Course Overview
The course covers topics on linear programming, Graphical and Algebraic solutions, Simplex Algorithm, Duality, Understanding the dual, Solving LPs using Solver, Transportation problem
& Assignment problem. Employees shall get in depth knowledge of how research on Operations is conducted and the results obtained thereafter.
Duration = 720 mins
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Product Mix problem and Notations
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Manpower and Production planning formulations
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Media selection problem and Bicycle problem
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Caterer problem
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Maximum flow and bin packing problems
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Graphical method (maximization)
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Graphical method (minimization)
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Algebraic method (maximization)
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Algebraic method (minimization)
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Comparing graphical and algebraic methods
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Algebraic form of simplex algorithm
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Tabular form of simplex (maximization)
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Tabular form (minimization)
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Unboundedness
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Infeasibility
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Motivation to the dual
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Writing the dual for a general LP
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Writing dual for a general LP (continued)
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Duality theorems
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Complimentary slackness theorem
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Dual solution using complimentary slackness
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Dual solution from simplex table; economic interpretation of dual
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Economic Interpretation of the dual; Dual Simplex algorithm
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Solving LPs with mixed type of constraints
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Matrix method for LP problems
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Introducing the transportation problem
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North West corner Rule and minimum cost method
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Penalty cost method
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Stepping stone method and Modified Distribution method
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MODI method; Dual of the transportation problem and the optimality of the MODI method
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Introducing the Assignment problem
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Solving the Assignment problem
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Hungarian algorithm; Alternate optimum
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Unequal number of rows and columns; Dual of the assignment problem
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Optimality of the Hungarian algorithm
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Setting up the problem and solving simple LP problems
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Unboundedness and infeasibility
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Solving other formulations
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Solving a transportation problem
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Solving an assignment problem
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Assessment
quiz
Certificate
Simple Certificate
Note: Certificate is downloadable only on the next...
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Course Features
Course Content
Course Badges
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Completion Badge - Introduction to Operations Research