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

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

Phase equilibrium, Do you have expert who can solve chemical engineering th...

Do you have expert who can solve chemical engineering thermodynamics chemical equilibrium MATLAB coding?

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

MATLAB. • MATLAB Programming; • Simulation in MATLAB.

Calculate the distance between the two cars, Two cars started to move from ...

Two cars started to move from zero position with (φ = 35) as shown. For the next four minutes, do the following: 1. Calculate each car's distance from the zero position (Distanc

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

Solve the system of linear equations - matlab, Problem 1.  Use Matlab to so...

Problem 1.  Use Matlab to solve the following system of linear equations: 2x + y + 3z = 1 2x + 6y + 8z = 3 6x + 8y + 18z = 5 Capture Matlab code and the result in a text fi

#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#

Kurtosis, please send the matlab program to find mean,variance,standard dev...

please send the matlab program to find mean,variance,standard deviation and kurtosis for a set of values?

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