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October  2015, 11(4): 1375-1391. doi: 10.3934/jimo.2015.11.1375

## Optimal double-resource assignment for a distributed multistate network

 1 Department of Industrial Management, Tungnan University, New Taipei City, 222, Taiwan

Received  March 2014 Revised  October 2014 Published  March 2015

A distributed multistate network is a multistate network with the flows entering from multiple source nodes and exiting by multiple sink nodes. A multistate network is a network with its nodes and edges having multiple states (capacities) or failures. Such networks are different from the ones solved by the traditional methods in two aspects: the number of source/sink nodes is more than one, and the source nodes are also sink nodes. The optimal double-resource assignment problem for a distributed multistate network (ODRADMN) is to solve the optimal capacity assignment for nodes and edges in the network such that the total capacity requirement of the network is minimized while keeping the network still alive. Traditionally, multi-objective optimization methods are employed to solve such kind of problems. This paper proposes an elegant single-objective optimization method to solve the double-resource optimization problem in terms of network reliability. Several numerical examples are demonstrated to explain the proposed method.
Citation: Shin-Guang Chen. Optimal double-resource assignment for a distributed multistate network. Journal of Industrial & Management Optimization, 2015, 11 (4) : 1375-1391. doi: 10.3934/jimo.2015.11.1375
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