Question: Consider the following 3-stage process. Gl-M2 represent 7 resources (workers or machines). The numbers shown besides the names are processing times in minutes. P1,8 M1,8

Consider the following 3-stage process. Gl-M2

Consider the following 3-stage process. Gl-M2 represent 7 resources (workers or machines). The numbers shown besides the names are processing times in minutes. P1,8 M1,8 G1, 12 P2, 10 G2, 10 M2, 15 P3,12 Stage 1 Stage 2 Stage 3 a) What are the cycle times (in minutes) of stage 1, stage 2, and stage 3, respectively? (4 points) b) Which stage is the bottleneck? What is the capacity of the entire process (in units/hour)? (2 points) c) A new job (customer) arrives to GI every 25 minutes, and a new job (customer) arrives to G2 every 10 minutes (both starting at time 0). Under this arrival schedule, is this process supply- constrained or demand-constrained? What is the flow rate in (units/hour)? (3 points) d) ** Use the arrival schedule in (e). Suppose jobs finished at Gl will go to P3 and then go to M2, while jobs finished at G2 will go to P2 and then go to MI. What is the flow time in minutes? (Hint: There is a cycle of 50 minutes. During each cycle, 2 jobs arrive to GI, 5 jobs arrive to G2. The flow time should be the average time spent in the system by these 7 jobs.) (3 points) ** Use the arrival schedule in (c). What is the total WIP for the entire process? (2 points) Consider the following 3-stage process. Gl-M2 represent 7 resources (workers or machines). The numbers shown besides the names are processing times in minutes. P1,8 M1,8 G1, 12 P2, 10 G2, 10 M2, 15 P3,12 Stage 1 Stage 2 Stage 3 a) What are the cycle times (in minutes) of stage 1, stage 2, and stage 3, respectively? (4 points) b) Which stage is the bottleneck? What is the capacity of the entire process (in units/hour)? (2 points) c) A new job (customer) arrives to GI every 25 minutes, and a new job (customer) arrives to G2 every 10 minutes (both starting at time 0). Under this arrival schedule, is this process supply- constrained or demand-constrained? What is the flow rate in (units/hour)? (3 points) d) ** Use the arrival schedule in (e). Suppose jobs finished at Gl will go to P3 and then go to M2, while jobs finished at G2 will go to P2 and then go to MI. What is the flow time in minutes? (Hint: There is a cycle of 50 minutes. During each cycle, 2 jobs arrive to GI, 5 jobs arrive to G2. The flow time should be the average time spent in the system by these 7 jobs.) (3 points) ** Use the arrival schedule in (c). What is the total WIP for the entire process? (2 points)

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