Formulate the appropriate lp model

Assignment Help MATLAB Programming
Reference no: EM131069602 , Length: 1

Exercise:- (Wagner) 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 runoff into the reservoirs, but we will suppose that runoff 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.)

Reference no: EM131069602

Questions Cloud

More defect makes the entire nail defective : Define Measures Practic 1)  Ten nails produced.  Each one has five ways it can be defective. One or more defect makes the entire nail defective.
Automobile cost in euros : Assuming that the euro-U.S Dollar exchange rate is 0.9. If a German buys an American automobile for $30,000, then what would the automobile cost in Euros? What would the automobile cost if the dollar depreciated by 20 percent?
Calculate the total cost of the shares : A business woman bought 15,000 Ordinary Shares (nominal value £4.50) at 480 pence each. She paid a broker commission of 0.25% of the nominal value. Calculate the total cost of the shares including commission.
Calculate the percentage of the cost : A factory owner buys a tractor and a lorry. A tractor costs £1,060,000 and is estimated to have a life of 4 years and a scrap value of £20,000. Using the equal installment method
Formulate the appropriate lp model : MODELING WITH LINEAR PROGRAMMING - Formulate an LP model for this production and distribution problem and formulate the appropriate LP model.
What is the fw of this investment : What is the discounted payback period for this investment? % discounted rate solved example
Roles of external economies and knowledge : Discuss the roles of external economies and knowledge spillovers in shaping comparative advantage and international trade patterns. Introduction, literature survey, theoretical framework, suggested implications and conclusion.
Calculate the pilling-bedworth ratio for the formation of a1 : compare the efficacy of oxide-induced crack closure for aluminum alloys with that for steels solely on the basis of the volume of oxide produced on the fatigue fracture surface.
Describe why these factor are important in formation of soil : Investigate two ways in which water shortages, erosion, water diversion, floods or contamination of a water resource, or other water processes have affected human history. How did humankind meet the challenges of the impacts?

Reviews

Write a Review

MATLAB Programming Questions & Answers

  Finite difference method

Use the finite difference method to calculate the temperature at the point specified since it is easier.

  Determine the necessary shell temperature

In a shell-and-tube heat exchanger, one fluid passes through a central tube while another fluid flows through an outer shell in the opposite direction. The purpose is to heat the fluid passing through the central tube.

  Find the integral of a function at an arbitrary location

Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule

  Compute the speed of single-stage planetary gear train

Write a MATLAB function [speed] = planetary (N, emesh, first, last, arm) that computes the speed of a given link in a single-stage planetary gear train.

  Calculate and plot the error in the numerical derivative

Write a program to calculate and plot the error in the numerical estimate of the derivative.

  Create the graph using matlab functions

Create the graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and the sine function in the third interval.

  Develop a simulation program

Develop a simulation program

  Create a vector in matlab

Create a three dimensional diagram of function.

  Open a named pipe and to read data from the pipe

Open a named pipe and to read data from the pipe in matlab

  Write the commands that will create the matrix

Write the commands that will create the matrix.

  Lagrange interpolating polynomial of degree

Lagrange interpolating polynomial of degree

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