A production system is composed from 3 machines in series. Parts arrive according to expo(5) minutes. First part arrives at time zero. The processing time at machine 1 is uniform from 2 to 3.5 minutes. Parts then move to machine 2 which needs exactly 5 minutes to be processes. The final stage needs expo(3) minutes for each product. Run the sin tion once 12 hours.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter21: Simulation
Section21.5: Simulations With Continuous Random Variables
Problem 5P
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A production system is composed from 3 machines in series.
Parts arrive according to expo(5) minutes. First part arrives at time zero.
The processing time at machine 1 is uniform from 2 to 3.5 minutes. Parts then move to
machine 2 which needs exactly 5 minutes to be processes.
The final stage needs expo(3) minutes for each product.
Run the simulation once for 12 hours.
The utilization of machine 1 is about:
(А) 15%
(в) 19%
25%
(D) 55%
Transcribed Image Text:A production system is composed from 3 machines in series. Parts arrive according to expo(5) minutes. First part arrives at time zero. The processing time at machine 1 is uniform from 2 to 3.5 minutes. Parts then move to machine 2 which needs exactly 5 minutes to be processes. The final stage needs expo(3) minutes for each product. Run the simulation once for 12 hours. The utilization of machine 1 is about: (А) 15% (в) 19% 25% (D) 55%
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