As a tool service centre the arrival rate is two per hour and the service potential is three per hour. Simple queue conditions exist. The hourly wage paid to the attendant at the service centre is *1.50 per hour and the hourly cost of a machinist away from his work is ₹ 4. Calculate: (i) The average number of machinists being served or waiting to be served at any given time. (i) The average time a machinist spends waiting for service. () The total cost of operating the system for an eight-hour day. (iv) The cost of the system if there were two attendants working together as a team, each paid * 1.50 per hour and each able to service on average 2 per hour.

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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As a tool service centre the arrival rate is two per hour and the service potential is three per hour. Simple queue
conditions exist.
The hourly wage paid to the attendant at the service centre is 1.50 per hour and the hourly cost of a machinist
away from his work is * 4.
Calculate:
(i) The average number of machinists being served or waiting to be served at any given time.
(ii) The average time a machinist spends waiting for service.
(i) The total cost of operating the system for an eight-hour day.
(iv) The cost of the system if there were two attendants working together as a team, each paid 1.50 per hour
and each able to service on average 2 per hour.
Transcribed Image Text:As a tool service centre the arrival rate is two per hour and the service potential is three per hour. Simple queue conditions exist. The hourly wage paid to the attendant at the service centre is 1.50 per hour and the hourly cost of a machinist away from his work is * 4. Calculate: (i) The average number of machinists being served or waiting to be served at any given time. (ii) The average time a machinist spends waiting for service. (i) The total cost of operating the system for an eight-hour day. (iv) The cost of the system if there were two attendants working together as a team, each paid 1.50 per hour and each able to service on average 2 per hour.
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