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 code using ant colony algorithm, Ant Colony Optimization for Optimiz...

Ant Colony Optimization for Optimization of Route path taken Ant Colony Algorithm is a potential candidate for coupled, 3D optimisation. Ant Colony Algorithm enjoys the overall

Iterative root fi nding method, The secant method is an iterative root ndi...

The secant method is an iterative root nding method that is super-linear. The method has the advantage that it is faster than linear methods and does not require knowledge of the

Function definitions, Function definitions: There are various ways to ...

Function definitions: There are various ways to organize the scripts and functions, but for now every function which we write will be stored in a separate M-file, that is why

Illustrations of calling the function, Illustrations of calling the functio...

Illustrations of calling the function: Here are illustrations of calling the function: >> cylcost(32,73,4.50) ans = 661.5000 >> fprintf('The cost would be $%.2f\n'

Calling a function, Calling a Function: Here is an illustration of the...

Calling a Function: Here is an illustration of the call to this function in which value returned is stored in the default variable ans: >> calcarea(4) ans = 50.2655

Equations of motion of shaft-rotor system, Consider the shaft-rotor system ...

Consider the shaft-rotor system shown in Figure. Write down the equations of motion. Taking  I= 1 kgm 2 and k=10 kNm/rad, for two special cases (α =0.5 and α = 1000) find as many

Reading from a file, Reading from a File: A file has been once created...

Reading from a File: A file has been once created; it can be read into a matrix variable. When the file is a data file, the load function will read from the file filename.ext

Rules for variable names, Rules for variable names: In addition, the v...

Rules for variable names: In addition, the variable names must always be mnemonic that means they should make some sense. For illustration, if the variable is storing the radi

Root ?nding using the bisection method, In many applications, including ?na...

In many applications, including ?nancial mathematics, ?nding zeros of a function f(x) = 0 (4) is paramount. One of the simplest method is the Bisection Method. The bisection

Visual cryptography, how to implement 3 out of 4 visual cryptography?

how to implement 3 out of 4 visual cryptography?

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