Optimal service-capacity allocation in a loss system
نویسندگان
چکیده
We consider a loss system with a fixed budget for servers. The system owner’s problem is choosing the price, and selecting the number and quality of the servers, in order to maximize profits, subject to a budget constraint. We solve the problem with identical and different service rates as well as with preemptive and non-preemptive policies. In addition, when the policy is preemptive we prove the following conservation law: the distribution of the total service time for a customer entering the slowest server is hyper-exponential with expectation equal to the average service rate independent of the allocation of the capacity.
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