QUANTITATIVE METHODS- II Module I (6 Hours) Introduction to Operations Research. Definition‚ scope of Operations Research‚ 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
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nightingale assessment - focus is on environment of patient. what is environment contributing to disability or illness of Mrs. James? What are inhibiting factors‚ e.i. position of bedside table‚ lack or flowers‚ too far from the window‚ slippery‚ cold floor‚ lack of space (four bedroom)‚ too many people in room‚ noisy area? diagnosis -relates to environment or what is lacking in the environment as a condition to restore health. i.e. crowded‚ restricted environment that inhibits movement toward
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Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management Dhaka‚ Bangladesh‚ January 9 – 10‚ 2010 Application of Integer Linear Programming Model for Vendor Selection in a Two Stage Supply Chain A. John Rajan Department of Mechanical and Production Engineering Sathyabama University‚ Chennai‚ India K. Ganesh Senior consultant‚ Global Business Services‚ IBM India Private Limited‚ Mumbai‚ India K.V. Narayanan Controller of Examinations‚ Sathyabama
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Decision Science Management: Please show all your work with the problems in steps but NOT just answers. 22. Reiser Sports Products wants to determine the number of All-Pro (A) and College (C) footballs to produce in order to maximize profit over the next four-week planning horizon. Constraints affecting the production quantities are the production capacities in three departments: cutting and dyeing; sewing; and inspection and packaging. For the four-week planning period‚ 340 hours of cutting
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Linear Programming Model Formulation Graphical Solution Method Linear Programming Model Simplex method Solution Solving Linear Programming Problems with Excel Dr A Lung Student exercises Kingston University London 1 Linear Programming (LP) • A model consisting of linear relationships representing a firm’s objective and resource constraints • LP is a mathematical modeling technique used to determine a level of operational activity in order to achieve an objective‚ subject to
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Solution to Homework #3 4. a. Y 10 8 6 Optimal Solution X = 2.5‚ Y = 2.5 4 8 (2 2 .5) +1 2 (2 2 .5) =5 0 4 X 6 8 10 b. The value of the optimal solution to the revised problem is 8(2.5) + 12(2.5) = 50. Compared to the original problem‚ the value of the optimal solution has increased by 50 48 = 2. Thus‚ the dual value is 2. c. The right-hand side range for constraint 1 is 5 to 11. As long as the right-hand side stays within this range‚ the dual value of 2 is applicable. Since increasing
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CLICK TO DOWNLOAD MAT540 Week 8 Homework Chapter 4 14. Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A‚ no more than 12% of metal B‚ no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided
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Mathematical Model of a Transportation Problem where m … number of sources n … number of destinations ai … capacity of i-th source (in tons‚ pounds‚ liters‚ etc) bj … demand of j-th destination (in tons‚ pounds‚ liters‚ etc.) cij … cost coefficients of material shipping (unit shipping cost) between i-th source and j-th destination (in $ or as a distance in kilometers‚ miles‚ etc.) xij … amount of material shipped between i-th source and j-th destination (in tons‚ pounds‚ liters etc.)
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IMSE2008 Operational Research Techniques Problem Set: Linear Programming Due: Monday‚ October 20‚ 2014 Please submit to the general office of the IMSE department (Ms Kate Lee HW8-17) on Oct 20 Late submission will be discounted by 20% on a daily basis Please e-mail me msong@hku.hk if you have any questions Problem 1. Work through the simplex method step by step to demonstrate that the following problem is unbounded. (5 marks) max 5x1 + x2 + 3x3 + 4x4 s.t. x1 – 2x2 + 4x3
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Vi Le MGM350C Professor Rohit RampalCase: Textile Mill Scheduling Let X3R = yards of fabric 3 on regular looms X4R = yards of fabric 4 on regular looms X5R = yards of fabric 5 on regular looms X1D = yards of fabric 1 on dobbie looms X2D = yards of fabric 2 on dobbie looms X3D = yards of fabric 3 on dobbie looms X4D = yards of fabric 4 on dobbie looms X5D = yards of fabric 5 on dobbie looms Y1 = yards of fabric 1 purchased Y2 = yards
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