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

Program to find the minimum total cost for the fence, A fence enclosure con...

A fence enclosure consists of a rectangle of length L and width 2 R , and a semicircle of radius R , as shown in Figure 1. The enclosure is to be built to have an area of 1600 m

Matrix, if i have a 3x2 double.. how can i run a for loop for this matrix s...

if i have a 3x2 double.. how can i run a for loop for this matrix so tht it can subtracted values of he adjacent neighbors?

Develop a matlab program to design algorithm, Write a pseudo-code showing t...

Write a pseudo-code showing the list of steps to take for solving the given problem. In this process, you should identify the functions that are to be used in the program. Develop

National log, how to write the national log (ln(x)) in matlap ?

how to write the national log (ln(x)) in matlap ?

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

Efficient method, The Efficient Method: Though, in MATLAB, there is an...

The Efficient Method: Though, in MATLAB, there is another built-in function which specifically produces random integers, i.e. randint. Calling the function with randint (1,1,n

Ray tracing equations, i want to write a program in mat lab for optimizing ...

i want to write a program in mat lab for optimizing the design of lens help me how could i i am new user of matlab but previously i have work on C++.

Illustration of built-in functions and help , Illustration of Built-in func...

Illustration of Built-in functions and help: To find out what a specific function does and how to call it, type help and then the name of function. Illustration: >> help si

Calculate three natural frequencies of the system, A three degree of freedo...

A three degree of freedom system is shown in Figure.  The three masses are each 1 kg and are constrained to move in the directions shown.   The three stiffnesses are   5 kN/m, 50 k

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