Optimality of index policies for stochastic scheduling with switching penalties
- 1 December 1992
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 29 (4) , 957-966
- https://doi.org/10.2307/3214727
Abstract
We investigate the impact of switching penalties on the nature of optimal scheduling policies for systems of parallel queues without arrivals. We study two types of switching penalties incurred when switching between queues: lump sum costs and time delays. Under the assumption that the service periods of jobs in a given queue possess the same distribution, we derive an index rule that defines an optimal policy. For switching penalties that depend on the particular nodes involved in a switch, we show that although an index rule is not optimal in general, there is an exhaustive service policy that is optimal.Keywords
This publication has 25 references indexed in Scilit:
- On the Complexity of Scheduling with Batch Setup TimesOperations Research, 1989
- Interchange arguments in stochastic schedulingJournal of Applied Probability, 1989
- Interchange arguments for classical scheduling problems in queuesSystems & Control Letters, 1989
- Open bandit processes and optimal scheduling of queueing networksAdvances in Applied Probability, 1988
- Extensions of the multiarmed bandit problem: The discounted caseIEEE Transactions on Automatic Control, 1985
- Arm-Acquiring BanditsThe Annals of Probability, 1981
- Time-Sharing Service Systems. ITheory of Probability and Its Applications, 1975
- Decomposition Algorithms for Single-Machine Sequencing with Precedence Relations and Deferral CostsOperations Research, 1975
- Dynamic Scheduling of a Multiclass Queue: Discount OptimalityOperations Research, 1975
- Simplified Analysis of an Alternating-Priority Queuing Model with Setup TimesOperations Research, 1970