1 A semiconductor company uses four robots in the manufacture of circuit boards. The robots break downperiodically, and the company has two additional spare robots to immediately replace a damaged robot. Moreover, there aretwo repairmen to service a broken robot. When a robot is repaired, if less than four robots are working, it is returned to themanufacturing floor; otherwise it is sent to the spare room. The time between breakdowns is exponentially distributed with amean of 14 days. The repair time is also exponentially distributed with a mean of 3.6 days.Nicely draw the rate diagram for this queueing system; clearly indicate all the states of the system and the numericalvalues of the arrival and service rates for each state.Compute:1) The probability that there are 4 functioning robots on the manufacturing floor.2) The expected downtime time (in days) of a robot that requires repair.3) The average utilization of the repairmen.

Answered: Nicely draw the rate diagram for this…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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