Linear Programming, MATLAB Programming

Assignment Help:
Ft. Loudoun and Watts Bar are two large hydroelectric dams, the former
upstream of the latter. The level of Watts Bar Lake must be kept within limits for recreational
purposes, and the problem is to plan releases from Ft. Loudoun to do so. In reality this problem
is solved simultaneously for numerous dams covering an entire watershed, but we focus on a single
reservoir. There are also sophisticated models for predicting runo into the reservoirs, but we
will suppose that runo is negligible. Thus any water entering Watts Bar Lake must be released
through Ft. Loudoun Dam.
The planning period is 20 months. During month t, let xt be the average water level of Watts
Bar Lake before augmentation by water from Ft. Loudoun; x1 = 25. Let yt be the number of
feet added to the average level in month t from Ft. Loudoun. Lt and Ut are the lower and upper
bounds on the lake level in month t (more restrictive in summer). To model seepage, evaporation
and hydroelectric release through Watts Bar Dam we suppose that Watts Bar Lake begins month
t+1 at a level equal to .75 times the average level of the previous month (including the augmentation
from Ft. Loudoun). The cost of water from Ft. Loudoun Lake is ct for every foot added to the
level of Watts Bar. Formulate the appropriate LP model. (In reality the model is a huge nonlinear
program.)

Related Discussions:- Linear Programming

3-A-Day, Savannah says that the least common multiple of 4 and 6 is 24. Is ...

Savannah says that the least common multiple of 4 and 6 is 24. Is she right or what is her mistake?

Portfolio selection problem, An individual with $10,000 to invest has ident...

An individual with $10,000 to invest has identi?ed three mutual funds as attractive opportunities. Over the last ?ve years, dividend payments (in cents per dollar invested) have be

Common form of a function definition, Common form of a function definition:...

Common form of a function definition: The common form of a function definition for a function which computes and returns one value looks like this: For illustration, t

Write a script file which will determine the displacement, The mass of the ...

The mass of the spring-mass-damper system shown below was initially displaced by 1 meter to the right and then released. The subsequent acceleration of the mass was measured using

2 dimensional finite element analysis, i need matlab code on 2 dimensional...

i need matlab code on 2 dimensional analysis of temperature distribution in steel using finite element method

Implement the physat algorithm, Your task is to implement the PHYSAT algor...

Your task is to implement the PHYSAT algorithm in Matlab to classify the phytoplankton species in the data you have selected. An algorithm demonstrating one solution is provided b

Matlab cubic eqn, how can i model this eqn: solve n plot x vs v x^3-2x^2+x...

how can i model this eqn: solve n plot x vs v x^3-2x^2+x=v^2(.532*10^-3) by putting v=0 to 20 and find the change in x

Rungakuta methord, the basic equation of modeling radioactive decay is wher...

the basic equation of modeling radioactive decay is where the amount of the radioactive substance is at time and is the decay rate. Some radioactive substances decay into other rad

Basic algebra, how to find absolute value of a number

how to find absolute value of a number

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd