"Mathematical optimization" Essays and Research Papers

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    Table of Conten 1. INTRODUCTION1 2. Formulate the Problem1 2.1 CHOOSE DECISION VARIABLES1 2.2 FORMULATE THE OBJECTIVE FUNCTION1 2.3 FORMULATE CONSTRAINTS2 3. SOFTWARE2 3.1 MICROSOFT OFFICE EXCEL2 3.1.1 EXCEL DATA INPUT AND SOLVE THE PROBLEM2 3.1.2 ANSWER ANALYSIS3 3.1.3 SENSITIVITY ANALYSIS4 3.2 XPRESS-IVE ANALYSIS6 4. CONCLUSION6 APPENDIX Operational Research Methods Report 1. Introduction Linear programming (LP) model is a significant and popular used model of operational

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    planning to the design of radiation therapy‚ and so on. However‚ the one common ingredient in each of these situations is the necessity for allocating resources to activities by choosing the levels of those activities. Linear programming uses a mathematical model to

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    informed decisions. All date and input factors are known with certainty. Linear program models are developed in three different steps: • Formulation • Solution • Interpretation The formulation step deals with displaying the problem in a mathematical form. Once that is developed the solution stage solves the problem and finds the variable values. During the interpretation stage the sensitivity analysis gives managers the opportunity to answer hypothetical questions regarding the solutions

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    TECHNIQUES ----------------------------------------------------------------------------------------- 2.1 INFORMED SEARCH AND EXPLORATION 2.1.1 Informed(Heuristic) Search Strategies 2.1.2 Heuristic Functions 2.1.3 Local Search Algorithms and Optimization Problems 2.1.4 Local Search in Continuous Spaces 2.1.5 Online Search Agents and Unknown Environments ----------------------------------------------------------------------------------------------------------------------- 2.2 CONSTRAINT

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    Optimization Note Examples 1. Farmer McDonald has 800 m of fencing and wishes to enclose a rectangular field. One side of the field is against a river and does not need fencing. Find the dimensions of the field if the fenced area is to be a maximum. A county fair has a holding area for prize sheep that are entered in a contest. The holding area is made up of 12 identical pens arranged in a two by six grid. If 100 m of fencing is available‚ what dimensions of each pen would maximize the total holding

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    Operations Management II Introduction to Operations Research Operations Research (OR) Definition Operations Research is the representation of real world systems by mathematical models together with the use of quantitative methods (Algorithms) for solving such models‚ with a view of optimising. - (J.E Beasley) “The attack of modern science on complex problems arising in the direction and management of large systems of men‚ machines‚ materials and money in industry‚ business‚ government

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    SLIDES . BY . . . . St. Edward’s Univ. . . . . . . . John Loucks © 2013 Cengage Learning. All Rights Reserved. May not be scanned‚ copied Slide 1 or duplicated‚ or posted to a publicly accessible website‚ in whole or in part. Chapter 1 Introduction       Body of Knowledge Problem Solving and Decision Making Quantitative Analysis and Decision Making Quantitative Analysis Models of Cost‚ Revenue‚ and Profit Quantitative Methods in Practice © 2013 Cengage Learning. All Rights Reserved. May

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    Task 1: Big Foot Part 1 After viewing some background information on the yowie (a short video and newspaper article)‚ we were given the foot length of the yowie (43cm) and asked to find its height from this measurement. We were asked to collect a series of measurements of our body proportions. After some discussion about not getting precise enough approximation for some body proportions‚ specifically the a/b/c finger‚ we decided to only include foot length‚ height and arm span as we thought that

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    number of edges. Raghavan mentioned that 95% of nodes or more are classified correctly by the end of iteration 5 [14]. So it is applicable to large-scale networks due to this simple local and decentralized process. In addition‚ neither does LPA need optimization of the predefined objective function nor does it need priori information on numbers and scales of the community. Furthermore‚ there is no limit on the size of the community and the division effect is very ideal. So LPA has become one of the most

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    model (c) a verbal model (d) a mathematical model 4. The quantitative approach to decision analysis is a (a) logical approach (b) rational approach (c) scientific approach (d) all of the above 5. OR approach is typically based on the use of (a) Physical model (b) Mathematical model (c) Iconic model (d) Descriptive model 6. The mathematical model of an LP problem is important because (a) it helps in converting the verbal description and numerical data into mathematical expression (b) decision-makers

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