Answered: A typical TSA agent at Piedmont Triad…

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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A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screen each passenger that arrives at the security gate. During the day, a passenger arrives at the gate on average every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based on this information and the assumption that only one screening line is open at the security gate, answers the following questions. Round calculations to at least 3 decimal places. Note: Round each calculation to at least 3 decimal places.

Arrival time =60/1.3=46.153

Server Rate =60/1.15=52.174

L=expected number of passengers in queue =6.780

waiting time in queue =.1469

time spent screening=.1660

please answer the 2 foloowing questions

What is percent of the time does the typical TSA agent spend actively screening passengers?
Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this period, approximately 3 passengers arrive every minute (Poisson distributed), what is the minimum number of lines that should be open to accommodate the additional passenger traffic if each line has only one TSA agent assigned to it? You must justify your answ ner using data obtained through queuing analysis and show your work.

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