Step fixed-charge solid transportation problem: a Lagrangian relaxation heuristic approach

Step fixed-charge solid transportation problem: a Lagrangian relaxation heuristic approach A new large-scale optimization problem in the field of transportation engineering is introduced in this paper as step fixed-charge solid transportation problem, where products are sent from sources to destinations by some conveyances in existence of both unit and step fixed-charges. The problem has many real-world applications in transportation area. As a moderate-sized instance of this problem becomes intractable for general-purpose solvers, we propose a dual decomposition approach, which is based on a Lagrangian relaxation and capable of tackling larger instances. The Lagrangian approach is also equipped with a Lagrangian heuristic to produce upper bounds. Our extensive numerical experiments show that the approach produces high-quality solutions in very reasonable time when compared with general-purpose solvers such as CPLEX. The applicability of the step fixed-charge solid transportation problem is also shown by a real-life example of furniture production company. Computational and Applied Mathematics Springer Journals

Step fixed-charge solid transportation problem: a Lagrangian relaxation heuristic approach

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Springer International Publishing
Copyright © 2015 by SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
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