Skip to main content
Log in

Further study of minimizing total tardiness for the worker assignment scheduling problem in the identical parallel-machine models

  • Original Article
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Minimizing total tardiness in the model of an identical parallel-machine with nonpreemptive jobs of the worker assignment scheduling problem is further studied in this paper. More complicated simulation processes are established for this purpose. The specific worker assignment scheduling problem is solved in two parts of job scheduling and worker assignment. The S_PT, E_DD, S_lack (SES) heuristic is used for the job scheduling part while the largest marginal contribution (LMC) procedure is used to for the worker assignment part and then minimizes the total tardiness. From the new simulations conducted, the heuristics developed have again shown very convincing results quite efficiently.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hu P (2004) Minimizing total tardiness for the worker assignment scheduling problem in identical parallel-machine models. Int J Adv Manuf Technol 23:383–388

    Article  Google Scholar 

  2. Elmaghraby SE, Park SH (1974) Scheduling jobs on a number of identical machines. AIIE Trans 6:1–13

    MathSciNet  Google Scholar 

  3. Du J, Leung JY-H (1989) Complexity of scheduling parallel task systems. SIAM J Discrete Math 2(4):473–487

    Article  MATH  MathSciNet  Google Scholar 

  4. Ghosal D, Serazzi G, Tripathi SK (1991) The processor working set and its use in scheduling multiprocessor systems. IEEE Trans Softw Eng 17(5):443-453

    Article  Google Scholar 

  5. Feitelson DG, Rudolph L (1992) Gang scheduling performance benefits for fine-grain synchronization. J Parallel Distr Comput 16(4):306–318

    Article  MATH  Google Scholar 

  6. Wand Q, Cheng KH (1992) A heuristic of scheduling parallel tasks and its analysis. SIAM J Comput 21(2):281-294

    Article  MathSciNet  Google Scholar 

  7. Hurink J, Knust S (2001) List scheduling in a parallel machine environment with precedence constraints and setup times. Oper Res Lett 29:231–239

    Article  MATH  MathSciNet  Google Scholar 

  8. Sule DR, Vijayasundaram K (1998) A heuristic procedure for makespan minimization in job shops with multiple identical processors. Comput Ind Eng 35(3–4):399 – 402

    Google Scholar 

  9. Gupta JND, Maykut AR (1973) Scheduling jobs on parallel processors with dynamic programming. Decis Sci 4(4):447–457

    Google Scholar 

  10. Rothkopf MH (1966) Scheduling independent tasks on parallel processors. Manage Sci 12(5):437–447

    Article  MathSciNet  Google Scholar 

  11. Dogramaci A, Surkis J (1979) Evaluation of a heuristic for scheduling independent jobs on parallel identical processors. Manage Sci 25(12):1208–1216

    MATH  Google Scholar 

  12. Ho JC, Chang YL (1991) Heuristics for minimizing mean tardiness for m parallel machines. Navel Res Logist 38:367–381

    MATH  Google Scholar 

  13. Koulamas C (1997) Decomposition and hybrid simulated annealing heuristics for the parallel-machine total tardiness problem. Naval Res Logist 44:109–125

    Article  MATH  Google Scholar 

  14. Park M-W, Kim Y-D, (1997) Search heuristics for a parallel machine scheduling problem with ready times and due dates. Comput Ind Eng 33(3–4):793–796

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Po-Chieng Hu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, PC. Further study of minimizing total tardiness for the worker assignment scheduling problem in the identical parallel-machine models. Int J Adv Manuf Technol 29, 165–169 (2006). https://doi.org/10.1007/s00170-004-2487-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-004-2487-7

Keywords

Navigation