Comparative Study between Continuous Models and discrete models for Single Cycle Time of a Multi-Aisles Automated Storage and Retrieval System with Class Based Storage

Abstract

In this work, we arc interested to a problem of storage assignment in automated storage and retrieval system (AS/RS), and more particularly class based storage in multi-aisles AS/RS. In the first part, we developed a continuous approach. The latter is an analytical approach based on continuous approximation of the various discrete distributions modeling the exact horizontal and vertical movements of the S/R machine in each class A, B and C. Subsequently, the proposed models are validated by comparing them with discrete model. For this, we have studied several configurations to compare the results given by the discrete model and continuous model. Filially, the obtained results show that these two models arc very close to each other. This is expected because the developed expressions arc continuous approximation of discrete data. (C) 2016, IFAC(International Federation of Automatic Control) Hosting by Elsevier Ltd. All right reserved.