2022
DOI: 10.36227/techrxiv.16866895.v2
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Toward unraveling multi-objective optimization problems: A hybrid approach for solving a novel facility location problem

Abstract: <p>The focus of this paper is to provide an authentic approach to solving bi-objective optimization problems. The target problem is a novel extension of a multi-period $p$-mobile hub location problem, which takes into account the impact of the traveling time at the hubs' network, the time spent at each hub for processing the flows, and the delay caused by congestion at hubs with specific capacities. We first develop a mixed-integer mathematical model corresponding to the context problem. Afterward, a hyb… Show more

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Cited by 3 publications
(3 citation statements)
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“…Multi-objective optimisation problems have been implemented in distribution networks for planning purposes, for example, to increase the line's capacity [26], for solving facility location problems [27] and also for redispatch strategies of renewable energy under extreme conditions [28]. Different types of multi-objective approaches have also been applied for solving the demand response strategy [29] and for integrating grid-connected networks [30], in which they apply master-slave methodologies.…”
Section: Related Workmentioning
confidence: 99%
“…Multi-objective optimisation problems have been implemented in distribution networks for planning purposes, for example, to increase the line's capacity [26], for solving facility location problems [27] and also for redispatch strategies of renewable energy under extreme conditions [28]. Different types of multi-objective approaches have also been applied for solving the demand response strategy [29] and for integrating grid-connected networks [30], in which they apply master-slave methodologies.…”
Section: Related Workmentioning
confidence: 99%
“…x ij * {0, 1} "(i, j) * I all (6) Constraints ( 3)-( 5) guarantee that if i and j are in the same community and j and k are in the same community, then so are i and k. We refer to the relaxation of (IP-M), obtained by replacing the constraints…”
Section: A Topology Extractionmentioning
confidence: 99%
“…Detecting communities has become one of the fundamental subjects in the field of network analysis and graph theory and has numerous applications in a wide range of areas, including the analysis of Social/Biological/Cosmological networks [1], [2], [3], [4] and WEB [5]. It also plays a crucial role in the domain of Network Design problems [6], Signal Processing [7], Image Segmentation [8], Pattern Recognition [9], and Data Mining [10].…”
Section: Introductionmentioning
confidence: 99%