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Soft Computing
Published in: Soft Computing 8/2015

01-08-2015 | Methodologies and Application

Designing closed-loop supply chains with nonlinear dimensioning factors using ant colony optimization

Authors: P. F. Vieira, S. M. Vieira, M. I. Gomes, A. P. Barbosa-Póvoa, J. M. C. Sousa

Published in: Soft Computing | Issue 8/2015

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Abstract

Closed-loop supply chain (CLSC) design implies the modelling of the forward and the reverse flows of products in an integrated way. This paper introduces nonlinear dimensioning factors in the design of CLSC and uses ant colony optimization to optimize the design of the supply chain. The proposed algorithm is called SCAnt-NLDesign. The modelled nonlinear dimensioning factors are: cost variations in transportation distances between facilities (tapering principle), scale economies related to transported quantities, and scale economies regarding the facilities’ capacity. Results show that the proposed SCAnt-NLDesign algorithm reduced the total cost in 44 %, when compared to a linear formulation of a CLSC. Note also that a mixed integer linear programming implementation of the nonlinear CLSC was not able to get closed to the optimal solution, given worse results than the linear CLSC.
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Footnotes
1
A directed graph, also known as a network, is a finite set of nodes and a set of edges that are defined as ordered pairs of nodes. This order implies a one-way connection between nodes. If a scalar weight is associated with every edge the directed graph is called edge-weighted (Christou 2012).
 
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Metadata
Title
Designing closed-loop supply chains with nonlinear dimensioning factors using ant colony optimization
Authors
P. F. Vieira
S. M. Vieira
M. I. Gomes
A. P. Barbosa-Póvoa
J. M. C. Sousa
Publication date
01-08-2015
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 8/2015
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-014-1405-7

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