A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.
A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.
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 11P
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A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage.
The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.
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