Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C.  What is the system's capacity? What is the cycle time for each order through the entire process flow?

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 9P
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Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively.

Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C. 

What is the system's capacity? What is the cycle time for each order through the entire process flow?

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