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Haul Dirt Simulation II

Posted on July 28, 2021 by Abigail Stason

Problem 6.6) Simulate the hauling of dirt from the hill to the pit, using BOSS. Normal sized trucks take a mean of 15 minutes to load, normally distributed, with a sigma of 1 minute. It takes 30 minutes for them to travel from the hill to the pit (normally distributed), with a sigma of 1 minute. It takes them 3 minutes, distributed exponentially, to dump at the pit, and 22 minutes (normal) to return to the hill, with a sigma of 0.5 minutes. There are also BIG trucks available, each of which carries twice the load of a normal truck. It takes BIG trucks 30 minutes normally distributed with a sigma of 0.5 minutes to load, and 6 minutes distributed exponentially to unload at the pit. Travel times are the same as for the normal size trucks. There is one front end loader available, and one unloading position at the pit.

Normal trucks cost $200/day, including all costs including the driver, workman’s comp, insurance, fuel, etc. BIG trucks cost 50% more. You invoice the loads actually carried to the pit at $50 per normal load, $100 for a BIG load. Compute the daily profit from this operation, assuming that you put 3 normal trucks and 2 BIG trucks on the job. For this problem, run the simulation 5 times and report the average profit.

No hand solution required, or even practical.

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