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This self-contained discussion relates the long-run average holding cost perunit time to the long-run average response time per customer in a $G/G/1$ queuewith no assumption made on the order of service. The only restrictionestablished is that the system be ergodic. This is achieved using standardqueuing theory. The practical relevance of such a result is discussed in thecontext of simulation output analysis as well as through an application toformulating a Markov Decision Process that minimises long-run average responsetime per customer.

On the equivalence of holding cost and response time for evaluating performance of queues