Optimal Algorithms for Inverse Eccentric Vertex Location Problem on Extended Star Networks

Mehran Hasanzadeh (), Behrooz Alizadeh, Esmaeil Afrashteh () and Fahimeh Baroughi ()
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Mehran Hasanzadeh: Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Behrooz Alizadeh: Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Esmaeil Afrashteh: Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Fahimeh Baroughi: Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran

Asia-Pacific Journal of Operational Research (APJOR), 2021, vol. 38, issue 04, 1-19

Abstract: This paper deals with the inverse eccentric vertex location problem on extended star networks in which the aim is to modify the edge lengths at the minimum overall cost within certain modification bounds so that a predetermined vertex becomes the farthest vertex from a given fixed vertex under the new edge lengths. Novel combinatorial algorithms with near-linear time complexities are developed for obtaining the optimal solution of the problem under different cost norms.

Keywords: Combinatorial optimization; inverse optimization; eccentric vertex location problem; time complexity (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0217595921500019

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