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    Title: Reliability Evaluation of a Multicommodity Capacitated-Flow Network in Terms of Minimal Pathsets
    Authors: Lin, jsen-shung
    Keywords: Reliability;capacitated-flow network;d-MP
    Date: 2016
    Issue Date: 2017-02-13 16:09:46 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: Many real-world systems such as transportation systems, logistics/distribution systems, and manufacturing systems can be regarded as multicommodity flow networks whose arcs
    have independent, finite and multi-valued random capacities. Such a flow network is a
    multistate system with multistate components and its reliability for level d = (d1, d2, . . . , dk), i.e., the probability that k different types of commodity can be transmitted from the source node to the sink node in the way that the demand level d = (d1, d2, . . . , dk) is satisfied, can be computed in terms of minimal path vectors to level d (named d-MPs here). The main objective of this paper is to present a simple algorithm to generate all d-MPs of such a flow network for each level d = (d1, d2, . . . , dk) in terms of minimal pathsets. Three examples are given to illustrate how all d-MPs are generated by our algorithm and then the reliability of one example is computed.
    Relation: International Journal of Information and Management Sciences 27(3), pp.269-281
    DOI: 10.6186/IJIMS.2016.27.3.4
    Appears in Collections:[資訊與管理科學期刊] 第27卷第3期

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