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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