The continuous maximum capacity path interdiction problem

Javad Tayyebi, Ankan Mitra and Jorge A. Sefair

European Journal of Operational Research, 2023, vol. 305, issue 1, 38-52

Abstract: This paper studies the continuous maximum capacity path interdiction problem, where two players, user and interdictor, compete in a capacitated network. The user wants to send the maximum possible amount of flow through a path, whose capacity is given by the minimum capacity among its arcs. The budget-constrained interdictor decreases arc capacities by any continuous amount to reduce the quality of the user’s chosen path. We present an efficient algorithm based on a discrete version of the Newton’s method, which helps us solve the problem in polynomial time. We also prove that the problem can be transformed into a zero-sum game, which has always a pure Nash equilibrium point. We demonstrate the performance of our algorithm over a set of randomly generated networks.

Keywords: Networks; Maximum capacity path; Network interdiction; Stackelberg games; Newton’s method; Interdiction games (search for similar items in EconPapers)
Date: 2023
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/S0377221722004027
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:305:y:2023:i:1:p:38-52

DOI: 10.1016/j.ejor.2022.05.028

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 ().