The Worthington Gear Company installed a bank of 10 robots about three years ago. The robots greatly in-creased the firm’s labor productivity, but recently attention has focused on maintenance. The firm does no pre-ventive maintenance on the robots because of the variability in the breakdown distribution. Each machine hasan exponential breakdown (or interarrival) distribution with an average time between failures of 200 hours. Eachmachine hour lost to downtime costs $30, which means that the firm has to react quickly to machine failure.The firm employs one maintenance person, who needs 10 hours on average to fix a robot. Actual maintenancetimes are exponentially distributed. The wage rate is $10 per hour for the maintenance person, who can be putto work productively elsewhere when not fixing robots. Determine the daily cost of labor and robot downtime.

The Worthington Gear Company installed a bank of 10 robots about three years ago. The robots greatly in-creased the firm’s labor productivity, but recently attention has focused on maintenance. The firm does no pre-ventive maintenance on the robots because of the variability in the breakdown distribution. Each machine hasan exponential breakdown (or interarrival) distribution with an average time between failures of 200 hours. Eachmachine hour lost to downtime costs $30, which means that the firm has to react quickly to machine failure.The firm employs one maintenance person, who needs 10 hours on average to fix a robot. Actual maintenancetimes are exponentially distributed. The wage rate is $10 per hour for the maintenance person, who can be putto work productively elsewhere when not fixing robots. Determine the daily cost of labor and robot downtime.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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