18. All airplane passengers at the Lake City Regional Airport must pass through a securityscreening area before proceeding to the boarding area. The airport has three screening sta-tions available, and the facility manager must decide how many to have open at any par-ticular time. The service rate for processing passengers at each screening station is 3passengers per minute. On Monday morning the arrival rate is 5.4 passengers per minute.Problems535Assume that processing times at each screening station follow an exponential distributionand that arrivals follow a Poisson distribution.a. Suppose two of the three screening stations are open on Monday morning. Computethe operating characteristics for the screening facility.b.Because of space considerations, the facility manager's goal is to limit the averagenumber of passengers waiting in line to 10 or fewer. Will the two-screening-stationsystem be able to meet the manager's goal?C. What is the average time required for a passenger to pass through security screening?

Given data: Service rate μ= 3 passengers per minuteArrival rate λ = 5.4 passengers per minute

Answered: 18. All airplane passengers at the Lake…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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Operations management When does the Queuing system achieve a condition of steady-state?

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