A research on the transportation problem based on transport order
Cheng Guo
Abstract
Cheng Guo
Abstract
We researched a new transportation problem—the transportation problem based on transport order,established a network flow model based on the new transportation problem,proved its effect,and according to the minimum cost flow problem designed an effective algorithm to solve the problem.The predigest method which converts negative weight into positive weight is adopted,so that we can use Dijkstra’s algorithm to seek the shortest path.Therefore,the algorithm is promoted.
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We researched a new transportation problem—the transportation problem based on transport order,established a network flow model based on the new transportation problem,proved its effect,and according to the minimum cost flow problem designed an effective algorithm to solve the problem.The predigest method which converts negative weight into positive weight is adopted,so that we can use Dijkstra’s algorithm to seek the shortest path.Therefore,the algorithm is promoted.
Key concepts: Dijkstra's algorithm, Transportation theory, Flow network, Mathematical optimization, Minimum-cost flow problem, Shortest path problem, Order (exchange), Path (computing)