Exact solution approaches for the directed bi-objective chinese postman problem

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2018-06-01

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Eroglu, Ezgi
Azizoğlu, Meral

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In this study, we consider a directed bi-objective Chinese Postman Problem with two additive objectives (like total cost and total distance) and propose two solution approaches to generate all non-dominated objective vectors. The first approach, namely classical approach, uses the optimal solutions of the mixed integer linear programs and generates the non-dominated objective vectors’ set sequentially. The second approach, namely branch and bound algorithm takes its spirit from the optimal solutions of the linear programming relaxations and generates the non-dominated objective vectors’ set simultaneously. The results of our extensive computational study show that our approaches are capable of solving large-sized problem instances in reasonable times.

Subject Keywords

Bi-objective programming, Chinese postman problem, Mixed integer linear programming, Classical approach, Branch and bound algorithm, İki-objektifli programlama, Çinli postacı problemi, Karmaşık tam sayılı doğrusal programlama, Klasik yaklaşım, Dal ve sınır algoritması

URI

https://hdl.handle.net/11511/83903
https://dergipark.org.tr/en/pub/endustrimuhendisligi/issue/46685/583931

Journal

Endüstri Mühendisliği

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Department of Industrial Engineering, Article

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Citation Formats

E. Eroglu and M. Azizoğlu, “Exact solution approaches for the directed bi-objective chinese postman problem,” Endüstri Mühendisliği, pp. 15–30, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/83903.