Jobs enter a job shop in random fashion according to a Poisson process at a stationary...

 

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Jobs enter a job shop in random fashion according to a Poisson process at a stationary overall rate, two every 8-hour day. The jobs are of four types. They flow from work station to work station in a fixed order, depending on type, as shown below. The proportions of each type are also shown. TypeFlow through Stations Proportion 1, 2, 3, 4 0.4 1, 3, 4 0.3 2, 4, 3 0.2 1,4 0.1 Processing times perjob at each station depend on type, but all times are, approximately, normally distributed with mean and s.d. in hours as follows: Type 1 2 3 4 Station 1 2 3 4 (20, 3) (30, 5) (75,4) (20, 3) (60, 5) (10, 1) (20, 2) (50, 8) (10, 1) 4 (30,5) (15, 2) Station / will have ci workers, i = 1, 2, 3, 4. Each job occupies one worker at a station for the duration of a processing time. All jobs are processed on a first-in-first-out basis, and all queues for waiting jobs are assumed to have unlimited capacity. Simulate the system for 800 hours, preceded by a 200-hour initialization period. Assume that c1= 8, c2= 8, c3= 20, c4= 7. Based on R = 20 replications, compute a 95% confidence interval for average worker utilization at each of the four stations. Also, compute a 95% confidence interval for mean total response time for each job type, where a total response time is the total time that a job spends in the shop. 1 2 (18,2) 3 Jobs enter a job shop in random fashion according to a Poisson process at a stationary overall rate, two every 8-hour day. The jobs are of four types. They flow from work station to work station in a fixed order, depending on type, as shown below. The proportions of each type are also shown. TypeFlow through Stations Proportion 1, 2, 3, 4 0.4 1, 3, 4 0.3 2, 4, 3 0.2 1,4 0.1 Processing times perjob at each station depend on type, but all times are, approximately, normally distributed with mean and s.d. in hours as follows: Type 1 2 3 4 Station 1 2 3 4 (20, 3) (30, 5) (75,4) (20, 3) (60, 5) (10, 1) (20, 2) (50, 8) (10, 1) 4 (30,5) (15, 2) Station / will have ci workers, i = 1, 2, 3, 4. Each job occupies one worker at a station for the duration of a processing time. All jobs are processed on a first-in-first-out basis, and all queues for waiting jobs are assumed to have unlimited capacity. Simulate the system for 800 hours, preceded by a 200-hour initialization period. Assume that c1= 8, c2= 8, c3= 20, c4= 7. Based on R = 20 replications, compute a 95% confidence interval for average worker utilization at each of the four stations. Also, compute a 95% confidence interval for mean total response time for each job type, where a total response time is the total time that a job spends in the shop. 1 2 (18,2) 3

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ANS WER Station 1 95 Conf idence Inter val for Average Worker Ut il ization 0 7 37 0 8 58 Station 2 95 Conf idence Inter val for Average Worker Ut il ... View the full answer