TY - GEN
T1 - An efficient algorithm for the evacuation problem in a certain class of a network with uniform path-lengths
AU - Kamiyama, Naoyuki
AU - Katoh, Naoki
AU - Takizawa, Atsushi
PY - 2007
Y1 - 2007
N2 - In this paper, we consider the evacuation problem for a network which consists of a directed graph with capacities and transit times on its arcs. This problem can be solved by the algorithm of Hoppe and Tardos [1] in polynomial time. However their running time is high-order polynomial, and hence is not practical in general. Thus it is necessary to devise a faster algorithm for a tractable and practically useful subclass of this problem. In this paper, we consider a dynamic network with a single sink s such that (i) for each vertex v the sum of transit times of arcs on any path from v to s takes the same value, and (ii) for each vertex v the minimum v-s cut is determined by the arcs incident to s whose tails are reachable from v. We propose an efficient algorithm for this network problem. This class of networks is a generalization of the grid network studied in the paper [2].
AB - In this paper, we consider the evacuation problem for a network which consists of a directed graph with capacities and transit times on its arcs. This problem can be solved by the algorithm of Hoppe and Tardos [1] in polynomial time. However their running time is high-order polynomial, and hence is not practical in general. Thus it is necessary to devise a faster algorithm for a tractable and practically useful subclass of this problem. In this paper, we consider a dynamic network with a single sink s such that (i) for each vertex v the sum of transit times of arcs on any path from v to s takes the same value, and (ii) for each vertex v the minimum v-s cut is determined by the arcs incident to s whose tails are reachable from v. We propose an efficient algorithm for this network problem. This class of networks is a generalization of the grid network studied in the paper [2].
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U2 - 10.1007/978-3-540-72870-2_17
DO - 10.1007/978-3-540-72870-2_17
M3 - Conference contribution
AN - SCOPUS:38149096205
SN - 9783540728689
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 178
EP - 190
BT - Algorithmic Aspects in Information and Management - Third International Conference, AAIM 2007, Proceedings
PB - Springer Verlag
T2 - 3rd International Conference on Algorithmic Aspects in Information and Management, AAIM 2007
Y2 - 6 June 2007 through 8 June 2007
ER -