Rea Press null Rea Pressxxxx-xxxxxxxx-xxxx Rea Press https://doi.org/10.48314/anowa.v1i1.54 Research Article Single-period set covering location problem, Multi-period set covering location problem, Uncertainty, Robust optimization Multi and Single-Period Uncertain Set Covering Location Problems with Robust Optimization ApproachMulti and Single-Period Uncertain Set Covering Location Problems with Robust Optimization Approach Rezvani Samaneh Department of Science in Optimization, University of Bojnord, Iran. Moeen Moghadas Foroogh Department of Applied Mathematics, University of Bojnord, Iran. Dadi Zohreh Department of Applied Mathematics, University of Bojnord, Iran. 03 2025 28 03 2025 1 1 © 2025 Rea Press 2025

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 Multi and Single-Period Uncertain Set Covering Location Problems with Robust Optimization Approach

In recent years, covering location problems, owing to their numerous applications, have attracted significant attention. Since to the presence of uncertainty in real world data, in this paper a Single-Period Set Covering Location Problem (SPSCLP) as well as a Multi-Period Set Covering Location Problem (MPSCLP) under uncertainty in fixed establishment cost parameter are discussed by robust optimization approach. Various robust optimization approaches such as box approach, ellipsoidal approach and conservatism by adjustment approach are developed to this end. The robust counterparts of SPSCLP and MPSCLP are presented and then OR-Library dataset are used to analyze the models.

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