MULTIPLE-SINK SHORTEST PATH NETWORK INTERDICTION PROBLEM


AYYILDIZ E. , Özçelik G., Demirci E.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, vol.9, no.4, pp.395-403, 2018 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 4
  • Publication Date: 2018
  • Title of Journal : SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
  • Page Numbers: pp.395-403

Abstract

This paper defines and studies the multiple-sink shortest path problem (MS-NIP). The MS-NIP corresponds to many real-life problems relating to especially terrorist actions. In the MS-NIP, a network user seeks the shortest path to meet the demands of sink nodes while an interdictor aims to maximize the shortest path of a network user by interdicting the arc(s). In this study, we formulate exact mathematical models of the network user and interdictor for the MS-NIP and apply them on an illustrative example. We test the model depending on the different interdiction budget levels and discuss the obtained results.