Mathematics, 24.04.2020 04:30 mmk4

Consider a call center with three identical agents (servers) and four phone lines. Call arrivals follow a Poisson process with rate 2 per minute. An arriving call that finds all lines busy is lost (blocked). Call processing times are i. i.d., exponentially distributed with mean 1 minute. An admitted call that finds all agents busy will wait until getting service, occupying a phone line. Model this system as a CTMC.

1.Find the long-term throughput of the system (the rate of served customers leaving the system).

2.Find the average waiting time (in queue) among those who are served. Find the average number of calls in the entire system.

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Consider a call center with three identical agents (servers) and four phone lines. Call arrivals fol...

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