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A new framework for simulation-based goal programming using retrospective optimization

delete2026-06-01
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PRE
AI
S
Shing Chih Tsai
H
Hao‐Chun Lu *
W
Wang Hong-gang
DOI:10.1016/j.ejor.2026.05.031delete
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Abstract

Abstract

En 中文
In this paper, we present a simulation-based goal programming framework to address stochastic optimization problems involving multiple performance measures. We specifically consider the weighted goal programming and min-max goal programming formulations, which are widely used in the field of goal programming. Due to the analytical intractability of the objective functions in this stochastic optimization model, traditional mathematical programming techniques cannot be readily applicable. To overcome this challenge, we propose using retrospective optimization algorithms, a type of simulation-optimization approach. To establish the validity of our method, we provide a convergence analysis of the proposed algorithms, demonstrating their ability to converge to a globally optimal solution under specific conditions. In addition to the theoretical development, we conduct numerical experiments using benchmark test functions and a stochastic inventory optimization problem to illustrate the effectiveness of our framework. The empirical results demonstrate that our approach performs competitively compared to existing benchmark solution methods.
Keywords:
Simulation
Goal programming
Retrospective optimization
Simulation-optimization

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

California State University System cover
California State University System
Scholars:
2.8W
Papers: 2.4W
Citations: 457
N
National Cheng Kung University
Scholars:
617
Papers: 233
Citations: 0
N
National Yang Ming Chiao Tung University
Scholars:
450
Papers: 176
Citations: 0
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