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A small pizza shop has a single telephone number that can ring two different phones. Each of these phones has the capability to put a single call on hold and then whenever a call is completed the next waiting call (from either phone) will automatically ring through. The average call lasts 5 minutes and, during peak times, calls come in at a rate of one call every two minutes.

(a) What is the state space for this queuing system?

(b) What is the steady-state distribution for this queuing system? (Hint: you should determine what type of queuing system this is and then find its steady-state distribution.)

(c) The owner of the pizza shop is contemplating adding an additional phone line. Do you think the owner should? Why or why not?

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Operation Management, Management Studies

Category:- Operation Management
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