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

Basic algebra, how to find absolute value of a number

how to find absolute value of a number

Programs to determine discrete fourier transform, A 12-point sequence is x ...

A 12-point sequence is x (n) defined as x(n) = { 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1}. Write MATLAB programs to (a) Determine the DFT X (k) of x(n) and plot (using stem function)

Determine the equation for the steady state output, A filter described by t...

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

Statistical analysis, please tell me the procedure of Anova two Way analysi...

please tell me the procedure of Anova two Way analysis in matlab?

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.

Illustration to logical function , Illustration to logical function: I...

Illustration to logical function: In addition to such logical operators, the MATLAB also has a function xor, that is the exclusive or function. It returns the logical true if

Refrigerant cycle, i want the MATLAB code for properties of refrigerant R13...

i want the MATLAB code for properties of refrigerant R134a, Pentane and VCR Refrigeration cycle. Thanks

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

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