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A Primal Simplex Approach to Pure Processing Networks

Author

Listed:
  • Chou-Hong J. Chen

    (School of Business Administration, Gonzaga University, Spokane, Washington 99258)

  • Michael Engquist

    (Department of General Business, College of Business Administration, University of Texas, Austin, Texas 78712)

Abstract

Pure processing network problems are minimum cost flow problems in which the flow entering or leaving a node may be constrained to do so in given proportions. In this paper, new theoretical results concerning pure processing networks are developed, and, based on these results, two new primal simplex variants are presented. One of these variants has been implemented and tested against a general purpose linear programming code. A large class of problems is identified for which the specialized code is an order of magnitude faster than the general purpose code.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:12:p:1582-1598
    DOI: 10.1287/mnsc.32.12.1582
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    Citations

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    Cited by:

    1. John W. Chinneck, 1990. "Formulating processing network models: Viability theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 245-261, April.
    2. Chinneck, J. W. & Moll, R. H. H., 1995. "Processing network models for forest management," Omega, Elsevier, vol. 23(5), pages 499-510, October.
    3. Michael Holzhauser & Sven O. Krumke & Clemens Thielen, 2017. "Maximum flows in generalized processing networks," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1226-1256, May.
    4. 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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