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

Calculate three natural frequencies of the system, A three degree of freedo...

A three degree of freedom system is shown in Figure.  The three masses are each 1 kg and are constrained to move in the directions shown.   The three stiffnesses are   5 kN/m, 50 k

Quiz2, 2)''dbcont'' command for debugging is used to Select one: a. Cont...

2)''dbcont'' command for debugging is used to Select one: a. Continue normal code execution from the debug prompt. b. List all breakpoints. c. Execute (step) one or more lines

Code for programme, How do you write a programme that asks the user for a n...

How do you write a programme that asks the user for a number between 1 and 1000 and calculates the sum of its digits?

Constants, Constants: The variables are used to store values which can...

Constants: The variables are used to store values which can change, or that are not known ahead of the time. Most of languages also have the capacity to store constants that a

What are the matlab system parts, The MATLAB system having of five main par...

The MATLAB system having of five main parts: * Handle Graphics. * The MATLAB working environment. * The MATLAB language. * The MATLAB mathematical function library.

Illustration of script, Illustration of script: For illustration, we w...

Illustration of script: For illustration, we will now generate a script known as script1.m which calculates area of the circle. It assigns a value for the radius, and then com

Variable number of output arguments - function, Variable number of output a...

Variable number of output arguments: The variable number of output arguments can also be identified. For illustration, the one input argument is passed to the below function t

Find the total per phase inductance and per phase shunt, A 300 km, 3-phase,...

A 300 km, 3-phase, 50Hz transmission line has spacing as shown in Figure 2. Each phase of the line consists of a bundle of three conductors.  (a) Find the total per-phase induct

planar pantograph-based leg, The diagram shown on the next page represents...

The diagram shown on the next page represents a planar pantograph-based leg for a walking robot. This model utilizes only one DOF to generate the walking gait at the foot link 'n

Error, what is an error and its types

what is an error and its types

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