Only type answer  The police station's call center has 2 dispatch officers, who each can handle calls at a rate of 5/hour. The calls arrive at a rate of 9/hour. If someone calls and both dispatch officers are busy, they receive a busy signal and hang up. In other words, there is no holding queue. a. Find the utilization of the dispatch officers. b. Find he probability that both dispatch officers are idle. c. Find the probability that a caller does receive a busy signal.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 52P
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The police station's call center has 2 dispatch officers, who each can handle calls at a rate of 5/hour. The calls arrive at a rate of 9/hour. If someone calls and both dispatch officers are busy, they receive a busy signal and hang up. In other words, there is no holding queue.

a. Find the utilization of the dispatch officers.

b. Find he probability that both dispatch officers are idle.

c. Find the probability that a caller does receive a busy signal.

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