Published online ahead of print August 27‚ 2007 OPERATIONS RESEARCH Articles in Advance‚ pp. 1–19 issn 0030-364X eissn 1526-5463 informs ® doi 10.1287/opre.1070.0411 © 2007 INFORMS Pricing and Manufacturing Decisions When Demand Is a Function of Prices in Multiple Periods Ross School of Business‚ University of Michigan‚ Ann Arbor‚ Michigan 48109‚ hsahn@umich.edu Desautels Faculty of Management‚ McGill University‚ Montréal‚ Quebec‚ Canada H3A 1G5‚ mehmet.gumus@mcgill.ca Department
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Stock Rationing in a Make-to-Stock Production System with Two Demand Classes and Service Level Constraint [pic] This paper studies the stock rationing problem of a single-item make-to-stock production system with two demand classes and lost sale. There are service level requirements for both demand classes. Demands follow Poisson distributions‚ and production time is exponentially distributed. We derive the condition of the existence of a feasible rationing policy of the problem first. Then the
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ILP Problem Formulation Ajay Kr. Dhamija (N-1/MBA PT 2006-09) Abstract Integer linear programming is a very important class of problems‚ both algorithmically and combinatori- ally.Following are some of the problems in computer Science ‚relevant to DRDO‚ where integer linear Pro- gramming can be e®ectively used to ¯nd optimum so- lutions. 1. Pattern Classi¯cation 2. Multi Class Data Classi¯cation 3. Image Contrast Enhancement Pattern Classi¯cation is being extensively used for automatic
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1 Topics on "Operational Research" Mar. 2007‚ IST Linear Programming‚ an introduction MIGUEL A. S. CASQUILHO IST‚ Universidade Técnica de Lisboa‚ Ave. Rovisco Pais‚ IST; 1049-001 Lisboa‚ Portugal Linear Programming is presented at an introductory level‚ mainly from the book by Hillier and Lieberman [2005]‚ abridged and adapted to suit the objectives of the “Operational Research” course. It begins with segments of its third chapter. Key words: linear programming; simplex method. I. Fundamentals
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Chapter 1 ------------------------------------------------- Introduction ------------------------------------------------- Chapter Contents: * ------------------------------------------------- Problem Solving and Decision Making * ------------------------------------------------- Development of Operations Research * ------------------------------------------------- The Nature of Management Science * ------------------------------------------------- Models * -------------------------------------------------
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Operational Research Society 55 (11)‚ 1178–1186. Lougee-Heimer‚ R.‚ 2003. The common optimization interface for operations research: Promoting open-source software in the operations research Rezanova‚ N.J.‚ Ryan‚ D.M.‚ 2010. The train driver recovery problem – a set partitioning based model and solution method Ryan‚ D.M.‚ Foster‚ B. 1981. An integer programming approach to scheduling. Thomsen‚ K. 2006. Optimization on home care. Master’s thesis‚ Informatics and Mathematical Modelling‚ Technical University
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used by operations managers and other managers to obtain optimal solutions to problems that involve restrictions or limitations‚ such as the available materials‚ budgets‚ and labour and machine time. These problems are referred to as constrained optimization problems. There are numerous examples of linear programming applications to such problems‚ including: • Establishing locations for emergency equipment and personnel that will minimize response time •
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20 CHAPTER 3 NEW ALTERNATE METHODS OF TRANSPORTATION PROBLEM 3.1 Introduction The transportation problem and cycle canceling methods are classical in optimization. The usual attributions are to the 1940’s and later. However‚ Tolsto (1930) was a pioneer in operations research and hence wrote a book on transportation planning which was published by the National Commissariat of Transportation of the Soviet Union‚ an article called Methods of ending the minimal total kilometrage in cargo-transportation
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hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation of production rates. At other times‚ however‚ fractional solutions are not realistic‚ and we must consider the optimization problem: n Maximize j=1 cjxj‚ subject to: n j=1 ai j x j = bi xj ≥ 0 x j integer (i = 1‚ 2‚ . . . ‚ m)‚ ( j = 1‚ 2‚ . . . ‚ n)‚ (for some or all j = 1‚ 2‚ . . . ‚ n). This problem is called the (linear) integer-programming
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3 Introduction to Linear Programming The development of linear programming has been ranked among the most important scientific advances of the mid-20th century‚ and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Today it is a standard tool that has saved many thousands or millions of dollars for most companies or businesses of even moderate size in the various industrialized countries of the world; and its use in other sectors of society has been spreading
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