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Reliability considerations for process network synthesis problems

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  • Csaba Holló

    (University of Szeged)

Abstract

A manufacturing system consists of operating units which convert their input materials into their output materials. In the problem of designing a process network, we have to find a suitable network of operating units which produces the desired products from the given raw materials. If we consider this process network design problem from a structural point of view, then minimizing the cost of the network leads to an NP-complete combinatorial optimization problem called Process Network Synthesis or PNS problem. In this paper we define an extension of the PNS problem, where probability of failure, operating time and repair time are assigned to the operating units, and some costs are assigned to the system. We provide algorithms that determine the probability of system failure, the operating units which should be used, and the scheduling of the reparation of operating units in order to obtain expected optimal operation of the system.

Suggested Citation

  • Csaba Holló, 2013. "Reliability considerations for process network synthesis problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 887-899, December.
    • Handle: RePEc:spr:cejnor:v:21:y:2013:i:4:d:10.1007_s10100-013-0329-0
    DOI: 10.1007/s10100-013-0329-0
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    References listed on IDEAS

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    1. Holló, C., 2000. "A look ahead branch-and-bound procedure for solving PNS problems," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 11(2), pages 265-279.
    2. Holló, C., 2002. "A procedure based on automaton theory approach for solving modified PNS problems," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 13(1-2), pages 159-169.
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