Improved Beluga Whale Optimization for Solving the Simulation Optimization Problems with Stochastic Constraints

Shih-Cheng Horng () and Shieh-Shing Lin
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Shih-Cheng Horng: Department of Computer Science & Information Engineering, Chaoyang University of Technology, Taichung 413310, Taiwan
Shieh-Shing Lin: Department of Electrical Engineering, St. John’s University, New Taipei City 251303, Taiwan

Mathematics, 2023, vol. 11, issue 8, 1-17

Abstract: Simulation optimization problems with stochastic constraints are optimization problems with deterministic cost functions subject to stochastic constraints. Solving the considered problem by traditional optimization approaches is time-consuming if the search space is large. In this work, an approach integration of beluga whale optimization and ordinal optimization is presented to resolve the considered problem in a relatively short time frame. The proposed approach is composed of three levels: emulator, diversification, and intensification. Firstly, the polynomial chaos expansion is treated as an emulator to evaluate a design. Secondly, the improved beluga whale optimization is proposed to seek N candidates from the whole search space. Eventually, the advanced optimal computational effort allocation is adopted to determine a superior design from the N candidates. The proposed approach is utilized to seek the optimal number of service providers for minimizing staffing costs while delivering a specific level of care in emergency department healthcare. A practical example of an emergency department with six cases is used to verify the proposed approach. The CPU time consumes less than one minute for six cases, which demonstrates that the proposed approach can meet the requirement of real-time application. In addition, the proposed approach is compared to five heuristic methods. Empirical tests indicate the efficiency and robustness of the proposed approach.

Keywords: beluga whale optimization; ordinal optimization; polynomial chaos expansion; optimal computational effort allocation; emergency department healthcare; average waiting time (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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