Mom-and-Pop’s Grocery Store has a small adjacent parking lot with three parkingspaces reserved for the store’s customers. During store hours, cars enter the lot and useone of the spaces at a mean rate of 2 per hour. For n = 0, 1, 2, 3, the probability Pn that exactly n spaces currently are being used is P0 = 0.1, P1 = 0.2, P2 = 0.4, P3 = 0.3. - Midtown Bank always has two tellers on duty. The Customers arrive at checkouts at an average rate of 40 per hour. A cashier requires an average of 2 minutes to serve a customer. When both cashiers are busy, arriving customer joins a queue and wait to be served. From experience it is known that customers They wait in line for an average of 1 minute before going to the checkout. a) Describe why this is a waiting line system Mention the queuing model that can be implemented for the analysis (notation of Kendall) and why that model was chosen

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 11P
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- Mom-and-Pop’s Grocery Store has a small adjacent parking lot with three parkingspaces reserved for the store’s customers. During store hours, cars enter the lot and useone of the spaces at a mean rate of 2 per hour. For n = 0, 1, 2, 3, the probability Pn that exactly n spaces currently are being used is P0 = 0.1, P1 = 0.2, P2 = 0.4, P3 = 0.3.

- Midtown Bank always has two tellers on duty. The Customers arrive at checkouts at an average rate of 40 per hour. A cashier requires an average of 2 minutes to serve a customer. When both cashiers are busy, arriving customer joins a queue and wait to be served. From experience it is known that customers They wait in line for an average of 1 minute before going to the checkout. a) Describe why this is a waiting line system

Mention the queuing model that can be implemented for the analysis (notation of Kendall) and why that model was chosen

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