Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.0 per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. The probability that the operator is busy = 0.500.50 (round your response to two decimal places).The average time that a caller must wait before reaching the operator = 0.250.25 minutes (round your response to two decimal places). c) The average number of calls waiting to be answered = calls (round your response to two decimal places).
Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.0 per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. The probability that the operator is busy = 0.500.50 (round your response to two decimal places).The average time that a caller must wait before reaching the operator = 0.250.25 minutes (round your response to two decimal places). c) The average number of calls waiting to be answered = calls (round your response to two decimal places).
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 18P
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Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.0 per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. The probability that the operator is busy = 0.500.50 (round your response to two decimal places).The average time that a caller must wait before reaching the operator = 0.250.25 minutes (round your response to two decimal places). c) The average number of calls waiting to be answered = calls (round your response to two decimal places).
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