European Journal of Operational 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
Premium Optimization Operations research
Integer Programming 9 The linear-programming models that have been discussed thus far all have been continuous‚ in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. For instance‚ we might 3 easily produce 102 4 gallons of a divisible good such as wine. It also might be reasonable to accept a solution 1 giving an hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation
Premium Optimization Linear programming Operations research
Chapter 3 FORMULATING GOAL PROGRAMMING MODEL..………………………... | 10 | | | 3.1 WHAT IS GOAL PROGRAMMING?………………………………………………. | 10 | 3.2 ASSUMPTIONS………………………………………………….………………….. | 10 | 3.3 COMPONENTS………………………………………..……………………………. | 11 | 3.3.1 GOAL CONSTRAINTS………………………………………………… | 11 | 3.3.2 OBJECTIVE FUNCTION……………………………………………… | 11 | 3.3.3 GOAL PROGRAMMING TERMS……………………………………. | 12 | 3.3.4 GOAL PROGRAMMING CONTRAINTS……………………………. | 12 | 3.4 GOAL PROGRAMMING STEPS…………………………………………………..
Premium Management Strategic management Marketing
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
Premium Object-oriented programming Ring
This is an Engineering Research Paper. What is operations research? Operations research is the application of the methods of science to complex problems arising in the direction and management of large systems of men‚ machines material‚ and money in industry‚ business‚ government and defense. The distinctive approach is to develop a scientific model of the system‚ incorporating measurements of factors such as chance and risk‚ with which to predict and compare the outcomes of alternative decisions
Premium Road Highway Road transport
LINEAR ALGEBRA Paul Dawkins Linear Algebra Table of Contents Preface............................................................................................................................................. ii Outline............................................................................................................................................ iii Systems of Equations and Matrices.............................................................................................
Premium Linear algebra
Problem 4. (25 Points) Solve the following problem graphically (Please be neat). Draw the polytope on the x-y coordinate system (can be done either by hand or computer). Show all intersection of the polytope and identify the point (x‚y coordinate) where the objective function is maximized and provide that value. Maximize Z = 3x1 + 2x2 Subject to: 1x1 + 1x2 ≤ 10 8x1 + 1x2 ≤ 24 and x1‚ x2 ≥ 0 Solution : Point (a) is the origin (0‚0) where Z(a) = 3*0 + 2*0 = 0 Point (b) is the
Premium Linear programming Spreadsheet Capacity utilization
Linear-Regression Analysis Introduction Whitner Autoplex located in Raytown‚ Missouri‚ is one of the AutoUSA dealerships. Whitner Autoplex includes Pontiac‚ GMC‚ and Buick franchises as well as a BMW store. Using data found on the AutoUSA website‚ Team D will use Linear Regression Analysis to determine whether the purchase price of a vehicle purchased from Whitner Autoplex increases as the age of the consumer purchasing the vehicle increases. The data set provided information about the purchasing
Premium Statistics Statistical hypothesis testing Linear regression
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
Premium Dividend yield Cash flow Dividend
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
Premium Elementary algebra Derivative