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Gittins‐index heuristics for research planning

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  • K. D. Glazebrook
  • R. W. Owen

Abstract

The classical work of Gittins, which resulted in the celebrated index result, had applications to research planning as an important part of its motivation. However, research planning problems often have features that are not accommodated within Gittins's original framework. These include precedence constraints on the task set, influence between tasks, stopping or investment options and routes to success in which some tasks do not feature. We consider three classes of Markovian decision models for research planning, each of which has all of these features. Gittins‐index heuristics are proposed and are assessed both analytically and computationally. They perform impressively. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • K. D. Glazebrook & R. W. Owen, 1995. "Gittins‐index heuristics for research planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1041-1062, October.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:7:p:1041-1062
    DOI: 10.1002/1520-6750(199510)42:73.0.CO;2-E
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    References listed on IDEAS

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    1. I. Benkherouf & K. D. Glazebrook & R. W. Owen, 1994. "Single-Visit Policies for Allocating a Single Resource in a Stochastic Environment," Operations Research, INFORMS, vol. 42(6), pages 1087-1099, December.
    2. Glazebrook, K. D. & Greatrix, S., 1993. "On scheduling influential stochastic tasks on a single machine," European Journal of Operational Research, Elsevier, vol. 70(3), pages 405-424, November.
    3. Meilijson, Isaac & Weiss, Gideon, 1977. "Multiple feedback at a single-server station," Stochastic Processes and their Applications, Elsevier, vol. 5(2), pages 195-205, May.
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    1. K. D. Glazebrook, 1995. "A suboptimality bound for permutation policies in single machine stochastic scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 993-1005, September.

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