Utilising the chaos-induced discrete self organising migrating algorithm to schedule the lot-streaming flowshop scheduling problem with setup time

Abstract

The dissipative Lozi chaotic map is embedded in the Discrete Self Organising Migrating (DSOMA) algorithm, as a pseudorandom generator. This novel chaotic based algorithm is applied to the constraint based Lot-Streaming Flowshop scheduling problem. Two new and unique data sets generated using the Lozi and Dissipative maps are used to compare the chaos embedded DSOMA (DSOMAc) and the generic DSOMA utilising the venerableMersenne Twister. In total, 100 data sets were tested by the two algorithms, for the idling and the non-idling case. From the obtained results, the DSOMAc algorithm is shown to significantly improve the performance of generic DSOMA. © Springer International Publishing Switzerland 2013.