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

Seyed Ahmad Hosseini ()
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Seyed Ahmad Hosseini: Sabanci University

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 2, No 10, 486-512

Abstract: 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.

Keywords: Optimization; Process systems engineering; Linear programming; Decomposition methods; Production planning (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0183-6

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