Consider the M/M/1 queueing system with arrival rate > 0 and service rate > 0.
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Question:
Consider the M/M/1 queueing system with arrival rate λ > 0 and service rate μ > 0.
(a) Compute the expected number of arrivals during a service time (also called service period).
(b) Compute the probability that no customers arrive during a service period.
You may use the trick of computing expectation/probability by conditioning, i.e., “unconditional expectation (or probability) is equal to the expectation of conditional expectation (or probability)”.
Related Book For
Quantitative Analysis for Management
ISBN: 978-0133507331
12th edition
Authors: Barry Render, Ralph M. Stair, Michael E. Hanna, Trevor S. Ha
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