Dynamic stability metrics for the container loading problem |
| |
| Institution: | 1. INESC-TEC and Faculty of Engineering, University of Porto, Portugal;2. CIDEM, School of Engineering, Polytechnic of Porto, Portugal;3. LIAAD, INESC-TEC and Faculty of Economics, University of Porto, Portugal;1. CIDEM, School of Engineering, Polytechnic of Porto, Portugal;2. INESC TEC, Portugal;1. University of Castilla-La Mancha, Department of Mathematics, Albacete, Spain;2. University of Valencia, Department of Statistics and Operations Research, Burjassot, Valencia, Spain;3. University of Modena Reggio Emilia, Department of Sciences and Methods for Engineering, Reggio Emilia, Italy;1. Centro de Investigación y Estudios de Matemática (CIEM), (CONICET- Universidad Nacional de Córdoba), Medina Allende s/n, Cdad. Universitaria, X5016HUA Córdoba, Argentina;2. Centro de Investigación, Desarrollo y Transferencia de Sistemas de Información (CIDS), Universidad Tecnológica Nacional - Facultad Regional Córdoba, Maestro M. Lopez esq, Cruz Roja Argentina, X5016HUA Córdoba, Argentina;3. Facultad de Ciencias Exactas, Físicas y Naturales. Universidad Nacional de Córdoba, Av. Vélez Sarsfield 1611, X5016GCA Córdoba, Argentina;4. Coca-Cola Andina Argentina. Ruta 19, km 3.7, X5000 Córdoba, Argentina;5. Instituto de Investigación y Desarrollo en Ingeniería de Procesos y Química Aplicada (IPQA), (CONICET- Universidad Nacional de Córdoba), Av. Vélez Sarsfield 1611, X5016GCA Córdoba, Argentina;1. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China;2. School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo 2007, Australia;3. Department of Information Management, Fu Jen Catholic University, New Taipei City 24205, Taiwan |
| |
| Abstract: | The Container Loading Problem (CLP) literature has traditionally evaluated the dynamic stability of cargo by applying two metrics to box arrangements: the mean number of boxes supporting the items excluding those placed directly on the floor (M1) and the percentage of boxes with insufficient lateral support (M2). However, these metrics, that aim to be proxies for cargo stability during transportation, fail to translate real-world cargo conditions of dynamic stability.In this paper two new performance indicators are proposed to evaluate the dynamic stability of cargo arrangements: the number of fallen boxes (NFB) and the number of boxes within the Damage Boundary Curve fragility test (NB_DBC). Using 1500 solutions for well-known problem instances found in the literature, these new performance indicators are evaluated using a physics simulation tool (StableCargo), replacing the real-world transportation by a truck with a simulation of the dynamic behaviour of container loading arrangements.Two new dynamic stability metrics that can be integrated within any container loading algorithm are also proposed. The metrics are analytical models of the proposed stability performance indicators, computed by multiple linear regression. Pearson’s r correlation coefficient was used as an evaluation parameter for the performance of the models. The extensive computational results show that the proposed metrics are better proxies for dynamic stability in the CLP than the previous widely used metrics. |
| |
| Keywords: | Container loading problem Dynamic stability Physics engine |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
