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

Digging the dirt - autonomous mining robots , Digging the Dirt: Autonomous...

Digging the Dirt: Autonomous Mining Robots   Mining is a multi-billion dollar industry and a critical part of the Australian economy. Much of the day-to-day work on mining sites

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

Illustration of output statements, Illustration of Output statements: ...

Illustration of Output statements: For illustration, >> disp('Hello') Hello >> disp(4^3)   64 The formatted output can be printed to the screen by using the fpr

#title.s.tudent, AApproximate the number to the hundredth, ten-thousandths,...

AApproximate the number to the hundredth, ten-thousandths, and one-hundredmillionth.sk question #Minimum 100 words accepted#

Compute the moments, Show (turn in) similar output images as in part 2 for ...

Show (turn in) similar output images as in part 2 for each of your new images (there is only 1 connected component in this case). Write three functions which compute the moments, c

Matlab to produce numerical and analytical solutions, This assignment is mo...

This assignment is motivated by the use of flybys of planets / moons in spacecraft missions to alter a spacecraft's trajectory (flight path). Planetary flybys can be used to not on

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

Example code in matlab programming, clear clc %% DATA INPUT filena...

clear clc %% DATA INPUT filename = input('Enter file name, including its extension: ', 's'); D = load(filename); %or load('Mphi.out'); %% %Trendline %Evaluates

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