Journal of Heuristics

, Volume 5, Issue 1, pp 89–108

Rollout Algorithms for Stochastic Scheduling Problems

  • Dimitri P. Bertsekas
  • David A. Castanon

DOI: 10.1023/A:1009634810396

Cite this article as:
Bertsekas, D.P. & Castanon, D.A. Journal of Heuristics (1999) 5: 89. doi:10.1023/A:1009634810396


Stochastic scheduling problems are difficult stochastic control problems with combinatorial decision spaces. In this paper we focus on a class of stochastic scheduling problems, the quiz problem and its variations. We discuss the use of heuristics for their solution, and we propose rollout algorithms based on these heuristics which approximate the stochastic dynamic programming algorithm. We show how the rollout algorithms can be implemented efficiently, with considerable savings in computation over optimal algorithms. We delineate circumstances under which the rollout algorithms are guaranteed to perform better than the heuristics on which they are based. We also show computational results which suggest that the performance of the rollout policies is near-optimal, and is substantially better than the performance of their underlying heuristics.

rollout algorithmsschedulingneuro-dynamic programming

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Dimitri P. Bertsekas
    • 1
  • David A. Castanon
    • 2
  1. 1.Department of Electrical Engineering and Computer Science, M.I.T.Cambridge
  2. 2.Department of Electrical EngineeringBoston University, and ALPHATECH, Inc.Burlington