Corrected Formulations for the Traveling Car Renter Problem

Brenner Humberto Ojeda Rios; Junior Cupe Casquina; Hossmell Hernan Velasco Añasco; Alfredo Paz-Valderrama

doi:10.1007/978-3-030-92121-7_27

Corrected Formulations for the Traveling Car Renter Problem

Brenner Humberto Ojeda Rios, Junior Cupe Casquina, Hossmell Hernan Velasco Añasco, Alfredo Paz-Valderrama

Departamento Académico de Ingeniería de Sistemas e Informática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper presents two corrected formulations to the mixed integer quadratically constrained programming model of the Traveling Car Renter Problem (CaRS), proposed by da Silva and Ochi (2016, An efficient hybrid algorithm for the Traveling Car Renter Problem. Expert Systems with Applications, 64, 132–140). In the CaRS, various vehicle types are available for rent in the cities, each one with its own rental cost; when a car is returned to the city where it was rented, an additional tax must be charged, the objective is to construct a Hamiltonian circuit that minimizes the total cost of the circuit plus the return cost of cars. We highlight the original formulation errors, propose corrections to these errors, provide an analytical validation of the corrections, and present computational experiments using a MIP solver.

Original language	English
Title of host publication	Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers
Editors	Dimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	351-363
Number of pages	13
ISBN (Print)	9783030921200
DOIs	https://doi.org/10.1007/978-3-030-92121-7_27
State	Published - 2021
Event	15th International Conference on Learning and Intelligent Optimization, LION 15 2021 - Virtual, Online Duration: 20 Jun 2021 → 25 Jun 2021

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12931 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	15th International Conference on Learning and Intelligent Optimization, LION 15 2021
City	Virtual, Online
Period	20/06/21 → 25/06/21

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Keywords

Mathematical programming
Optimization
Traveling car renter problem

Access to Document

10.1007/978-3-030-92121-7_27

Cite this

Rios, B. H. O., Casquina, J. C., Añasco, H. H. V., & Paz-Valderrama, A. (2021). Corrected Formulations for the Traveling Car Renter Problem. In D. E. Simos, P. M. Pardalos, & I. S. Kotsireas (Eds.), Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers (pp. 351-363). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12931 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-92121-7_27

Rios, Brenner Humberto Ojeda ; Casquina, Junior Cupe ; Añasco, Hossmell Hernan Velasco et al. / Corrected Formulations for the Traveling Car Renter Problem. Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers. editor / Dimitris E. Simos ; Panos M. Pardalos ; Ilias S. Kotsireas. Springer Science and Business Media Deutschland GmbH, 2021. pp. 351-363 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Rios, BHO, Casquina, JC, Añasco, HHV & Paz-Valderrama, A 2021, Corrected Formulations for the Traveling Car Renter Problem. in DE Simos, PM Pardalos & IS Kotsireas (eds), Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12931 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 351-363, 15th International Conference on Learning and Intelligent Optimization, LION 15 2021, Virtual, Online, 20/06/21. https://doi.org/10.1007/978-3-030-92121-7_27

Corrected Formulations for the Traveling Car Renter Problem. / Rios, Brenner Humberto Ojeda; Casquina, Junior Cupe; Añasco, Hossmell Hernan Velasco et al.

Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers. ed. / Dimitris E. Simos; Panos M. Pardalos; Ilias S. Kotsireas. Springer Science and Business Media Deutschland GmbH, 2021. p. 351-363 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12931 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper presents two corrected formulations to the mixed integer quadratically constrained programming model of the Traveling Car Renter Problem (CaRS), proposed by da Silva and Ochi (2016, An efficient hybrid algorithm for the Traveling Car Renter Problem. Expert Systems with Applications, 64, 132–140). In the CaRS, various vehicle types are available for rent in the cities, each one with its own rental cost; when a car is returned to the city where it was rented, an additional tax must be charged, the objective is to construct a Hamiltonian circuit that minimizes the total cost of the circuit plus the return cost of cars. We highlight the original formulation errors, propose corrections to these errors, provide an analytical validation of the corrections, and present computational experiments using a MIP solver.

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Rios BHO, Casquina JC, Añasco HHV, Paz-Valderrama A. Corrected Formulations for the Traveling Car Renter Problem. In Simos DE, Pardalos PM, Kotsireas IS, editors, Learning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers. Springer Science and Business Media Deutschland GmbH. 2021. p. 351-363. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-92121-7_27