Find the optimal assignment of four jobs and four machines when the cost of assignment is given by the following table: Transportation Algorithm for Minimization Problem MODI Method After evaluating an initial basic feasible solution to a transportation problem, the next question is how to get the optimum solution.
The procedure for mathematical formulation of a linear programming problem consists of the following major steps: Case 1 - The degeneracy develops while b. There is a type of linear programming problem that may be solved using a simplified version of the simplex technique called transportation method.
A problem consists of a linear function of variable called objective function subject to set of linear equation or inequalities called constraints, are known as linear programming problem. Explain Smu mb0048 questions Monte Carlo Simulation.
Find an optimal solution to an assignment problem with the following cost matrix: But the production rate varies with the distribution. Determine the entering variable 3.
This distinct approach represents an adaptation of the scientific methodology used by the physical sciences. Objective function is to maximize the profit Thus Max.
Explain in brief the phases of Operations Research. It consists of finding a maximum weight matching in a weighted bipartite graph.
Determine the leaving variable 4. Monte Carlo simulation is a computerized mathematical technique that allows people to account for risk in quantitative analysis and decision making. A paper mill produces two grades of paper viz.
Transportation Algorithm for Minimization Problem MODI Method After evaluating an initial basic feasible solution to a transportation problem, the next question is how to get the optimum solution. Explain Monte Carlo Simulation. Explain the steps involved in Hungarian method of solving Assignment problems.
It gets its name from its application to b.
The basic dominant characteristic feature of operations research is that it employs mathematical representations or models to analyse problems. Production Rate Probability 0. This gives the following reduced-cost matrix. Using the following random numbers determine the average number of cars waiting for shipment in the company and average number of empty space in the truck.
Steps in Hungarian method Hungarian method algorithm is based on the concept of opportunity cost and is more efficient in solving assignment problems. There are production hours in a week. Monte Carlo methods or Monte Carlo experiments are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results; typically one runs simulations many times over in order to obtain the distribution of an unknown probabilistic entity.
In its most general form, the problem is as follows: Thus the profit or cost per unit of product, availability of labour and material, market demand is known with certainty b. Explain the procedure of MODI method of finding solution through optimality test.
Explain how to solve the degeneracy in transportation problems. The following steps are adopted to solve an AP using the Hungarian method algorithm.Answer all questions.
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MB Operations Research. Uploaded by dm Save. MB Operations Research and Tools Structure of the Mathematical Model Limitations of Operations Research Summary Terminal Questions Answers to SAQs and TQs Answers to Self Assessment Questions Answers to Terminal Questions 5/5(3).
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