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

Diode modelling, how to model a diode in matlab given data

how to model a diode in matlab given data

Calculate the mean-mode and median, You are given data similar to the examp...

You are given data similar to the examples and sample problems in the statistics topic. Write MATLAB program to do the following: 1. Plot histogram, relative frequency histogram

Expert system, how can i write a programm about maze solver expert system o...

how can i write a programm about maze solver expert system only with if & then

Program for add sinusoid with frequency, Job: Add sinusoid with frequency 1...

Job: Add sinusoid with frequency 1000 Hz and amplitude 100 to the one generated in Job 1 (: Create a function using mat lab to generate a sinusoidal signal. The parameters of the s

Analytical solution and numerical solution, using 0de 45 how can i get the ...

using 0de 45 how can i get the anlytical and numerical solutions for an equation,,

Write m-function that computes simple returns as formula, Your Task: Write ...

Your Task: Write an M-function that computes simple returns as formula (1). Use this function to calculate the daily returns for each index. Using MATLAB build-in functions estimat

Illustration of a conditional loop, Illustration of a conditional loop - Wh...

Illustration of a conditional loop - While loop: As an illustration of a conditional loop, we will write a function which will find the first factorial which is greater than t

Solve a programming problem, Write a function rid_multiple_blanks that will...

Write a function rid_multiple_blanks that will receive a string as an input argument. The string contains a sentence that may have multiple blank spaces in between some of the word

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