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Formulating processing network models: Viability theory

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  • John W. Chinneck

Abstract

A processing network contains at least one processing node; such a node is constrained by fixed ratios of flow in it's terminals. Though fast solution algorithms are available, processing network models are difficult to formulate in the first place so that meaningful results are obtained. Until now, there have been no automated aids for use during the model‐building phase. This article develops the theory of model viability and presents the first such aid: an algorithm for the identification and localization of a class of errors which can occur during model formulation.

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  • John W. Chinneck, 1990. "Formulating processing network models: Viability theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 245-261, April.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:2:p:245-261
    DOI: 10.1002/1520-6750(199004)37:23.0.CO;2-D
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    References listed on IDEAS

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    1. Chou-Hong J. Chen & Michael Engquist, 1986. "A Primal Simplex Approach to Pure Processing Networks," Management Science, INFORMS, vol. 32(12), pages 1582-1598, December.
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    Cited by:

    1. Chinneck, J. W. & Moll, R. H. H., 1995. "Processing network models for forest management," Omega, Elsevier, vol. 23(5), pages 499-510, October.
    2. John W. Chinneck, 1992. "Viability analysis: A formulation aid for all classes of network models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(4), pages 531-543, June.

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    1. Chinneck, J. W. & Moll, R. H. H., 1995. "Processing network models for forest management," Omega, Elsevier, vol. 23(5), pages 499-510, October.
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    3. John W. Chinneck, 1992. "Viability analysis: A formulation aid for all classes of network models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(4), pages 531-543, June.

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