Visitors' parking space is limited only to four spaces. Cars making use of this space arrive according to a Poisson distribution at a rate of 10 cars per hour. Parking time is exponential with mean 40 minutes. Visitors who cannot find an empty space immediately on arrival may temporarily wait outside the compound until a parked car leaves. That temporary space can hold only four cars. All other cars that cannot park or find a temporary waiting space must go elsewhere. Determine the average number of occupied parking space.
Visitors' parking space is limited only to four spaces. Cars making use of this space arrive according to a Poisson distribution at a rate of 10 cars per hour. Parking time is exponential with mean 40 minutes. Visitors who cannot find an empty space immediately on arrival may temporarily wait outside the compound until a parked car leaves. That temporary space can hold only four cars. All other cars that cannot park or find a temporary waiting space must go elsewhere. Determine the average number of occupied parking space.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
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[Queuing Theory - Operations Research]
Visitors' parking space is limited only to four spaces. Cars making use of this space arrive according to a Poisson distribution at a rate of 10 cars per hour. Parking time is exponential with mean 40 minutes. Visitors who cannot find an empty space immediately on arrival may temporarily wait outside the compound until a parked car leaves. That temporary space can hold only four cars. All other cars that cannot park or find a temporary waiting space must go elsewhere. Determine the average number of occupied parking space.
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