This type of problem is known as distribution or transportation problem in which the key idea is to minimize the cost or the time of transportation. In previous lessons we have considered a number of specific linear programming problems. Transportation problems are also linear programming problems and can be solved by simplex method but because of practical significance the transportation problems are of special interest and it is tedious to solve them through simplex method. Is there any alternative
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plan: The chicken food type should contribute at most 25% of the total calories intake that will result from the diet plan. The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins. Provide a linear programming formulation for the above case. (No need to solve the problem.) Element | Milk | Chicken | Bread | Vegetables | Calories (X1) | 160 | 25% * 210 | 120 | 150 | Carbohydrates (X2) | 110 | 130 | 110 | 120 | Protein (X3) | 90 | 190 | 90
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LINEAR ALGEBRA Paul Dawkins Linear Algebra Table of Contents Preface............................................................................................................................................. ii Outline............................................................................................................................................ iii Systems of Equations and Matrices.............................................................................................
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Research 153 (2004) 117–135 www.elsevier.com/locate/dsw An integer programming formulation for a case study in university timetabling S. Daskalaki b a‚* ‚ T. Birbas b‚ E. Housos b a Department of Engineering Sciences‚ University of Patras‚ GR-26500 Rio Patras‚ Greece Department of Electrical and Computer Engineering‚ University of Patras‚ GR-26500 Rio Patras‚ Greece Abstract A novel 0–1 integer programming formulation of the university timetabling problem is presented. The model
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2014/9/16 Linear Equations Ad Options Ads by Vidx Linear Equations A linear equation is an equation for a straight line These are all linear equations: y = 2x+1 5x = 6+3y y/2 = 3 x Let us look more closely at one example: Example: y = 2x+1 is a linear equation: The graph of y = 2x+1 is a straight line When x increases‚ y increases twice as fast‚ hence 2x When x is 0‚ y is already 1. Hence +1 is also needed So: y = 2x + 1 Here are some example values: http://www.mathsisfun.com/algebra/linear-equations
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TO: Board of Directors‚ Linear Technologies FROM: Mr. Paul Coghlan CFO‚ Linear Technologies RE: Dividend Policy Summary: Based on the financials to date and the forward looking capital investments required Linear should increase their dividend payout by $0.01 per share. Entering the fourth quarter of 2003 the market seems to show continued signs of improvement. The company has shown steady growth and revenues are forecasted to exceed 2002’s by 19%. The forecast shows net income coming in
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Life Isn’t Multiple Choice Were you ever forced into taking a standardized test? If so‚ you are aware of all the test preparation you have to go through and all of the pressure you feel. “Standardized tests are tests in which all the questions‚ format‚ instructions‚ scoring and reporting of scores are the same for all test takers‚” (Standardized Tests: Terms and Definitions‚ 1). There is a lot of controversy and questions being asked pertaining to the tests because many teachers‚ students‚ and parents
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Linear Functions There are three different ways to write linear functions. They are slope-intercept‚ point-slope‚ and standard form. There are certain situations where it is better to use one way than another to solve a problem. It is important to understand and comprehend the mechanics of these three forms so that you know what form to use when solving a problem. The first form‚ point-slope‚ is written as y-y1=m(x-x1). M is the slope and x1 and y1 correspond to a point on the line. It’s good to
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GENETIC PROGRAMMING: AN INTRODUCTION AND SURVEY OF APPLICATIONS M.J. Willis*‚ H.G Hiden*‚ P. Marenbach+‚ B. McKay* and G.A. Montague* * Symbolic Optimisation Research Group (SORG) Dept. of Chemical and Process Engineering University of Newcastle upon Tyne NE1 7RU‚ UK + Institute of Control Engineering Darmstadt University of Technology Landgraf-Georg-Strasse 4 D-64283 Darmstadt‚ Germany {Mark.Willis‚ H.G.Hiden‚ Ben.McKay‚ Gary.Montague} @ncl.ac.uk http://lorien.ncl.ac.uk/sorg mali@rt.e-technik
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R for Programmers Norman Matloff University of California‚ Davis c 2007-8‚ N. Matloff December 4‚ 2008 IMPORTANT NOTICE: This document is no longer being maintained. My book on R programming‚ The Art of R Programming‚ is due out in August 2011. You are welcome to use an early draft at http://heather.cs.ucdavis.edu/˜matloff/132/NSPpart.pdf; it was about 50% complete and contains bugs‚ but should be useful. Licensing: This work‚ dated December 4‚ 2008‚ is licensed under a Creative Commons Attribution-No
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