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Letter to the Editor—-A Closed Form Solution of Certain Programming Problems

Author

Listed:
  • Martin Pincus

    (Polytechnic Institute of Brooklyn, Brooklyn, New York)

Abstract

A formula is given for the coordinates of the point that maximizes a given function F ( x 1 , …, x n ) over the closure of a bounded domain S in n -dimensional Euclidean space. The principal assumption made in deriving the formula is that F attains a global maximum at exactly one point of S . In certain cases the formula may be used to discuss the maximization problem as a function of the parameters involved. Some simple examples are given.

Suggested Citation

  • Martin Pincus, 1968. "Letter to the Editor—-A Closed Form Solution of Certain Programming Problems," Operations Research, INFORMS, vol. 16(3), pages 690-694, June.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:690-694
    DOI: 10.1287/opre.16.3.690
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    Cited by:

    1. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2019. "A Characterization of Probabilities with Full Support and the Laplace Method," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 470-478, May.
    2. Tahir Ekin & Nicholas G. Polson & Refik Soyer, 2014. "Augmented Markov Chain Monte Carlo Simulation for Two-Stage Stochastic Programs with Recourse," Decision Analysis, INFORMS, vol. 11(4), pages 250-264, December.
    3. Mike G. Tsionas, 2021. "Multi-criteria optimization in regression," Annals of Operations Research, Springer, vol. 306(1), pages 7-25, November.
    4. Debasis Kundu & Swagata Nandi, 2021. "On Chirp and Some Related Signals Analysis: A Brief Review and Some New Results," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 844-890, August.
    5. Tahir Ekin & Stephen Walker & Paul Damien, 2023. "Augmented simulation methods for discrete stochastic optimization with recourse," Annals of Operations Research, Springer, vol. 320(2), pages 771-793, January.
    6. Tahir Ekin & Nicholas G. Polson & Refik Soyer, 2017. "Augmented nested sampling for stochastic programs with recourse and endogenous uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(8), pages 613-627, December.

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