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.
|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|
|Number of pages||13|
|State||Published - 2021|
|Event||15th International Conference on Learning and Intelligent Optimization, LION 15 2021 - Virtual, Online|
Duration: 20 Jun 2021 → 25 Jun 2021
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Conference||15th International Conference on Learning and Intelligent Optimization, LION 15 2021|
|Period||20/06/21 → 25/06/21|
Bibliographical notePublisher Copyright:
© 2021, Springer Nature Switzerland AG.
- Mathematical programming
- Traveling car renter problem