Question: Consider a workstation with 11 machines (in parallel), each requiring one hour of process time per job with c = 5. Each machine costs
Consider a workstation with 11 machines (in parallel), each requiring one hour of process time per job with c = 5. Each machine costs $10,000. Orders for jobs arrive at a rate of 10 per hour with ca = 1 and must be filled. Management has specified a maximum allowable average response time (i.e., time a job spends at the station) of 2 hours. Currently it is just over 3 hours. Analyze the following options for reducing average response time. (a) Perform more preventive maintenance so that m, and my are reduced, but m, /m, remains the same. This costs $8,000 and does not improve the average process time but does reduce c to one. (30 Points) (b) Add another machine to the workstation at a cost of $10,000. The new machine is identical to existing machines, so t = 1 and c = 5. (30 Points) (c) Modify the existing machines to make them faster without changing the SCV, at a cost of $8,500. The modified machines would have te = 0.96 and c2= 5. (30 Points) What is the best option? (10 Points) Consider a workstation with 11 machines (in parallel), each requiring one hour of process time per job with c = 5. Each machine costs $10,000. Orders for jobs arrive at a rate of 10 per hour with ca = 1 and must be filled. Management has specified a maximum allowable average response time (i.e., time a job spends at the station) of 2 hours. Currently it is just over 3 hours. Analyze the following options for reducing average response time. (a) Perform more preventive maintenance so that m, and my are reduced, but m, /m, remains the same. This costs $8,000 and does not improve the average process time but does reduce c to one. (30 Points) (b) Add another machine to the workstation at a cost of $10,000. The new machine is identical to existing machines, so t = 1 and c = 5. (30 Points) (c) Modify the existing machines to make them faster without changing the SCV, at a cost of $8,500. The modified machines would have te = 0.96 and c2= 5. (30 Points) What is the best option? (10 Points)
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