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Selective Control of Independent Activities: Linear Programming of Markovian Decisions

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  • Hirohide Hinomoto

    (University of Illinois at Urbana)

Abstract

This study is related to optimum control strategies used by a manager supervising a group of independent activities whose performances deteriorate with time. At the end of a day, the manager evaluates information regarding the performance levels of the activities during that day and decides which activity to attend to, since he can control only one at a time. The deterioration of performance and the improvement of the deteriorated performance by a control action from one level to other levels are given by stationary transition probabilities. Optimal strategies for this control are obtained by the linear programming method proposed by Manne [Manne, A. S., Linear programming and sequential decisions. Management Science Vol. 6 No. 1 (April 1960), pp. 259-267.].

Suggested Citation

  • Hirohide Hinomoto, 1971. "Selective Control of Independent Activities: Linear Programming of Markovian Decisions," Management Science, INFORMS, vol. 18(1), pages 88-96, September.
    • Handle: RePEc:inm:ormnsc:v:18:y:1971:i:1:p:88-96
    DOI: 10.1287/mnsc.18.1.88
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