Abstract
A generalization of the Hypercube queueing model for exponential queueing systems is presented which allows for distinguishable servers and multiple types of customers. Given costs associated with each server-customer pair, the determination of the assignment policy which minimizes time-averaged costs is formulated as a Markov decision problem. A characterization of optimal policies is obtained and used in an efficient algorithm for determining the optimum. The algorithm combines the method of successive approximations and “Howard's method” in a manner which is particularly applicable to Markov decision problems having large, sparse transition matrices.
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