solve both parts correctly to get upvote Renuka Jain's Car Wash takes a constant time of 4.0 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 9 per hour. Renuka wants to know:a) The average wait time in the line =minutes (round your response to two decimal places).b) The average number of customers waiting in the line =cars (round your response to two decimal places).

Service rate is the measurement rate at which customer service is measured in the business.

Answered: a) The average wait time in the line =…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 52P

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Only typed answer otherwise leave it Renuka Jain's Car Wash takes a constant time of 4.54.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 1212 per hour. Renuka wants to? know: ? a) The average wait time in the line ?= __________(round your response to two decimal? places). ? b) The average number of customers waiting in the line ?= ________ cars ?(round your response to two decimal? places).
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Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4 minutes to prepare a complete license. The interarrival time between two drivers is 6 minutes distributed exponential. a) What type of queuing model this system follow ? b) Determine the average length of the waiting line. c) Determine the average waiting time.

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a) The average wait time in the line = O minutes (round your response to two decimal places). b) The average number of customers waiting in the line = cars (round your response to two decimal places).