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

Matlab function for smallest three eigenvalues, Write a matlab function tha...

Write a matlab function that calls eig and generates an estimate of the smallest three eigenvalues and associated eigenfunctions of the negative Laplacian operator on ?. (Hint: thi

Control system, 1. Design a suitable phase-lead controller. You should expl...

1. Design a suitable phase-lead controller. You should explain in detail how your design has been developed. Your solution should include Bode plots constructed both manually and

Find the right hand side of the interpolation system, function y=tps(r) % ...

function y=tps(r) % This is the thin-plate spline if r  y=0; else  y=r^2*log(r); end function y=fun(point) % my target function x=point(1); z=point(2); y=7-4*x^2+z^3;

Operator precedence rules, Operator Precedence Rules: A few operators ...

Operator Precedence Rules: A few operators have precedence over the others. For illustration, in the expression 4 + 5 * 3, the multiplication takes the precedence over additio

Matlab programming vector algebra, Matlab Programming Vector Algebra : Crea...

Matlab Programming Vector Algebra : Create a program package for calculation of distances and intersections of lines and planes. Plot the results in a graphical representation

Design of controller, Design a controller which regulates flow and compensa...

Design a controller which regulates flow and compensate pressure to my desire value in simscape.

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

Expand a matrix, Expand a matrix: To expand a matrix, an individual el...

Expand a matrix: To expand a matrix, an individual element could not be added as that would mean there would no longer be the similar number of values in every row. Though,

Write a matlab program, Write a MATLAB program that calculates the arithmet...

Write a MATLAB program that calculates the arithmetic mean, the geometric mean, and the root-mean-square average for a given set of values. Your program must use 3 functions t

Show the output - algorithms, Show the output - algorithms: Where does...

Show the output - algorithms: Where does the output go? The two possibilities are (i) to an external file, or (ii) to a window on the screen. Based on system, one of these wil

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