Corrected Formulations for the Traveling Car Renter Problem

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageEnglish
Title of host publicationLearning and Intelligent Optimization - 15th International Conference, LION 15, 2021, Revised Selected Papers
EditorsDimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages13
ISBN (Print)9783030921200
StatePublished - 2021
Event15th International Conference on Learning and Intelligent Optimization, LION 15 2021 - Virtual, Online
Duration: 20 Jun 202125 Jun 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12931 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference15th International Conference on Learning and Intelligent Optimization, LION 15 2021
CityVirtual, Online

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.


  • Mathematical programming
  • Optimization
  • Traveling car renter problem


Dive into the research topics of 'Corrected Formulations for the Traveling Car Renter Problem'. Together they form a unique fingerprint.

Cite this