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Constraint Qualifications Revisited

Author

Listed:
  • M. S. Bazaraa

    (Georgia Institute of Technology)

  • J. J. Goode

    (Georgia Institute of Technology)

  • C. M. Shetty

    (Georgia Institute of Technology)

Abstract

In this study we investigate the constraint qualifications for the Kuhn-Tucker conditions to hold for an inequality-constrained nonlinear programming problem. We present the qualifications in a consistent manner so that the interrelationships between them are highlighted. This gives rise naturally to two types of constraint qualifications, and it will be seen that air the qualifications of one type are almost equally weak whereas the other type of qualifications makes relatively strong assumptions. In the study we also slightly relax the Kuhn-Tucker and some other constraint qualifications, and also show the interrelationship between some of the qualifications which have not been established thus far.

Suggested Citation

  • M. S. Bazaraa & J. J. Goode & C. M. Shetty, 1972. "Constraint Qualifications Revisited," Management Science, INFORMS, vol. 18(9), pages 567-573, May.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:9:p:567-573
    DOI: 10.1287/mnsc.18.9.567
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    Cited by:

    1. Polyxeni-Margarita Kleniati & Claire Adjiman, 2014. "Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development," Journal of Global Optimization, Springer, vol. 60(3), pages 425-458, November.
    2. Johri, Pravin K., 1996. "Implied constraints and an alternate unified development of nonlinear programming theory," European Journal of Operational Research, Elsevier, vol. 88(3), pages 537-549, February.
    3. Stanley Baiman & Jerrold H. May & Arijit Mukherji, 1990. "Optimal employment contracts and the returns to monitoring in a principal†agent context," Contemporary Accounting Research, John Wiley & Sons, vol. 6(2), pages 761-799, March.

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