Inverse of Backup 2-Median Problems with Variable Edge Lengths and Vertex Weight on Trees and Variable Coordinates on the Plane

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nazari morteza; FATHALI JAFAR; NAZARI MOSTAFA; VAREDI KOULAEI SEYED MOJTABA

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Journal: PRODUCTION AND OPERATIONS MANAGEMENT Year:2019 | Volume:9 | Issue:2 (17) Page(s): 115-137

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Information Journal Paper

Title

Inverse of Backup 2-Median Problems with Variable Edge Lengths and Vertex Weight on Trees and Variable Coordinates on the Plane

Author(s)

nazari morteza | FATHALI JAFAR | NAZARI MOSTAFA | VAREDI KOULAEI SEYED MOJTABA | Issue Writer Certificate

Keywords

Facility LocationQ1

Reverse OptimizationQ1

Backup 2-MedianQ1

Meta-HeuristicQ1

Abstract

In this paper we consider the inverse of Backup 2-Median problem. In this problem, a set of weighted points are given and we should change some parameters of the problem such as weights of vertices and edges and coordinates of points such that the two given points be the Backup 2-Median. We present mathematical models for inverse Backup 2-Median problems on graphs. In the case that the underlying network is a tree, linear models are presented for the problem with variable edges and weight of vertices. We also consider the continuous case of the problem with variable coordinates of vertices on the plane. In this case, we solve the model by PSO and a hybrid improved PSO methods. Computational results are compared for the varying amounts of parameters.

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APA: Copy

nazari, morteza, FATHALI, JAFAR, NAZARI, MOSTAFA, & VAREDI KOULAEI, SEYED MOJTABA. (2019). Inverse of Backup 2-Median Problems with Variable Edge Lengths and Vertex Weight on Trees and Variable Coordinates on the Plane. PRODUCTION AND OPERATIONS MANAGEMENT, 9(2 (17) ), 115-137. SID. https://sid.ir/paper/217560/en

Vancouver: Copy

nazari morteza, FATHALI JAFAR, NAZARI MOSTAFA, VAREDI KOULAEI SEYED MOJTABA. Inverse of Backup 2-Median Problems with Variable Edge Lengths and Vertex Weight on Trees and Variable Coordinates on the Plane. PRODUCTION AND OPERATIONS MANAGEMENT[Internet]. 2019;9(2 (17) ):115-137. Available from: https://sid.ir/paper/217560/en

IEEE: Copy

morteza nazari, JAFAR FATHALI, MOSTAFA NAZARI, and SEYED MOJTABA VAREDI KOULAEI, “Inverse of Backup 2-Median Problems with Variable Edge Lengths and Vertex Weight on Trees and Variable Coordinates on the Plane,” PRODUCTION AND OPERATIONS MANAGEMENT, vol. 9, no. 2 (17) , pp. 115–137, 2019, [Online]. Available: https://sid.ir/paper/217560/en

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