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Convex/stochastic programming and multilocation inventory problems

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  • Uday S. Karmarkar

Abstract

This paper examines a convex programming problem that arises in several contexts. In particular, the formulation was motivated by a generalization of the stochastic multilocation problem of inventory theory. The formulation also subsumes some “active” models of stochastic programming. A qualititative analysis of the problem is presented and it is shown that optimal policies have a certain geometric form. Properties of the optimal policy and of the optimal value function are described.

Suggested Citation

  • Uday S. Karmarkar, 1979. "Convex/stochastic programming and multilocation inventory problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(1), pages 1-19, March.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:1:p:1-19
    DOI: 10.1002/nav.3800260102
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    Cited by:

    1. Satya S. Malladi & Alan L. Erera & Chelsea C. White, 2021. "Managing mobile production-inventory systems influenced by a modulation process," Annals of Operations Research, Springer, vol. 304(1), pages 299-330, September.
    2. Yale T. Herer & Michal Tzur, 2001. "The dynamic transshipment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(5), pages 386-408, August.

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