A Polynomial-time Algorithm for Solving the Most Reliable Routing Interdiction Problem

Document Type : Original Article

Authors

1 Associate Professor, Birjand University of Technology, Birjand, Iran

2 Assistant Professor, Bozorgmehr Qaen University, Qaen, Iran

3 Assistant Professor, Imam Ali University, Tahzan, Iran

Abstract

This paper analyzes a specific type of optimization problem in the defense field, titled "The Most Reliable Path Interdiction Problem". This problem arises when an enemy can influence the routing strategies of friendly forces by creating natural or artificial obstacles. It is assumed that the enemy can reduce the reliability of key paths by altering the reliability of routes within budget constraints. In this paper, the costs of reducing the reliability of arcs are defined as a multiplicative function. This paper presents an efficient algorithm for solving the problem in polynomial time, providing military forces with the necessary tools to identify safer routes for the movement of troops and information in the face of sudden threats. To evaluate the performance of the algorithm, tests are conducted on randomly generated samples, and the results are reported. Additionally, a simulation example from the Iraq-Kuwait war is provided to illustrate the algorithm's implementation details. The results of this paper indicate that reliability optimization approaches can enhance the effectiveness and efficiency of military operations in critical and high-stress situations

Keywords

Main Subjects



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