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Dynamic Maximum Capacity Path Interdiction with Asymmetric Information: Strongly Polynomial-Time Algorithms | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 خرداد 1405 اصل مقاله (465.67 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.30488.2496 | ||
| نویسندگان | ||
| Masoud Aman1؛ Javad Tayyebi* 2؛ Abolfazl Abdolahzadeh1 | ||
| 1Department of Mathematics, Faculty of Science, University of Birjand, Iran | ||
| 2Department of Industrial Engineering, Faculty of Industrial and Computer Engineering, Birjand University of Technology, Birjand, Iran | ||
| چکیده | ||
| This paper introduces a novel non-cooperative game played on a capacitated network involving a defender and an attacker. The attacker seeks to maximize the capacity of a path from an origin to a destination, but operates under the constraint of limited network visibility, necessitating a greedy path selection strategy. Conversely, the fully informed defender aims to thwart the attacker's objective by strategically reducing arc capacities within a budgetary constraint. The game unfolds in multiple rounds, with the defender making capacity reduction decisions followed by the attacker's local path extension. This dynamic setting with asymmetric information characterizes the problem as the dynamic maximum capacity path interdiction problem. We present a strongly polynomial algorithm to solve this challenging game. Subsequently, an enhanced algorithm is developed to significantly improve computational efficiency. Extensive computational experiments validate the efficacy of both algorithms, demonstrating that the latter achieves approximately half the runtime of the former. | ||
| کلیدواژهها | ||
| interdiction problem؛ dynamic game؛ asymmetric information؛ maximum capacity path؛ polynomial-time algorithm | ||
| مراجع | ||
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