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Jobs arrive to a two-station serial line at a rate of five jobs per hour with deterministic inter-arrival times. Station 1 has one machine, which requires exactly 20 minutes to process a job. Station 2 has one machine which requires exactly 15 minutes to process a job, provided it is up, but is subject to failures where the mean time to failure is 9 hours and the mean time to repair is one hour.

a) What is the total cycle time at workstation 2 (assume no move batching between two stations)?

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b) Assume we have move batching between two stations. In other words, the second workstation receives batches and puts out individual parts. What is the total cycle time of the system with a batch size k=5?

c) How can we improve this system (i.e. how can we reduce CT and WIP or increase TH)?

d) Suppose we have moderate variability in workstation 1, i.e. V =(𝑐𝑎 2 +𝑐𝑒 2)/2= 1. What is the total cycle time in the system with a batch size k=5?

e) Show that CT increases proportionally with batch size (provide a plot).

f) How can we improve this system with moderate variability in workstation 1? recognizes that students often encounter challenging assignments that may be beyond their current skill level or require more time than they can spare due to their busy schedules. The platform steps in to provide valuable academic support by offering assistance with a wide range of assignments. Whether it’s a complex research paper, a challenging math problem set, or a literary analysis, ensures that students receive the guidance they need to excel. Every student is unique, and so are their academic needs. recognizes this and offers customized solutions. Students can communicate directly with their assigned writers, providing specific instructions and guidelines. This personal touch ensures that each assignment reflects the student’s individual style and preferences. Meeting deadlines is a critical aspect of academic success. understands this and prioritizes punctuality. The platform is known for its ability to deliver assignments promptly, even when facing tight schedules. This reliability allows students to submit their work on time, relieving them of the stress associated with late submissions.

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