structure and relation to data. Cambridge University Press, Cambridge, pp 473–476

    Chapter  Google Scholar 

  • Dangerfield BC, Roberts CA (1999) Optimisation as a statistical estimation tool: an example in estimating the AIDS treatment-free incubation period distribution. Syst Dyn Rev 15(3):273–291

    Article  Google Scholar 

  • Duggan J (2005) Using multiple objective optimisation to generate policy insights for system dynamics models. In: Proceedings of the international system dynamics conference, Boston. System Dynamics Society (CD-ROM)

    Google Scholar 

  • Duggan J (2008) Equation-based policy optimisation for agent-oriented system dynamics models. Syst Dyn Rev 24(1):97–118

    Article  Google Scholar 

  • Graham AK, Ariza CA (2003) Dynamic, hard and strategic questions: using optimisation to answer a marketing resource allocation question. Syst Dyn Rev 19(1):27–46

    Article  Google Scholar 

  • Keloharju R (1977) Multi-objective decision models in system dynamics. Dynamica 3(1):3–13, 3(2)45–55

    Google Scholar 

  • Keloharju R, Wolstenholme EF (1988) The basic concepts of system dynamics optimisation. Syst Pract 1:65–86

    Article  Google Scholar 

  • Keloharju R, Wolstenholme EF (1989) A case study in system dynamics optimisation. J Oper Res Soc 40(3):221–230

    Article  Google Scholar 

  • Meadows DM, Robinson JM (1985) The electronic oracle. Wiley, Chichester (Now available from the System Dynamics Society, Albany NY)

    Google Scholar 

  • Richardson GP, Pugh AL (1981) An introduction to system dynamics modelling with DYNAMO. MIT Press, Cambridge (Now available from Pegasus Communications, Waltham, MA)

    Google Scholar 

  • Wolstenholme EF, Al-Alusi AS (1987) System dynamics and heuristic optimisation in defence analysis. Syst Dyn Rev 3(2):102–115

    Article  Google Scholar 

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Dangerfield, B. (2013). System Dynamics Models, Optimization of. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, New York, NY. https://doi.org/10.1007/978-3-642-27737-5_542-4

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  • DOI: https://doi.org/10.1007/978-3-642-27737-5_542-4

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Chapter history

  1. Latest

    System Dynamics Models, Optimization of
    Published:
    09 April 2019

    DOI: https://doi.org/10.1007/978-3-642-27737-5_542-5

  2. Original

    System Dynamics Models, Optimization of
    Published:
    25 April 2014

    DOI: https://doi.org/10.1007/978-3-642-27737-5_542-4