A two-station production line is used for making experimental vaccines. Station A is the upstream station....

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A two-station production line is used for making experimental vaccines. Station A is the upstream station. It consists of a single machine, with a natural process time 10 minutes per job, and a natural coefficient of variation co = 0.5. The machine is subjected to both random failure and scheduled maintenance. Information regarding random failures is – the mean time to failure is 90 minutes, and the mean time to repair is 30 minutes. The standard deviation of repair time duration is 10 minutes. Information regarding scheduled maintenance is it processes 10 jobs between two consecutive re-setups. The average re-setup time is t, = 20 minutes with a coefficient of variation c, = 0.5. Station B is the downstream station. It consists of single machine. The machine has a natural process time = 20 minutes per job, and a natural coefficient of variation co 1. Also, the machine is subjected to random failures – the mean time to failure is 90 minutes, and the mean time to repair is 30 minutes. The standard deviation of repair time duration is 10 minutes. Jobs arrive at Station 1 at a mean inter-arrival time of 90 minutes, with a coefficient of variation ca = 1. We treat each station as a "G/G" type queuing system. Determine the following: (a) For each station: compute the average cycle time. (b) For the whole line: compute the average throughput and the average work-in-process. A two-station production line is used for making experimental vaccines. Station A is the upstream station. It consists of a single machine, with a natural process time 10 minutes per job, and a natural coefficient of variation co = 0.5. The machine is subjected to both random failure and scheduled maintenance. Information regarding random failures is – the mean time to failure is 90 minutes, and the mean time to repair is 30 minutes. The standard deviation of repair time duration is 10 minutes. Information regarding scheduled maintenance is it processes 10 jobs between two consecutive re-setups. The average re-setup time is t, = 20 minutes with a coefficient of variation c, = 0.5. Station B is the downstream station. It consists of single machine. The machine has a natural process time = 20 minutes per job, and a natural coefficient of variation co 1. Also, the machine is subjected to random failures – the mean time to failure is 90 minutes, and the mean time to repair is 30 minutes. The standard deviation of repair time duration is 10 minutes. Jobs arrive at Station 1 at a mean inter-arrival time of 90 minutes, with a coefficient of variation ca = 1. We treat each station as a "G/G" type queuing system. Determine the following: (a) For each station: compute the average cycle time. (b) For the whole line: compute the average throughput and the average work-in-process.

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a For station A Average cycle time 10 302 20 minutes For station B Average cycle time 20 302 25 ... View the full answer