Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/ unloading rate is 19 per day. a. What is the probability that the truck dock will be idle? b. What is the average number of trucks waiting for service? c. What is the average time a truck waits for the loading or unloading service?
Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/ unloading rate is 19 per day. a. What is the probability that the truck dock will be idle? b. What is the average number of trucks waiting for service? c. What is the average time a truck waits for the loading or unloading service?
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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Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/ unloading rate is 19 per day.
a. What is the probability that the truck dock will be idle?
b. What is the average number of trucks waiting for service?
c. What is the average time a truck waits for the loading or unloading service?
d. What is the probability that a new arrival will have to wait?
e. What is the probability that more than three trucks are waiting for service?
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