An airline is planning to open a satellite ticket desk in a new shopping plaza, staffed by one ticket agent. It is estimated that requests for tickets and information will average 15 per hour, and request will have a Poisson distribution. Service time is assumed to be exponentially distributed. Previous experience with similar satellite operations suggests that mean service time should average about three minutes per request. Determine each of the following:Percentage number of time the server (agent) will be idle.The expected number of customers waiting to be served.The average time customers will spend in the system.The probability of zero customers in the system and the probability of four customers in the system.

Answer: For the problem we first need to calculate the utilization percentage if the server. We use…

Answered: An airline is planning to open a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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An airline is planning to open a satellite ticket desk in a new shopping plaza, staffed by one ticket agent. It is estimated that requests for tickets and information will average 15 per hour, and request will have a Poisson distribution. Service time is assumed to be exponentially distributed. Previous experience with similar satellite operations suggests that mean service time should average about three minutes per request. Determine each of the following:
Percentage number of time the server (agent) will be idle.The expected number of customers waiting to be served.The average time customers will spend in the system.The probability of zero customers in the system and the probability of four customers in the system.

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