Minimum-cost multiple paths subject to minimum link and node sharing in a network
In communication networks, multiple disjoint communication paths are desirable for many applications. Such paths, however, may not exist in a network. In such a situation, paths with minimum link and/or node sharing may be considered. This paper addresses the following two related fundamental questions. First, in case of no solution of disjoint multiple paths for a given application instance, what are the criteria for finding the best solution in which paths share nodes and/or links? Second, if we know the criteria, how do we find the best solution? We propose a general framework for the answers to these two questions. This framework can be configured in a way that is suitable for a given application instance. We introduce the notion of link shareability and node shareability and consider the problem of finding minimum-cost multiple paths subject to minimum share abilities (MCMPMS problem). We identify 65 different link/node shareability constraints, each leading to a specific version of the MCMPMS problem. In a previously published technical report, we prove that all the 65 versions are mutually inequivalent. In this paper, we show that all these versions can be solved using a unified algorithmic approach that consists of two algorithm schemes, each of which can be used to generate polynomial-time algorithms for a set of versions of MCMPMS. We also discuss some extensions where our modeling framework and algorithm schemes are applicable.
Computer Engineering | Controls and Control Theory | Digital Communications and Networking | Electrical and Computer Engineering | Electrical and Electronics | Electronic Devices and Semiconductor Manufacturing | Other Computer Engineering | Systems and Communications
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Zheng, S. Q.,
Minimum-cost multiple paths subject to minimum link and node sharing in a network.
IEEE/ACM Transactions on Networking, 18