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 600 per hour. It will take exactly 4.5 seconds to verify the debit card. a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)
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 600 per hour. It will take exactly 4.5 seconds to verify the debit card. a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)
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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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 600 per hour. It will take exactly 4.5 seconds to verify the debit card.
a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)
b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)
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