An algorithm for solving the bi-objective median path-shaped facility on a tree network

Abdallah W. Aboutahoun1,2, Fatma El-Safty3
1Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt
2Zewail City of Science and Technology, 6th of October City, Giza, Egypt
3Faculty of Science, Damanhour University, Damanhour, Egypt

Tóm tắt

Abstract

In this paper, an algorithm for the bi-objective median path (BMP) problem on a tree network is considered. The algorithm is based on the two-phase method which can compute all Pareto solutions for the BMP problem. The first phase is applied to find supported Pareto solutions by solving the uni-objective problem D(P,λ). The second phase is used to compute the unsupported Pareto solutions by applying a k-best algorithm which computes the k-best Pareto solutions in order of their objective values.

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