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A Model-Based Approach and Analysis for Multi-Period Networks

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  • Seyed Ahmad Hosseini

    (Sabanci University)

Abstract

The aim of this contribution is to address a general class of network problems, very common in process systems engineering, where spoilage on arcs and storage in nodes are inevitable as time changes. Having a set of capacities, so-called horizon capacity which limits the total flow passing arcs over all periods, the min-cost flow problem in the discrete-time model with time-varying network parameters is investigated. While assuming a possibility of storage or and spoilage, we propose some approaches employing polyhedrals to obtain optimal solutions for a pre-specified planning horizon. Our methods describe some reformulations based on polyhedrals that lead to LP problems comprising a set of sparse subproblems with exceptional structures. Considering the sparsity and repeating structure of the polyhedrals, algorithmic approaches based on decomposition techniques of block-angular and block-staircase cases are proposed to handle the global problem aiming to reduce the computational resources required.

Suggested Citation

  • Seyed Ahmad Hosseini, 2013. "A Model-Based Approach and Analysis for Multi-Period Networks," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 486-512, May.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:2:d:10.1007_s10957-012-0183-6
    DOI: 10.1007/s10957-012-0183-6
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    References listed on IDEAS

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