LP (2003) 1 OPERATIONS RESEARCH: 343 1. LINEAR PROGRAMMING 2. INTEGER PROGRAMMING 3. GAMES Books: Ð3Ñ IntroÞ to OR ÐF.Hillier & J. LiebermanÑ; Ð33Ñ OR ÐH. TahaÑ; Ð333Ñ IntroÞ to Mathematical Prog ÐF.Hillier & J. LiebermanÑ; Ð3@Ñ IntroÞ to OR ÐJ.Eckert & M. KupferschmidÑÞ LP (2003) 2 LINEAR PROGRAMMING (LP) LP is an optimal decision making tool in which the objective is a linear function and the constraints on the decision problem are linear equalities and inequalities. It is a very
Premium Optimization Linear programming
Reviewer for MANSCIE 1. Introduction to Quantitative Analysis Approach Quantitative Analysis involves the use of mathematical equations or relationships in analyzing a particular problem. Steps in Quantitative Analysis Approach 1. Define the problem 2. Develop a model 3. Acquire input data 4. Develop a solution 5. Test the solution 6. Analyze the results 7. Implement the results 2. Decision Theory Six steps in decision making 1. Define the problem 2. List possible alternatives 3. Identify possible
Premium Decision theory Linear programming Optimization
UNIVERSITY OF WATERLOO CO370/CM443: Deterministic OR Models Midterm Examination – FALL TERM 2011 Thursday‚ October 20‚ 2011‚ 7-9 PM (conflict time 4:45-6:45 PM) CLOSED BOOK Surname: First Name: Signature: ID#: INSTRUCTIONS: 1. Write your name and Student ID# in the blanks above. 2. There are five questions. Some questions may be longer or more difficult than others. Read all the questions first and budget your time appropriately for each question. 3. Answer each question in your solution booklet. Problem
Premium Linear programming Optimization Price
European Journal of Operational Research 217 (2012) 519–530 Contents lists available at SciVerse ScienceDirect European Journal of Operational Research journal homepage: www.elsevier.com/locate/ejor Production‚ Manufacturing and Logistics Optimizing system resilience: A facility protection model with recovery time Chaya Losada‚ M. Paola Scaparra ⇑‚ Jesse R. O’Hanley Kent Business School‚ University of Kent‚ CT2 7PE Canterbury‚ UK a r t i c l e i n f o Article history: Received
Premium Optimization
Unit 1 Lesson 9 : The Big M Method Learning outcomes • The Big M Method to solve a linear programming problem. In the previous discussions of the Simplex algorithm I have seen that the method must start with a basic feasible solution. In my examples so far‚ I have looked at problems that‚ when put into standard LP form‚ conveniently have an all slack starting solution. An all slack solution is only a possibility when all of the constraints in the problem have or = constraints‚ a starting basic
Premium Optimization Linear programming
MERTON TRUCK COMPANY 1) No. of Model 101= x‚ no. of model 102=y.Unit contribution/model= S.P – (Variable costs + Fixed cost).For Model 101‚ variable cost=36000 /unit‚For Model 102‚ variable cost=33000/unit.Fixed cost for both the model= 8600000 Therefore‚ total contribution z=39000x+38000y-36000x-33000y-8600000Z=3000x+5000y-8600000 The Constraints are:Engine assembly: x + 2y <= 4000Metal stamping: 2x + 2y <=6000Model 101 assembly: 2x <=5000Model 102 assembly: 3y <= 4500x‚y>=0.Solving
Premium Contribution margin Optimization Capacity utilization
Case Study: RED BRAND CANNERS Vice President of Operations Mr. Michell Gorden Controller Mr. William Copper Sale Manager Mr. Charles Myers Production Manager Mr. Dan Tucker Purpose: Decide the amount of tomato products to pack at this season. Tomato Products Whole Tomato Tomato Juice Tomato Paste Information: 1. Amount of Tomato: 3‚000‚000 pounds to be delivered. Tomato quality: 20% (grade A) × 3‚000‚000 = 600‚000 pounds 80% (grade B) × 3‚000‚000 = 2‚400‚000 pounds (provided by production
Premium Optimization Operations research Linear programming
Julia’s Food Booth. Parts A thru C. Please provide linear programming model‚ graphical solution‚ sensitivity report‚ and answers to questions A thru C. (Problem on page 2) [pic] [pic] A) Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth. Let‚ X1 =No of pizza slices‚ X2 =No of hot dogs‚ X3 = barbeque sandwiches Formulation: 1. Calculating Objective function co-efficients:
Premium Optimization Linear programming
Linear Programming Application Transportation Problem The Navy has 9‚000 pounds of material in Albany‚ Georgia that it wishes to ship to three installations: San Diego‚ Norfolk‚ and Pensacola. They require 4‚000‚ 2‚500‚ and 2‚500 pounds‚ respectively. Government regulations require equal distribution of shipping among the three carriers. The shipping costs per pound for truck‚ railroad‚ and airplane transit are shown below. Formulate and solve a linear program to determine the shipping
Premium Optimization Linear programming Operations research
The Unit Commitment Problem There exist several approaches to solve the common unit commitment problem. A very common solution is through dynamic programming as discussed in “Power Generation‚ Operation and Control” by Allen J. Wood and Bruce F. Wollenberg (Wood/Wollenberg). A more suitable and effective solution exist through Genetic Algorithm as discussed in the article “Unit Commitment Solution Methodology Using Genetic Algorithm” by K. S. Swarup and S. Yamashiro (Swarup/Yamashiro). Both methods
Premium Genetic algorithm Time Optimization