Explain why the utilization factor p for the server in a single-server queueing system must equal 1 = P0, where P0 is the probability of having 0 customers in the system.
Answer to relevant QuestionsConsider the finite queue variation of the M/M/s model. Derive the expression for Lq given in Sec. 17.6 for this model. Consider the M/G/1 model. (a) Compare the expected waiting time in the queue if the servicetime distribution is (i) exponential, (ii) constant, (iii) Erlang with the amount of variation (i.e., the standard deviation) halfway ...Reconsider Prob. 17.7-6. Management has adopted the proposal but now wants further analysis conducted of this new queueing system. (a) How should the state of the system be defined in order to formulate the queueing model in ...Consider the single-server variation of the nonpreemptive priorities model presented in Sec. 17.8. Suppose there are three priority classes, with λ1 = 1, λ2 = 1, and λ3 = 1. The expected service times for priority classes ...Under the assumptions specified in Sec. 17.9 for a system of infinite queues in series, this kind of queueing network actually is a special case of a Jackson network. Demonstrate that this is true by describing this system ...
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