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

EMG, How to make EMG analysis by Matlab?

How to make EMG analysis by Matlab?

Random numbers, Random numbers: Whenever a program is being written to...

Random numbers: Whenever a program is being written to work with a data, and the data is not yet available, it is frequently useful to test the program first by initializing t

Function program, write a function program to compute a standard deviation ...

write a function program to compute a standard deviation of a number

Find the boundary between equations , Find the boundary between each two of...

Find the boundary between each two of the equations P1, P2, P3 by solving: P1 = P2  ,  P1 = P3  ,  P2 = P3 Plot the boundary lines on a single figure that also includes the

Functions with local variables, Functions with Local Variables: The fu...

Functions with Local Variables: The functions we have seen faraway have been very easy. Though, in many situations the computations in a function are more complex, and may nee

Create matlab graphs of data properly annotated, A. Introduction The p...

A. Introduction The project consists of two parts. In the first part you are asked to perform some preliminary calculation and plotting, and to write the introduction for your

Power generating capability, a. Run the simulation you developed for 10 one...

a. Run the simulation you developed for 10 one-day periods. Provide a table of the Peak Power required for each day. b. Based on this information, and the fact additional capaci

Hold and legend function - plot functions, Hold and legend function: ...

Hold and legend function: hold: is a toggle which freezes the present graph in the figure window, so that the new plots will be superimposed on the present one. Just hold

Matlab code to run simulations of a batch reactor , Background Protein ther...

Background Protein therapeutics are a major component of the biotechnology industry, with sales estimated in the range of ~$99bn annually (2011) and steady market growth. Many phar

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