4. Mom-and-Pop's Grocery Store has a small adjacent parking lot with three parking spaces reserved for thestore's customers. During store hours, cars enter the lot and use one of the spaces at a mean rate of 2 perhour. If there is no parking space available, the car just leaves without waiting. For n = 0, 1, 2, 3, the probabilityPn that exactly n spaces currently are being used is Po = 0.1, P₁ = 0.2, P₂ = 0.4, P3 = 0.3.(a) This parking lot can be interpreted as being a queueing system. Identify the customers and the servers.What constitutes a service time? What is the queue capacity?(b) Determine the basic measures of performance-L, Lq, W, and Wa-for this queueing system.(c) Use the results from part (b) to determine the average length of time that a car remains in a parking space.(d) Find p, the utilization factor.

NOTE: We are allowed to do the first three sub-parts only. Given: Arrival rate (lambda) = 2 per hr

Answered: Pn that exactly n spaces currently are…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.6: The Effects Of Input Distributions On Results

Problem 28P

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