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

Find the distribution of data with matlab, how to make a histogram of data,...

how to make a histogram of data, example x=[5 6 3 2 5] and then find the distribution

Generates sin or cos wave using plot functions, Generates sin or cos wave u...

Generates sin or cos wave using plot functions: The script generates an x vector; iterating through all the values from 0 to 2*π in steps of 2*π /40 gives sufficient points to

Example of referring elements, Example of Referring elements: the vect...

Example of Referring elements: the vector can also be extended. For illustration, the following generates a vector which has three elements. And then referring to the fourth e

Plot the poles and zeros of the filter using zplane, A filter described by ...

A filter described by the equation:    y(n) = x(n) + x(n-1) + 0.9 y(n-1) - 0.81 y(n-2) (a) Find the transfer function H(z) for the filter and find the poles and zeros of the fil

Size function - dimensions of matrix, Size function - Dimensions of matrix:...

Size function - Dimensions of matrix: For the matrix mat shown next, it has three rows and two columns, therefore the size is 3 × 2. The length is the larger dimension that is

Write a matlab program to calculate and store, Problem of a projectile bein...

Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follo

Kidney, MATLAB. • MATLAB Programming; • Simulation in MATLAB.

MATLAB. • MATLAB Programming; • Simulation in MATLAB.

Variable number of input arguments - function, Variable number of input arg...

Variable number of input arguments: For illustration, the below function areafori has a variable number of input arguments, either the 1 or 2. The name of the function stands

Determine the ball temperature , In the manufacturing of ball bearings, the...

In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or "quenching" by submersion in an oil or

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