Repair strategies in an uncertain environment: Stochastic game approach

Kim, Yeek-Hyun and Thomas, Lyn (2003) Repair strategies in an uncertain environment: Stochastic game approach (Discussion Papers in Management, M03-14) Southampton, UK. University of Southampton 42pp.

Abstract

This paper deals with repair strategies which maximise the time until a catastrophic event that is when there is a vital need for the equipment, and it is unable to respond. We look at conflict situations where the environment is controlled by an opponent. In this case the opponent's actions force the need for the equipment, and this situation is modelled as a stochastic game.

We develop stochastic game models with global constraints on effort, we introduce the idea of a constraint on the average effort undertaken by the opponent needs to sleep for a certain percentage of the time. We also expand these results to the situation where the advantage of a rest or quiescent period is discounted the further in the past it is, but always has a positive effect.
In the model with local constraints on effort we look at games where the benefit to the opponent of being "able to sleep" only lasts for a finite period and is then lost completely. In each case we are able to derive properties of the form of the optimal maintenance policy and also find the form of the optimal policy in specific numerical examples.

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