A manufacturing system consists of 3 machines. Parts arrive following an Expo(5) minutes inter-arrival time. Upon arrival, the parts will be sent to the shop where they will be processed, each part will be transported individually (assume the parts move by themselves without needing a resource) and the move time takes UNIF(2,3) minutes. Once the parts arrive at the shop, they are sent to the machine with the shortest queue at the moment, if there are ties, then the tie breaker is the machine index (Machine 3 is prioritized over machines 2 and 1, and Machine 2 is prioritized over machine 1). There is no maximum buffer capacity to be considered. Processing time for each machine is constant and is equal to 7 minutes. All three machines have failure modes; the machines have uptimes and downtimes in minutes as follows: Machine # 1 2 3 Uptime Downtime EXPO(140) UNIF(5, 10) EXPO(100) UNIF(5, 15)+5 EXPO(50) UNIF(8, 9) Run 20 replications of 200 hours.

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A manufacturing system consists of 3 machines. Parts arrive following an Expo(5) minutes
inter-arrival time. Upon arrival, the parts will be sent to the shop where they will be
processed, each part will be transported individually (assume the parts move by
themselves without needing a resource) and the move time takes UNIF(2,3) minutes. Once
the parts arrive at the shop, they are sent to the machine with the shortest queue at the
moment, if there are ties, then the tie breaker is the machine index (Machine 3 is
prioritized over machines 2 and 1, and Machine 2 is prioritized over machine 1). There is
no maximum buffer capacity to be considered. Processing time for each machine is
constant and is equal to 7 minutes. All three machines have failure modes; the machines
have uptimes and downtimes in minutes as follows:
Machine #
1
2
3
Uptime
Downtime
EXPO(140)
UNIF(5, 10)
EXPO(100)
UNIF(5, 15)+5
EXPO(50)
UNIF(8, 9)
Run 20 replications of 200 hours.
Transcribed Image Text:A manufacturing system consists of 3 machines. Parts arrive following an Expo(5) minutes inter-arrival time. Upon arrival, the parts will be sent to the shop where they will be processed, each part will be transported individually (assume the parts move by themselves without needing a resource) and the move time takes UNIF(2,3) minutes. Once the parts arrive at the shop, they are sent to the machine with the shortest queue at the moment, if there are ties, then the tie breaker is the machine index (Machine 3 is prioritized over machines 2 and 1, and Machine 2 is prioritized over machine 1). There is no maximum buffer capacity to be considered. Processing time for each machine is constant and is equal to 7 minutes. All three machines have failure modes; the machines have uptimes and downtimes in minutes as follows: Machine # 1 2 3 Uptime Downtime EXPO(140) UNIF(5, 10) EXPO(100) UNIF(5, 15)+5 EXPO(50) UNIF(8, 9) Run 20 replications of 200 hours.
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