Please help.... A branch of Punjab National Bank has only one typist. Since the

Question

Please help....

A branch of Punjab National Bank has only one typist. Since the typing work varies in length (number of pages to be typed), the typing rate is randomly distributed approximating a Poisson distribution with mean service rate ui letters per hour. The letters arrive at a rate of 5 per hour during the entire 8-him: work day. If the typewriter is valued at Rs. 1.50 per hour, determine Equipment utilization. The per cent time that an arriving letter has to wait. Average system time. Average cost due to waiting on the part of typewriter.

Explanation / Answer

Given that... :

lambda = 5 per hr

meu = 8 per hr

Solution:

1. roh

= lambda/mu

= 5/8

= 0.625

2.the percent time arriving letter has to wait

= % time the type writer remains busy

=.625*100

= 62.5%

3.Avg system time Ws

= 1/(meu-lambda)

= 1/(8-5)

= 1/3hr

= 20mins

4.Average cost due to waiting on the part of the type writer per day

= 8*(1-(5/8))*1.5

= Rs4.5

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