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Problem 6.1

Posted on July 28, 2021 by Abigail Stason

A trucking firm has the job of hauling dirt from a hill to a pit. The job will take about a year to complete. Times involved in loading, hauling, dumping the dirt and returning are as follows:

 

Small truck information:

Time to load = normal distribution, 5 minutes mean, 2 minutes sigma.

Time to travel to pit = uniform distribution from 20 to 30 minutes

Time to unload = 2 minutes exponential distribution

Time to return to hill from pit = normal distribution, 15 minutes mean, 3 minutes sigma

Capacity = 50 cy

Random numbers to be used: 0.87, 0.41, 0.94, 0.47, 0.67, 0.32, 0.65, 0.62, in that order, as needed.

Large truck information:

Time to load = normal distribution, 10 minutes mean, 3 minutes sigma.

Time to travel to pit = uniform distribution from 30 to 40 minutes

Time to unload = 3 minutes exponential distribution

Time to return to hill from pit = normal distribution, 10 minutes mean, 8 minutes sigma

Capacity = 100 cy

Random numbers to be used: 0.12, 0.16, 0.45, 0.34, 0.31, 0.65, 0.36, 0.12, in that order, as needed.

 

There is only one front end loader available to load the trucks, and only one unloading position is available at the pit. Perform a hand simulation to study the behavior of this engineering system. At the beginning of the day the small truck has arrived before the large truck. Study the system until both trucks have made one trip to the Pit, and have returned to the Hill, utilizing the BOSS Hand Solution Table to organize your solution.

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