Consider a flexible manufacturing system in which 10 parts are always in process. Each part requires two operations. Each part begins by having operation 1 done at machine 1. Then, with probability .75 the part has operation 2 processed on machine 2, and with probability .25 the part operation 2 processed on machine 3. Once a part completes operation 2, the part leaves the system and its immediately replaced by another part. Consider server rates exponentially. ₁.25 minutes H₂ = .48 minutes 3.08 minutes a. Find the probability distribution of the number of parts at each machine. b. Find the expected number of parts present at each machine c. What fraction of time is each machine busy? d. How many parts per minute are completed by each machine?
Consider a flexible manufacturing system in which 10 parts are always in process. Each part requires two operations. Each part begins by having operation 1 done at machine 1. Then, with probability .75 the part has operation 2 processed on machine 2, and with probability .25 the part operation 2 processed on machine 3. Once a part completes operation 2, the part leaves the system and its immediately replaced by another part. Consider server rates exponentially. ₁.25 minutes H₂ = .48 minutes 3.08 minutes a. Find the probability distribution of the number of parts at each machine. b. Find the expected number of parts present at each machine c. What fraction of time is each machine busy? d. How many parts per minute are completed by each machine?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:* Consider a flexible manufacturing system in which 10 parts are always in
process. Each part requires two operations. Each part begins by having
operation 1 done at machine 1. Then, with probability .75 the part has
operation 2 processed on machine 2, and with probability .25 the part
operation 2 processed on machine 3. Once a part completes operation 2,
the part leaves the system and its immediately replaced by another part.
Consider server rates exponentially.
H=.25 minutes
H2= 48 minutes
H3 =.08 minutes
a. Find the probability distribution of the number of parts at
each machine.
b. Find the expected number of parts present at each machine
C. What fraction of time is each machine busy?
d. How many parts per minute are completed by each machine?
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