2007Journal of Zhejiang University(Science Edition)Requires access

Network flow problem with carrier

Enyu Yao

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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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What this paper is about

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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Available 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.

Key concepts: Lagrangian relaxation, Minimum-cost flow problem, Mathematical optimization, Flow network, Integer programming, Simplex algorithm, Heuristic, Flow (mathematics)

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