For a paced transfer line with 3 machines and without buffer…

For a paced transfer line with 3 machines and without buffer, if each machine fails on average every 10 cycles and average repair time is two cycles. What is the availability of the line? (Assume that the failure and repair time follows a geometric distribution).   

For a paced transfer line with 3 machines and two buffers as…

For a paced transfer line with 3 machines and two buffers as shown in the following figure, it sees 20 jobs arriving per day in steady state. The average work-in-process inventory level at each buffer (B1 and B2) is 40 jobs. Jobs can require anywhere from 4 to 10 operations and processing time per operation, and can take anywhere from 60 minutes to 3 hours. Machines may fail and require 4 hours to several days to repair. Assume each day has 8 effective working hours. On average, how long does it take a job to go through the line?

A manufacturing cell with Kanban control produces 16 differe…

A manufacturing cell with Kanban control produces 16 different types of cylindrical metal rods that are used in several assembly cells spread across a 1,000,000 sq. ft. complex consisting of four buildings.  One particular rod (A3416) is used by three different assembly cells for a consistent total demand rate of 60 rods per hour.  The rods are moved in containers that hold 5 rods.  It typically takes 5 hours to replenish a container of rods but that time varies by up to 20%. How many kanbans should be used for the production of rod (A3416)?