Page 1 Outline • Introduction • Solution Procedure for Transportation Problem • Finding an Initial Feasible Solution • Finding the Optimal Solution • Special Cases in Transportation Problems • Maximisation in Transportation Problems • Exercises Page 2 Outline • Introduction • Solution Procedure for Transportation Problem • Finding an Initial Feasible Solution • Finding the Optimal Solution • Special Cases in Transportation Problems • Maximisation in Transportation Problems • Exercises The main typical issues in OR : ? Formulate the problem ? Build a mathematical model ? Decision Variable ? Objective Function ? Constraints ? Optimize the model Operation Research Page 3 Outline • Introduction • Solution Procedure for Transportation Problem • Finding an Initial Feasible Solution • Finding the Optimal Solution • Special Cases in Transportation Problems • Maximisation in Transportation Problems • Exercises The main typical issues in OR : ? Formulate the problem ? Build a mathematical model ? Decision Variable ? Objective Function ? Constraints ? Optimize the model Operation Research ? Transportation problem are one of the linear Programming Problem ? The objective is to minimize the cost of distribution a product from a no of sources or origin to a no of destination in such a manner to minimize the total transportation cost. For example ? Manufacturer has three plants P 1 , P 2 , P 3 producing same products. ? From these plants, the product is transported to three warehouses W 1 , W 2 and W 3 . Introduction Page 4 Outline • Introduction • Solution Procedure for Transportation Problem • Finding an Initial Feasible Solution • Finding the Optimal Solution • Special Cases in Transportation Problems • Maximisation in Transportation Problems • Exercises The main typical issues in OR : ? Formulate the problem ? Build a mathematical model ? Decision Variable ? Objective Function ? Constraints ? Optimize the model Operation Research ? Transportation problem are one of the linear Programming Problem ? The objective is to minimize the cost of distribution a product from a no of sources or origin to a no of destination in such a manner to minimize the total transportation cost. For example ? Manufacturer has three plants P 1 , P 2 , P 3 producing same products. ? From these plants, the product is transported to three warehouses W 1 , W 2 and W 3 . Introduction ? Each plant has a limited capacity, and each warehouse has specific demand. Each plant transport to each warehouse, but transportation cost vary for different combinations. Page 5 Outline • Introduction • Solution Procedure for Transportation Problem • Finding an Initial Feasible Solution • Finding the Optimal Solution • Special Cases in Transportation Problems • Maximisation in Transportation Problems • Exercises The main typical issues in OR : ? Formulate the problem ? Build a mathematical model ? Decision Variable ? Objective Function ? Constraints ? Optimize the model Operation Research ? Transportation problem are one of the linear Programming Problem ? The objective is to minimize the cost of distribution a product from a no of sources or origin to a no of destination in such a manner to minimize the total transportation cost. For example ? Manufacturer has three plants P 1 , P 2 , P 3 producing same products. ? From these plants, the product is transported to three warehouses W 1 , W 2 and W 3 . Introduction ? Each plant has a limited capacity, and each warehouse has specific demand. Each plant transport to each warehouse, but transportation cost vary for different combinations. Steps to solve a transportation problem ? Formulate the problem and setup in the matrix form. ? Obtain the initial basic feasible solution. ? Test the solution for optimality. ? Updating the solution if required. For example:Read More

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