CHAPTER 2 An Introduction to Linear Programming 21 KEY CONCEPTS ILLUSTRATED ANSWERED CONCEPT PROBLEMS PROBLEMS Formulation 7‚8 15‚16 Minimization 2‚5 9‚10‚15 Standard Form
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Pratt‚ J. W.‚ H. Raiffa‚ and R. Schlaifer. Introduction to Statistical Decision Theory. MIT Press‚ 1995. Raiffa‚ H. Decision Analysis. McGraw-Hill‚ 1997. Krieger‚ 1978. Science 36‚ no. 3 (March 1990): 269–273. Ignizio‚ J. Introduction to Linear Goal Programming. Sage‚ 1986. Keeney‚ R. L.‚ and H. Raiffa. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Cambridge‚ 1993. Saaty‚ T. Multicriteria Decision Making‚ 2d ed. RWS‚ 1996. Science 36‚ no. 3 (March 1990): 259–268. Saaty‚ T.
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between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. A technician can contact on average 1.2 regular customers per hour and 1 new customer per hour. Develop a linear programming model that will enable HTS to allocate technician time between regular customers and new customers. Report the optimal solution. Management of High Tech Services (HTS) would like to develop a model that will help allocate its technician’s
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Research. Briefly explain the techniques and tools of Operations Research. Operations Research Methodology 10 Techniques and tools of Operations Research 2 Explain the steps involved in linear programming problem formulation with an example. Discuss in brief the advantages of linear programming. Q1 : Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research. 1. Operations Research Methodology 2. Techniques
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+ $8D Z = $2L + $1D Z = $2L + $2D 6.____________solutions are ones that satisfy all the constraints simultaneously. alternate feasible Infeasible Optimal Unbounded 7. When using linear programming model to solve the “diet” problem‚ the objective is generally to maximize profit. True False 8. A constraint for a linear
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spaces‚ each of which is defined by a linear inequality. 2) What is an infeasible solution? How is this condition recognized in simplex method? A infeasible solution is one that does not satisfies all linear and non-linear constraints. When the solution is along with the artificial variable even when the aolution is optimized then its is a infeasible solution 3) What is an unbounded solution? How is this condition recognized in simplex method? A linear program is unbounded if the optimal
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giving step-wise information about the methodology and solution. TORA tutorial software deals with the following algorithms: •Solution of simultaneous linear equations •Linear programming •Transportation model •Integer programming •Network models •Project analysis by CPM/PERT •Poisson queuing models •Zero-sum games The software provides a number
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easily connect to existing libraries. That is why optimization is an important and practical topic in Scilab‚ which provides tools to solve linear and nonlinear optimization problems by a large collection of tools. Overview of the industrial-grade solvers available in Scilab and the type of optimization problems which can be solved by Scilab. Objective Linear Bounds y Equality l Inequalities l Problem size m m l l y Nonlinear s Gradient needed y n Solver linpro quapro qld qpsolve optim neldermead
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Briefly 1 explain the techniques and tools of Operations Research. Operations Research Methodology Techniques and tools of Operations Research 2 5 10 5 a. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. b. Alpha Limited produces & sells two different products under the brand names black & white. The profit per unit on these products in Rs. 50 & Rs. 40 respectively. Both the products employ the same
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Resource Allocation Problem Statement The type of problem most often identified with the application of linear program is the problem of distributing scarce resources among alternative activities. The Product Mix problem is a special case. In this example‚ we consider a manufacturing facility that produces five different products using four machines. The scarce resources are the times available on the machines and the alternative activities are the individual production volumes. The machine
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