A comparison of heuristics for mean flow time open shop scheduling
Information Control Problems in Manufacturing, Volume # 12 | Part# 1
Authors
Heidemarie Brasel; Andre Herms; Marc Morig; Thomas Tautenhahn; Jan Tusch; Frank Werner; Per Willenius
Digital Object Identifier (DOI)
10.3182/20060517-3-FR-2903.00072
Page Numbers:
119-124
Index Terms
schedule algorithms,multimachine,optimization,implementation
Abstract
In this paper, the problem of scheduling n jobs on m machines in an open shop environment is considered so that mean flow time becomes minimal. Since this problem is strongly NP-hard, different constructive and iterative heuristic algorithms are developed and discussed. Computational results are presented for problems with up to 50 jobs and 50 machines, respectively. The quality of the solutions is estimated by a lower bound for the corresponding preemptive open shop problem and by an alternative estimation of mean flow time.
References
[1] Achugbue, J.O. and F.Y. Chin (1982). Scheduling
the open shop to minimize mean flow time.
SIAM J. on Computing 11, 709-720.
[2] Alcaide, D., J. Sicilia and D. Vigo (1997). A tabu
search algorithm for the open shop problem.
Top 5, 283-286.
[3] Blum, C. (2005). Beam-aco - hybridizing ant
colony optimization with beam search: An
application to open shop scheduling. Comput.
Oper. Res. 32, 1595-1591.
[4] Bräsel, H. and H. Hennes (2004). On the open-shop
problem with preemption and minimizing
the average completion time. European J.
Oper. Res. 157, 607-619.
[5] Bräsel, H., T. Tautenhahn and F. Werner (1993).
Constructive heuristic algorithms for the
open-shop problem. Computing 51, 95-110.
[6] Brucker, P., J. Hurink, B. Jurisch
and B. Wöstmann (1997). A branch-and-bound
algorithm for the open-shop problem.
Discrete Applied Mathematics 76, 43-59.
[7] Dorndorf, U., E. Pesch and T. Phan-Huy (2001).
Solving the open shop scheduling problem.
Journal of Scheduling 4, 157-174.
[8] Gonzalez, S. and T. Sahni (1976). Open shop
scheduling to minimize finish time. J. Assoc.
of Comput. Mach. 23, 665-679.
[9] Gueret, C., N. Jussien and C. Prins (2000).
Using intelligent backtracking to improve
branch-and-bound methods: An application
to open-shop problems. European J. Oper.
Res. 127, 344-354.
[10] Kubiak, W., C. Sriskandarajah and K. Zaras
(1991). A note on the complexity of open shop
scheduling problems. INFOR 29, 284-294.
[11] Liaw, C.-F. (2000). A hybrid genetic algorithm for
the open shop scheduling problem. European
J. Oper. Res. 124, 28-42.
[12] Liaw, C.-F., C.-Y. Cheng and M. Chen (2002).
The total completion time open shop scheduling
problem with a given sequence of jobs on
one machine. Comput. Oper. Res. 29, 1251-
1266.
[13] Liu, C.Y. and R.L. Bulfin (1987). Scheduling
ordered open shops. Comput. Oper. Res.
14, 257-264.
[14] Prins, C. (1994). An overview of scheduling
problems arising in satellite communications.
Journal Oper. Res. Soc. 40, 611-623.
[15] Queyranne, M. and M. Sviridenko (2002). Approximation
algorithms for shop scheduling
problems with minsum objective. Journal of
Scheduling 5, 287-305.
[16] Werner, F. and A. Winkler (1995). Insertion techniques
for the heuristic solution of the job
shop problem. Discrete Appl. Math. 50, 191-
211.
