Trucks are required to check in at a weigh station (scale) so that they can be inspected for weight violations. Trucks arrive at the station at the rate of 40 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour, according to Poisson distribution. a. If only 13 trucks fit in the system, what is the probability that a truck cannot enter the system?
Trucks are required to check in at a weigh station (scale) so that they can be inspected for weight violations. Trucks arrive at the station at the rate of 40 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour, according to Poisson distribution. a. If only 13 trucks fit in the system, what is the probability that a truck cannot enter 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 9P
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Trucks are required to check in at a weigh station (scale) so that they can be inspected for weight violations. Trucks arrive at the station at the rate of 40 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour, according to Poisson distribution.
a. If only 13 trucks fit in the system, what is the probability that a truck cannot enter the system?
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