A transport company has a single unloading berth with vehicles arriving in a Poisson fashion at an average rate of three

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A transport company has a single unloading berth with vehicles arriving in a Poisson fashion at an average rate of three

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A Transport Company Has A Single Unloading Berth With Vehicles Arriving In A Poisson Fashion At An Average Rate Of Three 1
A Transport Company Has A Single Unloading Berth With Vehicles Arriving In A Poisson Fashion At An Average Rate Of Three 1 (218.63 KiB) Viewed 36 times
A transport company has a single unloading berth with vehicles arriving in a Poisson fashion at an average rate of three per day. The unloading time distribution for a vehicle with N. Unloading workers is found to be exponentially with an average unloading time (1/2) x N days. The company has a large labour supply without regular working hours, and to avoid long waiting lines, the company has a policy of using as many unloading group of workers in a vehicle as there are vehicles waiting in line or being unloaded. Under these conditions find (a) what will be the average number of unloading group of workers working at any time? (b) What is the probability that more than 4 groups of workers are needed?
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