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university of bahrain | Operation Research | Case Study (Transportation Problem) | | Ali Al-Nasser | 20092446 |

Problem Al Kobaisi Group is a ready mix company which has three plants in various locations among Kingdom of Bahrain. They signed a contract with Al-Moayed contracting to supply them with concrete mix for three different projects located at three different areas. The following tables show the amount of concrete mix each plant can provide and required quantities for each project: Al Kobaisi Group Plants | Supply | P1 | 200 m3/day | P2 | 450 m3/day | P3 | 325 m3/day | Project Name | Demand | M1 | 100 m3/day | M2 | 375 m3/day | M3 | 500 m3/day | Al Kobaisi Group will rent the trucks from a transportation company to transfer the concrete mix from the plants to the sites. Sales manager of Al Kobaisi Group wants to know the optimum way of assignment of trucks in which the cost will be minimum. Use the below table in order to help the manager in taking the decision using one of the L.P models. P/M | M1 | M2 | M3 | Supply | P1 | 20 | 5 | 13 | 200 | P2 | 9 | 18 | 7 | 450 | P3 | 11 | 16 | 23 | 325 | Demand | 100 | 375 | 500 | |

In order to solve the above mentioned problem we are going to use transportation model. However, before starting the solution a brief description of the model will be illustrated as follow:
Transportation Problem Many practical problems in operations research can be broadly formulated as linear programming problems, for which the simplex this is a general method and cannot be used for specific types of problems like, (i) transportation models, (ii) transshipment models and (iii) the assignment models. The above models are also basically allocation models. We can adopt the simplex technique to solve them, but easier...

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