A Diffusion Approximation Solution for a Repairman Problem with Two Types of Failure

Abstract

We propose a new type of repairman model in which failures may require multiple repair operations, each done by a specialized repair crew. These repair operations may occur simultaneously. An analysis of the model is carried out using diffusion approximation techniques. The analysis predicts that the number of customers in service will have a steady state normal distribution with specified mean and covariance structure. Numerical studies are presented which substantiate this assertion in the infinite server case. An analysis for the multiple server case is also provided.