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

Tuning Fractional PID using GA and PSO algorithm, my project is on load fre...

my project is on load frequency control using FPID tuned using GA and PSO algorithm.the system is a two area system.

Phase equilibrium, Do you have expert who can solve chemical engineering th...

Do you have expert who can solve chemical engineering thermodynamics chemical equilibrium MATLAB coding?

Write a program to calculates the standard deviation, Write a program that ...

Write a program that reads in numbers (of type double) from a file, stores them in an array, and then calculates the mean, variance, and standard deviation.   Your program shoul

Calculate the signal-to-noise ratio, Use the MATLAB randn function to gener...

Use the MATLAB randn function to generate 1000 points for x. Generate the output of the unknown system with the ?lter function and b=[1232 1] and a=[1]. Normalise the ?lter output

What are the matlab system parts, The MATLAB system having of five main par...

The MATLAB system having of five main parts: * Handle Graphics. * The MATLAB working environment. * The MATLAB language. * The MATLAB mathematical function library.

Algorithms, Algorithms: Before writing any computer program, it is ver...

Algorithms: Before writing any computer program, it is very useful to first outline the steps which will be essential. An algorithm is the series of steps required to solve a

Produce a random real number, Produce a random real number: To produce...

Produce a random real number: To produce a random real number in the range from low to high, at first create the variables low and high. And then, use the expression rand*(hig

Order of precedence - operator, Order of precedence: As with the numer...

Order of precedence: As with the numerical operators, it is significant to know that the operator precedence rules. Table below shows the rules for the operators which  have b

Linear indexing, Linear indexing: This is termed as linear indexing. I...

Linear indexing: This is termed as linear indexing. It is generally much better style when working with the matrices to refer to the row and column indices, although. An in

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