Demand Forecasting Demand forecasting • Why is it important • How to evaluate • Qualitative Methods • Causal Models • Time-Series Models • Summary Production and operations management Product Development long term medium term short term Product portifolio Purchasing Manufacturing Distribution Supply network designFacility Partner selection location Distribution network design and layout Derivatuve Supply Demand forecasting is product developmentcontract the starting ? point
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modal class is the class with the largest number of observations) - A unimodal histogram is one with single peak. A bimodal histogram is one with two peaks‚ not necessarily equal in height 4. Bell shape – A special type of symmetric unimodal histogram. B. Stem-and-leaf Display ~ One of the drawback of the histogram is that we lose potentially useful information by classifying the observations. Stem-and-Leaf method developed by statistician John Tukey overcomes this loss to some extent. The advantage
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decisions. [5 Marks] b. Discuss the usefulness of Operation Research in decision making process and the role of computers in this field. [5 Marks] 2. Explain how the linear programming technique can be helpful in decision-making in the areas of Marketing and Finance. [10 Marks] 3. a. How do you recognise optimality in the simplex method? b. Write the role of pivot element in simplex table? [5 Marks] [5 Marks] 4. What is the significance of duality theory of linear programming? Describe
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Invertible matrix In linear algebra an n-by-n (square) matrix A is called invertible or nonsingular or nondegenerate‚ if there exists an n-by-n matrix B such that where I n denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication. If this is the case‚ then the matrix B is uniquely determined by A and is called the inverse of A‚ denoted by A −1 . It follows from the theory of matrices that if for finite square matrices A and B‚ then also [1] Non-square
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voltage that is typically hundreds of thousands of times larger than the voltage difference between its input terminals.[2] Operational amplifiers had their origins in analog computers where they were used to do mathematical operations in many linear‚ non-linear and frequencydependent circuits. Characteristics of a circuit using an op-amp are set by external components with little dependence on temperature changes or manufacturing variations in the op-amp itself‚ which makes op-amps popular building
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Section 2.3 Linear Functions and Slopes 1 Section 2.3 Linear Functions and Slopes The Slope of a Line 2 Section 2.3 Linear Functions and Slopes Find the slope of the line that passes through (-2‚5) and (3‚-1) change in y 5 1 6 6 m or change in x 2 3 5 5 3 Section 2.3 Linear Functions and Slopes 4 Section 2.3 Linear Functions and Slopes Example Find the slope of the line passing through the pair of points (5‚-2) and (-1‚7). 5 Section 2.3 Linear Functions and Slopes First:
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support in completing this project. TABLE OF CONTENTS 1. Linear Programming ……........…………………………….................................4 2. Transportation Problem ……………………………............................................5 3. Case Study………………………………………..................................................8 4. Other Methods of solving transportation problem..................................................11 LINEAR PROGRAMMING Linear programming is a mathematical method for determining a way to
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University No. 11365048 Contents Introduction Sample x results Sample y results Elasticity and Elastic Limit Yield Point and Plasticity Ultimate Tensile Strength Stiffness Ductility Brittleness Hooke’s Law Young’s Modulus Conclusion Sample x graph Sample y graph Sample z graph List of references Page 2 Page 3 Page 4 Page 5 Page 5 Page 6 Page 6 Page 7 Page 7 Page 8 Page 8 Page 9 Page 11 Page 12 Page 13 Page 14 Page 1 of 15 University No. 11365048 The Tensile Test I have been provided
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. . . 7 8 9 10 12 13 21 22 24 35 35 37 40 40 42 48 48 50 50 52 53 55 55 56 Linear programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Integer programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Optimization problems on graphs . . . . . . . . . . . . . . . . . . . . . . . . Integer programs‚ continued . . . . . . . . . . . . . . . . . . . . . . . . . . Non linear programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Overview
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denote entries a b c d Or a11 a12 a a 21 22 Row vs Column vector 3 x 4 y 5 z 0 2 x 2 y z 0 6 x 4 y 2 z 0 Numerical coefficients and their relative positions (system of linear equations) 5 3 4 2 2 1 6 4 2 and 0 0 0 Matrix or matrices‚ uses brackets/parentheses‚ represented by bold letters e.g.‚ A‚ B‚ C‚ Z etc. Equality of Matrices A=[aij] and B=[bij] are equal if
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