5. Marty Schatz owns and manages a chili dog and soft drink store near the campus. Although Marty can service 30 customers per hour on average, he only gets 20 customers per hour. Because Martycould wait on 50% more customers than actually visit his store, it doesn't make sense to him that he should have any waiting lines. Marty hires you to examine the situation and to determine somecharacteristics of his queue. After looking into the problem, you find this to be an M/M/1 system. Finda. The average number of customers in the system.b. The average time a customer spends waiting in the queue.e. The average number of customers the queue. (d. The average time a customer spends waiting in the queue.e. The percent idle time or the probability no one is in the system.2p==μL=2μ-λP=1-2(1-2)1H-AW=.W, =L =μ2²μ(μ-2)

Given that: Arrival rate (lambda) 20 customers per hr Service rate (mu) 30 customers per hr

Answered: a. The average number of customers in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the queue(Lq)? Note: Round your answer to 3 decimal places. What is the expected waiting time in the queue(Wq)?
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