The multi-color Travelling Salesman Problem
J. J. Salazar González, E. Tresoldi, R. Wolfer Calvo
The Overnight Security Service Problem is motivated by a real-world application consisting in optimizing the routes of a fleet of guards that should check a set of buildings in a urban area for security reasons. This paper describes several mathematical formulations and analyses the relation to another problem known in the literature as the multi-color Travelling Salesman Problem. This other problem is of academic nature and can be seen as the Overnight Security Service problem with one guard, no depot, and identical time cost for all roads. It is a variant of the classical Travelling Salesman Problem where each point has a color, and the goal is to find a Minimum Cost Hamiltonian Cycle bounding the number of other visits between consecutive points with the same color. Since the formulations involve an exponential number of constraints, we describe constraint-generation procedures to be used within a Branch-and-Cut framework. We discuss computational results on real-world instances.
Keywords: Travelling Salesman Problem, Branch and Cut, Multistar inequalities
Scheduled
GT10 Transport II
June 7, 2022 3:30 PM
A15
Other papers in the same session
P. Segura Martínez, J. Campbell, Á. Corberán, I. Plana, J. M. Sanchis
E. Fernández Aréizaga, M. Muñoz Márquez
D. Canca Ortiz, A. De Los Santos Pineda, A. Zarzo Altarejos
A. Serrano Hernandez, A. Ballano, L. Cadarso, J. Faulin
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6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
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5/27/22
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5/23/22
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5/16/22
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