RESEARCH ARTICLE

A job-insertion heuristic for minimizing the mean flowtime in dynamic flowshops

  • Guang GUO ,
  • Bo WU ,
  • Shuzi YANG
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  • State Key Laboratory for Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China

Received date: 01 Sep 2010

Accepted date: 31 Oct 2010

Published date: 05 Jun 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

A new adaptive job-insertion based heuristic is presented to minimize the mean flowtime in a dynamic flowshop consisting of m machines. Job orders arrive to the system randomly, and the job arrival or release dates are not known in advance. The heuristic is derived by inserting new jobs into the scheduled sequence as needed when the machine becomes free. Computation results indicate that the proposed heuristic performs 2.7%–10.8% better than the SPT dispatching rule, which is currently one of the most effective methods for minimizing the mean flowtime in dynamic flowshops.

Cite this article

Guang GUO , Bo WU , Shuzi YANG . A job-insertion heuristic for minimizing the mean flowtime in dynamic flowshops[J]. Frontiers of Mechanical Engineering, 2011 , 6(2) : 197 -202 . DOI: 10.1007/s11465-011-0211-5

Acknowledgments

This work was supported by the National Key Basic Research Foundation of China (No. 2005CB724100) and the National Natural Science Foundation of China (Grant No. 50335020).
1
Stoop P P M, Wiers V C S. The complexity of scheduling in practice. International Journal of Operations & Production Management, 1996, 16(10): 37–53

DOI

2
MacCarthy B L, Liu J. Addressing the gap in scheduling research: A review of optimization and heuristic methods in production scheduling. International Journal of Production Research, 1993, 31(1): 59–79

DOI

3
Dudek R A, Panwalkar S S, Smith M L. The lessons of flowshop scheduling research. Operations Research, 1992, 40(1): 7–13

DOI

4
Rajendran C, Ziegler H. An efficient heuristic for scheduling in a flowshop to minimize total weighted flowtime of jobs. European Journal of Operational Research, 1997, 103(1): 129–138

DOI

5
Palmer D S. Sequencing jobs through a multistage process in the minimum total time: A quick method of obtaining a near-optimum. Operational Research Quarterly, 1965, 16(1): 101–107

DOI

6
Campbell H G, Dudek R A, Smith M L. A heuristic algorithm for the n-job, m-machine sequencing problem. Management Science, 1970, 16(10): B630–B637

DOI

7
Dannenbring D G. An evaluation of flowshop sequence heuristics. Management Science, 1977, 23(11): 1174–1182

DOI

8
Nawaz M, Enscore E E Jr, Ham I. A heuristic algorithm for the m-machine, n-job flowshop sequencing problem. Omega, 1983, 11(1): 91–95

DOI

9
Gupta J N D. Heuristic algorithms for multistage flowshop scheduling problem. AIIE Transactions, 1972, 4(1): 11–18

10
Rajendran C. Heuristic algorithm for scheduling in a flowshop to minimize total flowtime. International Journal of Production Economics, 1993, 29(1): 65–73

DOI

11
Ho J C. Flowshop sequencing with mean flowtime objective. European Journal of Operational Research, 1995, 81(3): 571–578

DOI

12
Woo D S, Yim H S. A heuristic algorithm for mean flowtime objective in flowshop scheduling. Computers & Operations Research, 1998, 25(3): 175–182

DOI

13
Framinan J M, Leisten R, Ruiz-Usano R. Efficient heuristics for flowshop sequencing with the objectives of makespan and flowtime minimisation. European Journal of Operational Research, 2002, 141(3): 559–569

DOI

14
Framinan J M, Gupta J N D, Leisten R. A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. Journal of the Operational Research Society, 2004, 55(12): 1243–1255

DOI

15
Ruiz R, Maroto C. A comprehensive review and evaluation of permutation flowshop heuristics. European Journal of Operational Research, 2005, 165(2): 479–494

DOI

16
Holthaus O, Rajendran C. Efficient dispatching rules for scheduling in a job shop. International Journal of Production Economics, 1997, 48(1): 87–105

DOI

17
Thiagarajan S, Rajendran C. Scheduling in dynamic assembly job-shops to minimize the sum of weighted earliness, weighted tardiness and weighted flowtime of jobs. Computers & Industrial Engineering, 2005, 49(4): 463–503

DOI

18
Sabuncuoglu I. A study of scheduling rules of flexible manufacturing systems: a simulation approach. International Journal of Production Research, 1998, 36(2): 527–546

DOI

19
Rajendran C, Holthaus O. A comparative study of dispatching rules in dynamic flowshops and jobshops. European Journal of Operational Research, 1999, 116(1): 156–170

DOI

20
Rajendran C, Ziegler H. A performance analysis of dispatching rules and a heuristic in static flowshops with missing operations of jobs. European Journal of Operational Research, 2001, 131(3): 622–634

DOI

21
Lodree E Jr, Jang W, Klein C M. A new rule for minimizing the number of tardy jobs in dynamic flow shops. European Journal of Operational Research, 2004, 159(1): 258–263

DOI

22
Branke J, Mattfeld D C. Anticipation and flexibility in dynamic scheduling. International Journal of Production Research, 2005, 43(15): 3103–3129

DOI

23
Elbouri A, Balakrishnan S, Popplewell N. Cooperative dispatching for minimizing mean flowtime in a dynamic flowshop. International Journal of Production Economics, 2008, 113(2): 819–833

DOI

24
Rajendran C, Alicke K. Dispatching in owshops with bottleneck machines. Computers & Industrial Engineering, 2007, 52(1): 89–106

DOI

25
Framinan J M, Leisten R, Rajendran C. Different initial sequences for the heuristic of Nawaz, Enscore and Ham to minimize makespan, idletime or flowtime in the static permutation flowshop sequencing problem. International Journal of Production Research, 2003, 41(1): 121–148

DOI

26
Karsiti M N, Cruz J B, Mulligan J H. Simulation studies of multilevel dynamic job shop scheduling using heuristic dispatching rules. Journal of Manufacturing Systems, 1992, 11(5): 346–358

DOI

27
Pegden C D, Shannon R E, Sadowski R P. Introduction to Simulation Using SIMAN. New York: McGraw-Hill, 1995

28
Blachstone J H, Phillips D T, Hogg G L. Astate-of-the-art survey of dispatching rules for manufacturing job shop operations. International Journal of Production Research, 1982, 20(1): 27–45

DOI

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