A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 56 per hour, and this rate is Poisson-distributed. A. Determine the average number of customers waiting in line B. Determine the average time customers spend in the system C. Determine the average number of customers in the system Elaborate

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
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A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 56 per hour, and this rate is Poisson-distributed.

A. Determine the average number of customers waiting in line

B. Determine the average time customers spend in the system

C. Determine the average number of customers in the system

Elaborate

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