A parallel memetic algorithm applied to the total tardiness machine scheduling problem

This work proposes a parallel memetic algorithm applied to the total tardiness single machine scheduling problem. Classical models of parallel evolutionary algorithms and the general structure of memetic algorithms are discussed. The classical model of global parallel genetic algorithm was used to model the global parallel memetic analogue where the parallelization is only applied to the individual optimization phase of the algorithm. Computational tests show the efficiency of the parallel approach when compared to the sequential version. A set of eight instances, with sizes ranging from 56 up to 323 jobs and with known optimal solutions, is used for the comparisons.

[1]  Erick Cantú-Paz,et al.  A Survey of Parallel Genetic Algorithms , 2000 .

[2]  Pablo Moscato,et al.  A New Memetic Algorithm for the Asymmetric Traveling Salesman Problem , 2004, J. Heuristics.

[3]  Keah Choon Tan,et al.  Minimizing Tardiness on a Single Processor with Sequence Dependent Setup Times: A Simulated Annealing Approach , 1997 .

[4]  Pablo Moscato,et al.  Metaheuristic Approaches for the Pure Flowshop Manufacturing Cell Problem , 2000 .

[5]  Paul A. Rubin,et al.  Scheduling in a sequence dependent setup environment with genetic search , 1995, Comput. Oper. Res..

[6]  E.L. Lawler,et al.  Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey , 1977 .

[7]  Pablo Moscato,et al.  A memetic algorithm for the total tardiness single machine scheduling problem , 2001, Eur. J. Oper. Res..

[8]  P. Moscato,et al.  Comparing metaheuristic approaches for parallel machine scheduling problems , 2022 .

[9]  David E. Goldberg,et al.  Efficient Parallel Genetic Algorithms: Theory and Practice , 2000 .

[10]  Dan Boneh,et al.  On genetic algorithms , 1995, COLT '95.

[11]  Joseph Y.-T. Leung,et al.  Minimizing Total Tardiness on One Machine is NP-Hard , 1990, Math. Oper. Res..

[12]  Michael Pinedo,et al.  A heuristic to minimize the total weighted tardiness with sequence-dependent setups , 1997 .

[13]  Martina Gorges-Schleuter,et al.  ASPARAGOS An Asynchronous Parallel Genetic Optimization Strategy , 1989, ICGA.

[14]  Pablo Moscato,et al.  Evolutionary algorithms for scheduling a flowshop manufacturing cell with sequence dependent family setups , 2005, Comput. Ind. Eng..

[15]  Ram Rachamadugu,et al.  Real-time scheduling of an automated manufacturing center * , 1989 .

[16]  Stephen C. Graves,et al.  A Review of Production Scheduling , 1981, Oper. Res..

[17]  Erick Cantú-Paz.  Designing efficient master-slave parallel genetic algorithms , 1997 .

[18]  Pablo Moscato,et al.  Comparing meta-heuristic approaches for parallel machine scheduling problems , 2002 .

[19]  Pablo Moscato,et al.  On Evolution, Search, Optimization, Genetic Algorithms and Martial Arts : Towards Memetic Algorithms , 1989 .

[20]  Pablo Moscato,et al.  Fitness landscapes for the Total Tardiness Single Machine Scheduling problem , 2022 .