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Optimization and Simulation of Dynamic Performance of Production–Inventory Systems with Multivariable Controls

Author

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  • Huthaifa AL-Khazraji

    (Department of Control and System Engineering, University of Technology, Al-Wehda Neighborhood, Baghdad 10066, Iraq)

  • Colin Cole

    (School of Engineering and Technology, Central Queensland University, Bruce Highway, North Rockhampton, QLD 4702, Australia)

  • William Guo

    (School of Engineering and Technology, Central Queensland University, Bruce Highway, North Rockhampton, QLD 4702, Australia)

Abstract

The production–inventory system is a problem of multivariable input and multivariant output in mathematics. Selecting the best system control parameters is a crucial managerial decision to achieve and dynamically maintain an optimal performance in terms of balancing the order rate and stock level under dynamic influence of many factors affecting the system operations. The dynamic performance of the popular APIOBPCS model and the newly modified 2APIOBPCS model for optimal control of production–inventory systems is examined in the study. This examination is based on the leveled ground with a new simulation scheme that incorporates a designated multi-objective particle swarm optimization (MOPSO) algorithm into the simulation, which enables the optimal set of system control parameters to be selected for achieving the situational best possible performance of the production–inventory system under study. The dynamic performance is measured by the variance ratio between the order rate and the sales rate related to the bullwhip effect, and the integral of absolute error related to the inventory responsiveness in response to a random customer demand. Our simulation indicates that the 2APIOBPCS model performed better than or at least no worse than, and more robust than the APIOBPCS model under different conditions.

Suggested Citation

  • Huthaifa AL-Khazraji & Colin Cole & William Guo, 2021. "Optimization and Simulation of Dynamic Performance of Production–Inventory Systems with Multivariable Controls," Mathematics, MDPI, vol. 9(5), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:568-:d:512173
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    References listed on IDEAS

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