Keywords

knapsack problem, dynamic programming, optimal solution, resource allocation.

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Multiobjective scheduling, Pareto optimal solution, Multiobjective local search algorithms

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Planning, Linear programming, optimal solution, Censorship authorities.

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Hamilton's function, periodic differential equations, optimal solution, direct method, differential equations.

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Optimal Solution, Linear Fractional Programming, Charnes& Cooper Transformation, New Approach

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Transportation model, linear programming, Sources, Destination, Location, Optimal solution.

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transportation problem, fuzzy transportation problem, triangle fuzzy numbers, optimal solution, decision making.

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The problem of transportation among the problems of operational research and attention to this type of problems has the main role in reducing the cost of transport and the time needed to solve this problem, which is reflected greatly on the economy of the country, solving the problem contributes to help the decision-makers to make the right decision to reach the optimal solution in all kinds of enterprises, oil derivatives are important resources in the country's national economy. The gasoline product is considered an important oil derivative because it is directly related to the citizen's life and has a major role in the economy of the country. In this research, we aim to review some methods of solving the problem of transport, including the approximate Vogel method, the offer with cost method, and compare these methods in terms of results using the Win.QSB program to reach the lowest possible transfer cost. Transport, which achieves the lowest costs of transporting gasoline from the warehouses of the province of Baghdad to the filling stations and try to obtain the lowest possible cost through their application, where the researcher in the application side to build a model to transport the product of gasoline from the main warehouses of the province of Baghdad to some fuel filling stations in Baghdad, 6 stations, the model was developed matrix of, the capacity of the warehouses, the expected demand for each station, The results of the linear programming method were, 1, 122, 435. The result of the offer method with the cost was the total cost, 1, 537, 410, followed by the approximate Vogel method, 1, 676, 270. Through the above results it is clear that the offer with the cost gives the total lowest cost of the transport .

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