• Juan J. González-Barbosa
• Laura Cruz-Reyes
• Héctor J. Fraire-Huacuja
• Víctor J. Sosa Sosa
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 50)

## Abstract

In this paper the Routing-Scheduling-Loading Problem (RoSLoP) is approached. This is a rich bin packing (BPP) and vehicle routing (VRP) problem formulated to satisfy the transportation requirements of a bottling company located in Mexico. The initial formulation of the problem uses 29 integer variables and 30 constraints making difficult to find the exact solution even for small instances. In this work it is proposed a transformation function that reduces the size of the problem formulation which allows obtaining the optimal solution of small instances using an exact algorithm. Experimental results of the performance evaluation of an approximated solution method, with regard to the optimal solution, are showed. It is important to emphasize, that this is the first time that this kind of evaluation is carried out for RoSLoP. In the experiments a set of 12 test instances were selected from the company database. The experimental evidence shows that the transformation function reduces 97% the number of customers orders. The percentage quality error for the traveled distance was 0% and for the vehicles used was 6.19%. Now these results can be used to evaluate the performance of any new approximation solution method of RoSLoP.

## Keywords

Complexity Routing-Scheduling-Loading Problem (RoSLoP) Vehicle Routing Problem (VRP) Bin Packing Problem (BPP)

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## Authors and Affiliations

• Juan J. González-Barbosa
• 1
• Laura Cruz-Reyes
• 1