A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane atthe rate of 750 per hour. It will take exactly four seconds to verify the debit card.a. In how much time would you expect the customer to wait in line, pay with the debitcard, and leave?b. How many cars would you expect to see in the system?
A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane atthe rate of 750 per hour. It will take exactly four seconds to verify the debit card.a. In how much time would you expect the customer to wait in line, pay with the debitcard, and leave?b. How many cars would you expect to see in the system?
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 32P
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A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card. a. In how much time would you expect the customer to wait in line, pay with the debit card, and leave? b. How many cars would you expect to see in the system? |
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