In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the average waiting time of a customer (both in Queue and System)? ✔ Queue - 225 Sec, System - 125 Sec Queue - 125 Sec, System - 225 Sec Queue - 250 Sec, System - 325 Sec Queue. 250 Sec System 400 Sec

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
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In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The
total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the
average waiting time of a customer (both in Queue and System)?
✓ Queue - 225 Sec, System - 125 Sec
Queue - 125 Sec, System - 225 Sec
Queue - 250 Sec, System - 325 Sec
Queue - 250 Sec, System - 400 Sec
Transcribed Image Text:In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the average waiting time of a customer (both in Queue and System)? ✓ Queue - 225 Sec, System - 125 Sec Queue - 125 Sec, System - 225 Sec Queue - 250 Sec, System - 325 Sec Queue - 250 Sec, System - 400 Sec
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