Minimax regret 1-sink location problem with accessibility in dynamic general networks

Hongmei Li and Yinfeng Xu

European Journal of Operational Research, 2016, vol. 250, issue 2, 360-366

Abstract: In this study, we consider the minimax regret 1-sink location problem with accessibility, where all of the weights should always evacuate to the nearest sink point along the shortest path in a dynamic general network with positive edge lengths and uniform edge capacity. Let G=(V,E) be an undirected connected simple graph with n vertices and m edges. Each vertex has a weight that is not known exactly but the interval to which it belongs is given. A particular assignment of a weight to each vertex is called a scenario. The problem requires that a point x should be found as the sink on the graph and all the weights evacuate to x such that the maximum regret for all possible scenarios is minimized. We present an O(m2n3) time algorithm to solve this problem.

Keywords: Accessibility; Algorithm; General network; Location; Minimax regret (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221715008462
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:250:y:2016:i:2:p:360-366

DOI: 10.1016/j.ejor.2015.09.022

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().