1 DEFINITION OF LINEAR PROGRAMMING (LP) Linear programming (LP) is a mathematical technique used in finding the best possible allocation of resources to achieve the best outcome‚ which is maximising profit or minimising cost. However‚ it is only applicable where there is a linear relationship between the variables. For example‚ the linear relationships between hours of labour and output in a textiles factory means an increase or decrease in labour force has a direct impact on production‚ which
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Personnel Scheduling at United Airlines 1. T. J. Holloran and J. E. Bryn‚ “United Airlines Station Manpower Planning System‚” Interfaces‚ 16(1): 39–50‚ Jan.–Feb. 1986. Despite unprecedented industry competition in 1983 and 1984‚ UNITED AIRLINES managed to achieve substantial growth with service to 48 new airports. In 1984‚ it became the only airline with service to cities in all 50 states. Its 1984 operating profit reached $564 million‚ with revenues of $6.2 billion‚ an increase of 6 percent
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____________________ STUDENT ID LECTURER : ____________________________________________________________ : _________________________ INSTRUCTIONS TO CANDIDATES 1. 2. This question paper consists of two part: PART A (5 Questions) PART B (5 Questions) Is question paper consists of two (2) parts: Answer ALL questions in the Question Paper. 3. Save your answer for Question 3 Part A and Question 2‚ 4 and 5 Part B in soft copy. 4. Candidates are allowed to use the computer software program recommended like
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|BUAD – 555 Decision Science |October 3rd. | | |2012 | |Mini Exam # 2 | | |Students’ Version
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problem is identified properly because this problem statement will indicate the following three major aspects: Q2. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. (Steps involved in LPP-4‚ Example-3 Advantages of LPP-3) 10 marks Answer. Steps of formulating Linear Programming Problem (LPP) The following steps are involved to formulate LPP : Step 1 : Identify the decision variables of the problem. Q3. a. What
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Operations Research Modeling Toolset Network Problems Linear programming has a wide variety of applications Network problems Special types of linear programs Particular structure involving networks Ultimately‚ a network problem can be represented as a linear programming model However the resulting A matrix is very sparse‚ and involves only zeroes and ones This structure of the A matrix led to the development of specialized algorithms to solve network problems Types of Network Problems
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blend. It did so based on the properties of available stocks and blend proportions suggested by the blender. Then‚ by the 60’s computers advanced quit a bit. Linear programming models were being solved by linear programming introduced by the refiner engineers. A process optimization program for nonlinear optimization that solved nonlinear programming problems was developed by IBM‚ called POP II. Then‚ immediately after‚ the GOP blending optimization system was developed that used the POP II system.
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Anything that can be done to reduce lead-time will improve forecast accuracy. * Bias indicates the directional tendency of FE <------> MAD indicates the magnitude of FE (Weighted) Moving Averages The Exponential Smoothing Method; Linear Combination * Another special case of Weighted Moving Average * F t = F t-1 + α (X t-1 - F t-1 ) II. Aggregate Production Planning Production Planning strategies: Level‚ Chase‚ and Combination * Level:
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basis. 3. 3 surplus variables‚ 3 artificials‚ and 4 variables in the basis. 4. 2 surplus variables‚ 2 artificials‚ and 3 variables in the basis. 5. - 16. For obtaining the solution of dual of the following Linear Programming Problem‚ how many slack and/or surplus‚ and artificial variables are required? Maximize profit = $50X1 + $120X2 subject to 2X1 + 4X2 ≤ 80 3X1 + 1X2 ≤ 60 1. Two slack variables 3 2. Two surplus variables 3. Two surplus
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Introduction to Management Science‚ 10e (Taylor) Chapter 4 Linear Programming: Modeling Examples 1) When formulating a linear programming problem constraint‚ strict inequality signs (i.e.‚ less than < or‚ greater than >) are not allowed. Answer: TRUE Diff: 2 Page Ref: Ch 2 review Main Heading: Formulation and Computer Solution Key words: formulation 2) When formulating a linear programming model on a spreadsheet‚ the measure of performance is located in the target cell.
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