Q5 KDA2↓Paragraph1C|>Styles231456INEN435 Stochastic Operations ResearchHomework 5-Queuing Theory5. Consider a bank with three tellers. An average of 90 customers per hour arrive at thebank and wait in a single line for an idle teller. The average time it takes to serve acustomer is 2.0 minutes. Assume that inter-arrival times and service times areexponential. Determine1. The expected number of customers present in the bank.2. The expected length of time a customer spends in the bank.3. The fraction of time that a particular teller is idle.6. A car washing station is trying to decide how many washing machines to operate.Suppose an average of 15 cars arrive each hour, and the average washing time for a caruton Inter arrival times and service times are exponential, and the system may beEG diting

s: The number of servers in the system, which is 3 hereμ: Mean Service Rate, which is 60/2.0 = 30…

Answered: 5. Consider a bank with three tellers.…

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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