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
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman