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Research Article | Open Access

Data-driven two-stage fuzzy random mixed integer optimization model for facility location problems under uncertain environment

Zhimin Liu1( )Ripeng Huang2Songtao Shao3
School of Mathematics Science, Liaocheng University, Shandong, China
School of Mathematics and Finance, Chuzhou University, Chuzhou, China
Shaanxi University of Science and Technology, Xian, China
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Abstract

This paper studies the problem of facility location in a hybrid uncertain environment with both randomness and fuzziness. We establish a data-driven two-stage fuzzy random mixed integer optimization model, by considering the uncertainty of transportation cost and customer demand. Given the complexity of the model, this paper based on particle swarm optimization (PSO), beetle antenna search algorithm (BAS) and interior point algorithm, a hybrid intelligent algorithm (HIA) is proposed to solve two-stage fuzzy random mixed integer optimization model, yielding the optimal facility location and maximal expected return of supply chain simultaneously. Finally, taking the supply chain of medical mask in Shanghai as an example, the influence of uncertainty on the location of processing factory was studied. We compare the HIA with hybrid PSO and hybrid genetic algorithm (GA), to validate the proposed algorithm based on the computational time and the convergence rate.

CLC number: 90B06, 90C90

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AIMS Mathematics
Pages 13292-13312

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Cite this article:
Liu Z, Huang R, Shao S. Data-driven two-stage fuzzy random mixed integer optimization model for facility location problems under uncertain environment. AIMS Mathematics, 2022, 7(7): 13292-13312. https://doi.org/10.3934/math.2022734

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Received: 27 December 2021
Revised: 26 April 2022
Accepted: 10 May 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)