Heuristics for a two-stage assembly flowshop with bicriteria of maximum lateness and makespan

We consider a two-stage assembly flowshop scheduling problem with the objective of minimizing a weighted sum of makespan and maximum lateness. The problem is known to be NP-hard, and therefore, we propose heuristics to solve the problem. The proposed heuristics are Tabu search (Tabu), particle swarm optimization (PSO), and self-adaptive differential evolution (SDE). An extensive computational experiment is conducted to compare performances of the proposed heuristics. The computational experiment reveals that both PSO and SDE are much superior to Tabu. Moreover, it is statistically shown that PSO performs better than SDE. The computation times of both PSO and SDE are close to each other and they are less than 40 and 45s, respectively, for the largest size problem considered.

[1]  Fawaz S. Al-Anzi,et al.  Evolutionary heuristics and an algorithm for the two-stage assembly scheduling problem to minimize makespan with setup times , 2006 .

[2]  Fawaz S. Al-Anzi,et al.  A self-adaptive differential evolution heuristic for two-stage assembly scheduling problem to minimize maximum lateness with setup times , 2007, Eur. J. Oper. Res..

[3]  O. V. Krishnaiah Chetty,et al.  Metaheuristics for solving economic lot scheduling problems (ELSP) using time-varying lot-sizes approach , 2007 .

[4]  Chris N. Potts,et al.  The Two-Stage Assembly Scheduling Problem: Complexity and Approximation , 1995, Oper. Res..

[5]  Ivan Zelinka,et al.  ON STAGNATION OF THE DIFFERENTIAL EVOLUTION ALGORITHM , 2000 .

[6]  Andries Petrus Engelbrecht,et al.  Self-adaptive Differential Evolution , 2005, CIS.

[7]  Imtiaz Ahmad,et al.  Particle swarm optimization for task assignment problem , 2002, Microprocess. Microsystems.

[8]  V. Perdomo,et al.  Operating Theatre Scheduling Using Lagrangian Relaxation , 2006, 2006 International Conference on Service Systems and Service Management.

[9]  Arthur C. Sanderson,et al.  Pareto-based multi-objective differential evolution , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[10]  P. Lopez,et al.  Climbing depth-bounded discrepancy search for solving hybrid flow shop problems , 2007 .

[11]  Jatinder N. D. Gupta,et al.  A review of scheduling research involving setup considerations , 1999 .

[12]  S. M. Johnson,et al.  Optimal two- and three-stage production schedules with setup times included , 1954 .

[13]  Xi Sun,et al.  Powerful heuristics to minimize makespan in fixed, 3-machine, assembly-type flowshop scheduling , 2003, Eur. J. Oper. Res..

[14]  Chung-Yee Lee,et al.  Minimizing the makespan in the 3-machine assembly-type flowshop scheduling problem , 1993 .

[15]  Tarek Y. ElMekkawy,et al.  Bi-criteria scheduling of a flowshop manufacturing cell with sequence dependent setup times , 2007 .

[16]  Yeong-Dae Kim,et al.  A new branch and bound algorithm for minimizing mean tardiness in two-machine flowshops , 1993, Comput. Oper. Res..

[17]  Emmanuel Neron,et al.  An unrelated parallel machines model for an industrial production resetting problem , 2008 .

[18]  Michel Gourgand,et al.  Modelling and solving a multimode and multisite industrial problem: Lagrangean relaxation and heuristic approaches , 2008 .

[19]  Tarek Y. ElMekkawy,et al.  Deadlock-free scheduling of flexible job shops with limited capacity buffers , 2008 .

[20]  Godfrey C. Onwubolu,et al.  Scheduling flow shops using differential evolution algorithm , 2006, Eur. J. Oper. Res..

[21]  Bala Ram,et al.  Parameter setting in a bio-inspired model for dynamic flexible job shop scheduling with sequence-dependent setups , 2007 .

[22]  Fawaz S. Al-Anzi,et al.  The two-stage assembly flowshop scheduling problem with bicriteria of makespan and mean completion time , 2008 .

[23]  Frans van den Bergh,et al.  An analysis of particle swarm optimizers , 2002 .

[24]  Jorge M. S. Valente.  Heuristics for the single machine scheduling problem with early and quadratic tardy penalties , 2007 .

[25]  C. Potts,et al.  A branch and bound algorithm for the two-stage assembly scheduling problem , 1997 .

[26]  B. Babu,et al.  Differential evolution for multi-objective optimization , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[27]  Fawaz S. Al-Anzi,et al.  A PSO and a Tabu search heuristics for the assembly scheduling problem of the two-stage distributed database application , 2006, Comput. Oper. Res..

[28]  Xiaoyun Xu,et al.  Influencing factors of job waiting time variance on a single machine , 2007 .