Consider a two-station serial line. The first station receives single parts and process them one at a time. Parts are then collected into move batches and moved to the second station. The second station receives batches and put out single parts. Single parts arrival as a Poisson process at an average rate of 20 parts per hour. Currently, there is one machine at each station with the following parameters: Machine 1 at Station 1 Machine 2 at Station 2 Mean of Effective Process Time 2.5 min per part 2 min per part SCV of Effective Process Time 1.2 0.9 Hint: Please note that if arrivals follow a Poisson distribution, then time intervals between arrivals follow an exponential distribution. The mean and standard deviation of an exponential distribution are the same. What is the total cycle time for this two-station system with move batch size being 8? What is the total cycle time for this two-station system with move batch size being 4? Now there are two parallel machines at Station 1. What is the total cycle time for this two-station system with move batch size being 8?
Consider a two-station serial line. The first station receives single parts and process them one at a time. Parts are then collected into move batches and moved to the second station. The second station receives batches and put out single parts.
Single parts arrival as a Poisson process at an average rate of 20 parts per hour. Currently, there is one machine at each station with the following parameters:
|
|
Machine 1 at Station 1 |
Machine 2 at Station 2 |
|
Mean of Effective Process Time |
2.5 min per part |
2 min per part |
|
SCV of Effective Process Time |
1.2 |
0.9 |
Hint: Please note that if arrivals follow a Poisson distribution, then time intervals between arrivals follow an exponential distribution. The mean and standard deviation of an exponential distribution are the same.
What is the total cycle time for this two-station system with move batch size being 8?
What is the total cycle time for this two-station system with move batch size being 4?
Now there are two parallel machines at Station 1. What is the total cycle time for this two-station system with move batch size being 8?
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