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

Program for combination of dynamic memory allocation, This assignment deals...

This assignment deals with the combination of dynamic memory allocation and structures to create a common data structure known as a doubly-linked list, which is shown in Figure 1.

Find the time domain equivalent sinusoid of phasor, 1. Given these sinusoid...

1. Given these sinusoids: x 1 (t) = 0.5cos(25t+20°),   x 2 (t)=0.85cos(25t+160°) and   x 3 (t)= 0.81cos(25t-145°) (a)  Subplot the phasors X 1 , X 2 and X 3 corresponding t

Print the day of the week, how to write a program to determine the day of ...

how to write a program to determine the day of the week. using GUI.

Format command, Format command: The format command can be used to cont...

Format command: The format command can be used to control the spacing between the MATLAB command or expression and the outcome; it can be either compact or loose. >> format

Notion of permutation, what are the difference between a.linear permutati...

what are the difference between a.linear permutation b.circular permutation

Write a program to calculates the standard deviation, Write a program that ...

Write a program that reads in numbers (of type double) from a file, stores them in an array, and then calculates the mean, variance, and standard deviation.   Your program shoul

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

Write a matlab program, Write a MATLAB program (using/making the necessary ...

Write a MATLAB program (using/making the necessary functions that you deem necessary) that does the two following jobs: It generates the following digital modulation schemes. In

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