Consider a two station line. The first station pulls from an infinite supply of raw materials...

 

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Consider a two station line. The first station pulls from an infinite supply of raw materials (i.e., there are always jobs available at the buffer of the first station). Between the two stations there is a buffer with room for five jobs. The second station can always push to finished goods inventory. However, if the buffer is full when the first station finishes, it must wait until there is room in the buffer before it can start another job. The processing times in the first station has a mean of 10 minutes with standard deviation 15 minutes. The process time at the second station has a mean of 15 minutes and standard deviation 15 minutes. (a) What is the throughput of the line? (b) What percentage of time the first station is blocked? (c) Consider the case in which the first station does not have access to infinite supply. Instead, jobs are released at the first station at a rate of 3 jobs per hour according to Poisson process. Also, suppose that the buffer between the two stations has unlimited space. When a job is released into the line, how long it takes, on average, until the job exits the line? Consider a two station line. The first station pulls from an infinite supply of raw materials (i.e., there are always jobs available at the buffer of the first station). Between the two stations there is a buffer with room for five jobs. The second station can always push to finished goods inventory. However, if the buffer is full when the first station finishes, it must wait until there is room in the buffer before it can start another job. The processing times in the first station has a mean of 10 minutes with standard deviation 15 minutes. The process time at the second station has a mean of 15 minutes and standard deviation 15 minutes. (a) What is the throughput of the line? (b) What percentage of time the first station is blocked? (c) Consider the case in which the first station does not have access to infinite supply. Instead, jobs are released at the first station at a rate of 3 jobs per hour according to Poisson process. Also, suppose that the buffer between the two stations has unlimited space. When a job is released into the line, how long it takes, on average, until the job exits the line?

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a To calculate the throughput of the line we need to consider the station with the longest processin... View the full answer