c. utilization rate for the bin area.d. probability that there are more than three trucks in the system at any given timee. total daily cost to the farmers of having their trucks tied up in the unloading process. The wheat harvesting season in the American Mid-west is short, and most farmers deliver their truckloadsof wheat to a giant central storage bin within a 2-weekspan. Because of this, wheat-filled trucks waiting tounload and return to the fields have been known toback up for a block at the receiving bin. The central binis owned cooperatively, and it is to every farmer'sbenefit to make the unloading/storage process asefficient as possible. The cost of grain deteriorationcaused by unloading delays, the cost of truck rental,and idle driver time are significant concerns to thecooperative members. Although farmers have dif-ficulty quantifying crop damage, it is easy to assigna waiting and unloading cost for truck and driver of$18 per hour. The storage bin is open and operated16 hours per day, 7 days per week, during the harvestseason and is capable of unloading 35 trucks per houraccording to an exponential distribution. Full trucksarrive all day long (during the hours the bin is open)at a rate of about 30 per hour, following a Poissonpattern.To help the cooperative get a handle on theproblem of lost time while trucks are waiting in lineor unloading at the bin, find the

The utilization rate for the bin area is defined as the proportion of time that the system is busy,…

c. utilization rate for the bin area. d. probability that there are more than three trucks in the system at any given time e. total daily cost to the farmers of having their trucks tied up in the unloading process.

c. utilization rate for the bin area. d. probability that there are more than three trucks in the system at any given time e. total daily cost to the farmers of having their trucks tied up in the unloading process.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

c. utilization rate for the bin area.

d. probability that there are more than three trucks in the system at any given time

e. total daily cost to the farmers of having their trucks tied up in the unloading process.

The wheat harvesting season in the American Mid-
west is short, and most farmers deliver their truckloads
of wheat to a giant central storage bin within a 2-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 dif-
ficulty 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 is open)
at a rate of about 30 per hour, following a Poisson
pattern.
To help the cooperative get a handle on the
problem of lost time while trucks are waiting in line
or unloading at the bin, find the

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