Efficient Heuristic Based Methods for Two-Stage Transshipment Problem

Priyank Sinha, Renduchintala Raghavendra Kumar Sharma
2018 American Journal of Operations Research  
In this article, we propose efficient methods for solving two stage transshipment problems. Transshipment problem is the special case of Minimum cost flow problem in which arc capacities are infinite. We start by proposing a novel problem formulation for a two stage transshipment problem. Later, special structure of our problem formulation is utilized to devise two dual based heuristics solutions with computational complexity of O (n 2 ), and O (n 3 ) respectively. These methods are motivated
more » ... ods are motivated by the methods developed by Sharma and Saxena [1], Sinha and Sharma [2]. Our methods differ in the initialization and the subsequent variation of the dual variables associated with the transshipment nodes along the shortest path. Lastly, a method is proposed to extract a very good primal solution from the given dual solutions with a computational complexity of O (n 2 ). Efficacy of these methods is demonstrated by our numerical analysis on 200 random problems.
doi:10.4236/ajor.2018.84016 fatcat:cl5cnnekdzhhrphhgwwcb4ifqm