Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44387
Title: The minmax regret robust shortest path problem in a finite multi-scenario model
Authors: Pascoal, Marta 
Resende, Marisa 
Issue Date: 2014
Publisher: Elsevier
Serial title, monograph or event: Applied Mathematics and Computation
Volume: 241
Abstract: The robust shortest path problem is a network optimization problem that can be defined to deal with uncertainty of costs associated with the arcs of a network. Two models have been considered for the robust shortest path problem: interval data and discrete data sets. This work addresses the robust shortest path problem with a minmax regret objective function on a finite multi-scenario model. This problem consists in finding an optimal path in the sense that it has the minimum maximum deviation from the shortest one over all scenarios. With this goal some properties of the problem and of its optimal solutions are derived. These results allow to introduce three approaches, a labeling algorithm, an algorithm based on ranking loopless paths, and a hybrid algorithm which ranks loopless paths in a suitable way to apply the early elimination of useless solutions. The algorithms are tested on random networks and compared with a previous method for the same problem. The obtained computational results are reported and discussed. They show that the labeling and the hybrid approaches outperform the others.
URI: http://hdl.handle.net/10316/44387
DOI: 10.1016/j.amc.2014.04.076
10.1016/j.amc.2014.04.076
Rights: embargoedAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

Files in This Item:
File Description SizeFormat
2014PascoalResende.pdf612.55 kBAdobe PDFView/Open
Show full item record

SCOPUSTM   
Citations

7
checked on May 29, 2020

WEB OF SCIENCETM
Citations 10

8
checked on Oct 2, 2021

Page view(s)

189
checked on Oct 21, 2021

Download(s) 50

337
checked on Oct 21, 2021

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.