TOPIC: NATURE AND APPLICATIONS OF OPERATIONAL RESEARCH SUBMITTED TO: SUBMITTED BY: MS. AMANDEEP SAVEENA (LECTURER OF O.R) MBA-3RD (11-148) INTRODUCTION & HISTORY OF OPERATIONAL RESEARCH Operational research came into existence in 1885 when Frederick W. Taylor emphasised the application of scientific analysis to methods of production. The name (OR)
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Using Excel=s Solver Tool in Portfolio Theory Excel contains a tool called the Asolver@ that lets you maximize or minimize functions subject to general constraints. We will use this tool to compute the global minimum variance portfolio and the tangency portfolio for the three-firm example (see the spreadsheet 3firm.xls). The spreadsheet for this tutorial is called solverex.xls. The data for this example are given in the following table Stock 1 2 3 E[R] 0.229 0.138 0.052 VAR(R) 0.924 0.862 0.528
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characteristics‚ advantages and limitations. Quantitative approach to decision making‚ models & modeling in Operations Research. Module II (8 Hours) Linear programming‚ Structure of linear program model‚ Assumption‚ Advantages‚ Limitations‚ General mathematical model‚ Guidelines for formulation of linear programming model‚ Graphical method‚ algorithm (Only illustrative problems) Duality in linear programming.. Module III (8 Hours) Transportation problem‚ General structure of transportation problem
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Linear Programming in Finance‚ Accounting and Economics Sijia Lu 7289928683 Abstract This article is literatures review about five articles‚ which apply linear programming to Finance‚ accounting and economics. The mathematical method is found of crucial importance in those fields. The paper shows how theoretical inference in linear programming throws light upon realistic practice‚ and how empirical evidence supports those theories. Keywords: finance; accounting; economics; linear programming; investment
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Running the business from the Palm of your hand 1. Case describe applications which help to work on-line not only through our computers but also through mobile devices. I the modern world almost whole production is made by machines and controlled by computers‚ some people must to control production necessary in a plant‚ others could control it from the computer by choosing optimal operating conditionals. There are also a lot of applications which make informational system of the companies‚ which
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Introduction Markowitz (1952‚ 1956) pioneered the development of a quantitative method that takes the diversification benefits of portfolio allocation into account. Modern portfolio theory is the result of his work on portfolio optimization. Ideally‚ in a mean-variance optimization model‚ the complete investment opportunity set‚ i.e. all assets‚ should be considered simultaneously. However‚ in practice‚ most investors distinguish between different asset classes within their portfolio-allocation frameworks
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= w1 n1 [1 + r] + w2 n2 Dividing each side by [1+r] for convenience gives c1 + c2 w 2 n2 = w 1 n1 + 1+r 1+r We can solve for consumption and labor supply in each period (c1 ‚ c2 ‚ n1 ‚ n2 ) by first setting up the Lagrangian for a constrained optimization problem as L = ln[c1 ] + ln[1 − n1 ] + βln[c2 ] + βln[1 − n2 ] − λ[n1 + Taking FOC’s with respect to c1 ‚ c2 ‚ n1 ‚ n2 ‚ λ) gives dL dc1 dL dn1 dL dc2 dL dn2 dL dλ = = = = = 1 +λ=0 c1 1 − − λw1 = 0 1 − n1 β λ =0 + c2 1+r β λw2 =0 − − 1 − n2 1+r
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www.jntuworld.com www.jwjobs.net 1 Code: 9A05603 III B. Tech II Semester (R09) Regular Examinations‚ April/May 2012 OPTIMIZING TECHNIQUES (Common to Computer Science & Engineering & Computer Science & Systems Engineering) Time: 3 hours Max Marks: 70 1 (a) (b) 2 Answer any FIVE questions All questions carry equal marks ***** State the necessary and sufficiency conditions for the minimum of the single variable function f ( x ) . Find the minimum of the function: f
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Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis‚ we saw that the shadow-price interpretation of the optimal simplex multipliers is a very useful concept. First‚ these shadow prices give us directly the marginal worth of an additional unit of any of the resources. Second‚ when an activity is ‘‘priced out’’ using these shadow prices‚ the opportunity cost of allocating resources to that activity relative to other activities is determined. Duality in linear programming
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Linear Programming Concept Paper There are two types of linear programming: 1. Linear Programming- involves no more than 2 variables‚ linear programming problems can be structured to minimize costs as well as maximize profits. Due to the increasing complexity of business organizations‚ the role of the management executive as a decision maker is becoming more and more difficult. Linear programming is a useful technique to solve such problems. The necessary condition is that the data must be
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