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Note--A Note on Range Programming: Introducing a "Satisficing Range" in a L.P

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  • Gilles Laurent

    (Massachusetts Institute of Technology)

Abstract

A new approach to the problem of minimizing a quartic (fourth order) cost function, subject to linear constraints, is presented. A "satisficing range" is introduced for each variable (i.e., a range in which all values of the variable are considered to entail the same minimal cost), leading to a new linear formulation ("range programming"). Improvements in results over previous approaches are reported for a specific example (due to Goodman), and should be expected in general.

Suggested Citation

  • Gilles Laurent, 1976. "Note--A Note on Range Programming: Introducing a "Satisficing Range" in a L.P," Management Science, INFORMS, vol. 22(6), pages 713-716, February.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:6:p:713-716
    DOI: 10.1287/mnsc.22.6.713
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    Cited by:

    1. Kharrat, Aida & Chabchoub, Habib & Aouni, Belaid & Smaoui, Soulef, 2007. "Serial correlation estimation through the imprecise Goal Programming model," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1839-1851, March.

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