The bi-objective traveling purchaser problem with deliveries

Pamela Jocelyn Palomo Martinez, M. Angélica Salazar-Aguilar

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


In this work we introduce a variant of the well-known Traveling Purchaser Problem in which the purchased products must be delivered to a set of customers. The objective is to minimize the total cost (purchasing plus traveling costs) and the waiting time of the customers, simultaneously, while satisfying the total demand. This problem is called the bi-objective Traveling Purchaser Problem with Deliveries. In order to approximate Pareto fronts for this problem, a relinked variable neighborhood search is proposed and tested over a large set of artificial instances. Our results show that our algorithm is highly competitive compared to the ϵ-constraint method in small instances. On the other hand, experiments carried out over large instances show that our algorithm is able to find Pareto front approximations with more points in a shorter running time for uncapacitated instances than for capacitated ones. Also, computational results show that the performance of some local searches used in our algorithm depends on the characteristics of the instances, this underlines the importance of designing a metaheuristic based on multiple local searches.
Original languageEnglish
Pages (from-to)608-622
Number of pages15
JournalEuropean Journal of Operational Research
Issue number2
Publication statusPublished - Mar 2019
Externally publishedYes

Bibliographical note

Funding Information:
This work was supported by CONACYT through grant 289353 , Sofía Kovalevskaya foundation, and the Mexican Mathematical Society. This support is gratefully acknowledged.

Publisher Copyright:
© 2018 Elsevier B.V.

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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