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An analysis of degeneracy

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  • Harvey J. Greenberg

Abstract

Degeneracy in linear programming models has been analyzed for its impacts on algorithmic properties. A complementary analysis here is on what the solutions mean. The framework presented is couched in marginal sensitivity analysis, introducing concepts of “compatible bases” and “transition graphs”.

Suggested Citation

  • Harvey J. Greenberg, 1986. "An analysis of degeneracy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 635-655, November.
  • Handle: RePEc:wly:navlog:v:33:y:1986:i:4:p:635-655
    DOI: 10.1002/nav.3800330409
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    Cited by:

    1. Marcel Klatt & Axel Munk & Yoav Zemel, 2022. "Limit laws for empirical optimal solutions in random linear programs," Annals of Operations Research, Springer, vol. 315(1), pages 251-278, August.
    2. Axel Pierru, 2007. "Short-run and long-run marginal costs of joint products in linear programming," Recherches économiques de Louvain, De Boeck Université, vol. 73(2), pages 153-171.
    3. K. O. Kortanek & Zhu Jishan, 1988. "New purification algorithms for linear programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 571-583, August.

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