A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. What is the cost of service for this new system?

A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. What is the cost of service for this new system?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 30P

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A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. What is the cost of waiting for this new system?
A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. What is the total cost of this new system?
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An operation uses 120 Kilos of a certain material each day. Material is transported in containers that hold 20 kilos each. The plant operates on an 8 hours/day. assume that the inefficient factor for 8 this operation is 0.25. If the manager wants to have the number of containers exactly 3 per day, what would be the cycle time for container of this machine operation in hours?
The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. The storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours the bin…
A cashier at a supermarket is able to deal with on average, 480 customers per 8 hour shift. Calculate the service rate?