Network flow problem with carrier
Enyu Yao
Abstract
Enyu Yao
Abstract
A network flow problem with carrier is proposed, which is about transferring cargo from one or multiple points to multiple demanding points by some carrier like truck or ship etc.The goal is to decrease the transferring cost.A mixed integer programming model is used to describe the problem.Lagrangian relaxation with network simplex method is used to get a lower bound of the problem,and furthermore,get a feasible solution to the problem by a heuristic method.
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A network flow problem with carrier is proposed, which is about transferring cargo from one or multiple points to multiple demanding points by some carrier like truck or ship etc.The goal is to decrease the transferring cost.A mixed integer programming model is used to describe the problem.Lagrangian relaxation with network simplex method is used to get a lower bound of the problem,and furthermore,get a feasible solution to the problem by a heuristic method.
Key concepts: Lagrangian relaxation, Minimum-cost flow problem, Mathematical optimization, Flow network, Integer programming, Simplex algorithm, Heuristic, Flow (mathematics)