run from process 1 and process 2 are Rs. 200 and Rs. 300 respectively. Formulate the problem as a linear programming problem. Solution: Let x and y denote the number of production runs of the two processes‚ respectively. Then the appropriate mathematical formulation of the problem is: Maximize Z=200x+300y Subject to the constraints: 4x+5y≤225 3x+6y≤200 4x+5y≥150 7x+5y≥120 x‚y≥0 The standard weight of a special purpose brick is equal to 5kg and it contains two
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Statistical Process Control: A process that monitors standards by take measurements and corrective action as needed. It is in control when only variation is natural‚ if variation is assignable then discover cause eliminate it. Take samples to inspect/ measure- reduce inspection time‚ reduce opportunity of bad quality. Control charts graph of process data over time-show natural and assignable causes. Control charts for variable data (characteristic that is measured‚ length‚height‚ etc) are X-chart
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Distribution and Network Models ♦ Solution Plus ♦ Distribution Systems Design Chapter 7: Integer Linear Programming ♦ Textbook Publishing ♦ Yeager National Bank ♦ Production Scheduling with Changeover Costs Chapter 8: Nonlinear Optimization Models ♦ Portfolio Optimization with Transaction Costs Chapter 9: Project Scheduling: PERT/CPM ♦ R.C. Coleman Chapter 10: Inventory Models ♦ Wagner Fabricating Company ♦ River City Fire Department Chapter 11: Waiting Line Models ♦ Regional Airlines ♦ Office Equipment
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Network Models ♦ Solution Plus ♦ Distribution Systems Design Chapter 7: Integer Linear Programming ♦ Textbook Publishing ♦ Yeager National Bank ♦ Production Scheduling with Changeover Costs Chapter 8: Nonlinear Optimization Models ♦ Portfolio Optimization with Transaction Costs Chapter 9: Project Scheduling: PERT/CPM ♦ R.C. Coleman Chapter 10: Inventory Models ♦ Wagner Fabricating Company ♦ River City Fire Department Chapter 11: Waiting Line Models ♦ Regional
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1305009661) Q.1: Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research. Ans: The basic dominant characteristic feature of operations research is that it employs mathematical representations or models to analyse problems. This distinct approach represents an adaptation of the scientific methodology used by the physical sciences. OR methodology consists of five steps. They are defining the problem‚ constructing the
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| MERTON TRUCK | Memorandum To: President From: Date: ------------------------------------------------- Re: Merton Truck Company Introduction In response to your report and request regarding Merton’s financial performance and product mix‚ I have met with your controller‚ sales manager and production manager‚ and have provided a solution that will improve the company in these two areas. Using a systematic approach‚ I was able to analyze the current machine hours‚ standard costs‚ and
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hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation of production rates. At other times‚ however‚ fractional solutions are not realistic‚ and we must consider the optimization problem: n Maximize j=1 cjxj‚ subject to: n j=1 ai j x j = bi xj ≥ 0 x j integer (i = 1‚ 2‚ . . . ‚ m)‚ ( j = 1‚ 2‚ . . . ‚ n)‚ (for some or all j = 1‚ 2‚ . . . ‚ n). This problem is called the (linear) integer-programming
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to meet changing conditions. 4. It highlights the bottlenecks in the production processes. 5. As the problem is linear in nature the computational power required is less compared to non-linear methods. Therefore‚ large problems like optimization of an entire refinery can be performed using LP technique using desk top computers. 3. Solve the following Assignment Problem |Operations |
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Date 11/10/2013 42401 Project Assignment 1 Scheduling of the Central Security Checkpoint GAMS and Excel This report has been generated using GAMS as the solver and then Excel to process and visualize the results. In GAMS‚ two sets has been used. One set for the shifts‚ and another for the timeslots. Since in GAMS it is not allowed to have “.” or “‚” in a set name‚ the timeslots has been denoted 4:30=45. A file which
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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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