Skip to main content
SpringerLink
Log in

Unrelated parallel-machine scheduling with deteriorating maintenance activities to minimize the total completion time

  • Original Paper
  • Published:
Optimization Letters Aims and scope Submit manuscript

Abstract

Wang et al. (J Operat Res Soc 62: 1898–1902, 2011) studied the m identical parallel-machine and unrelated parallel-machine scheduling with a deteriorating maintenance activity to minimize the total completion time. They showed that each problem can be solved in O(n 2m+3) time, where n is the number of jobs. In this note, we discuss the unrelated parallel-machine setting and show that the problem can be optimally solved by a lower order algorithm.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beyranvand, M.S., Reza Peyghami, M., Ghatee, M.: On the quadratic model for unrelated parallel machine scheduling problem with restrictive common due date. Optim. Lett. doi:10.1007/s11590-011-0385-0 (2011)

  2. Brucker P.: Scheduling Algorithms. Springer-Verlag, Berlin (2007)

    MATH  Google Scholar 

  3. Cheng T.C.E., Hsu C.J., Yang D.L.: Unrelated parallel-machine scheduling with deteriorating maintenance activities. Comput. Indus. Eng. 60, 602–605 (2011)

    Article  Google Scholar 

  4. Gawiejnowicz S.: Time-Dependent Scheduling. Springer-Verlag, Berlin (2008)

    MATH  Google Scholar 

  5. Kubzin M.A., Strusevich V.A.: Planning machine maintenance in two-machine shop scheduling. Operat. Res. 54, 789–800 (2006)

    Article  MATH  Google Scholar 

  6. Lee C.Y., Leon V.J.: Machine scheduling with a rate-modifying activity. Eur. J. Operat. Res. 129, 119–128 (2001)

    Article  MathSciNet  Google Scholar 

  7. Lee C.Y., Yu G.: Parallel-machine scheduling under potential disruption. Optim. Lett. 2, 27–37 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Li C.L.: Viewpoints: a note on unrelated parallel machine scheduling with time-dependent processing times. J. Operat. Res. Soc. 59, 1696–1697 (2008)

    Article  MATH  Google Scholar 

  9. Ma Y., Chu C., Zuo C.: A survey of scheduling with deterministic machine availability constraints. Comput. Indus. Eng. 58, 199–211 (2010)

    Article  Google Scholar 

  10. Mosheiov G., Sidney J.B.: Scheduling a deteriorating maintenance activity on a single machine. J. Operat. Res. Soc. 61, 882–887 (2010)

    Article  MATH  Google Scholar 

  11. Pardalos P.M.: Complexity in Numerical Optimization. World Scientific, Singapore (1993)

    Book  MATH  Google Scholar 

  12. Ravetti M.G., Mateus G.R., Rocha P.L., Pardalos P.M.: A scheduling problem with unrelated parallel machines and sequence dependent setups. Int. J. Operat. Res. 2(4), 380–399 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  13. Rocha P.L., Ravetti M.G., Mateus G.R., Pardalos P.M.: Exact algorithms for a scheduling problem with unrelated parallel machines and sequence and machine-dependent setup times. Comput. Operat. Res. 35(4), 1250–1264 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  14. Setamaa-Karkkainen A., Miettinen K., Vuori J.: Heuristic for a new multiobjective scheduling problem. Optim. Lett. 1, 213–225 (2007)

    Article  MathSciNet  Google Scholar 

  15. Wang J.-J., Wang J.-B., Liu F.: Parallel machines scheduling with a deteriorating maintenance activity. J. Operat. Res. Soc. 62, 1898–1902 (2011)

    Article  Google Scholar 

  16. Wang J.-B., Wang M.-Z.: Worst-case behavior of simple sequencing rules in flow shop scheduling with general position-dependent learning effects. Ann. Operat. Res. 191, 155–169 (2011)

    Article  MATH  Google Scholar 

  17. Wang J.-B., Wang M.-Z.: Single-machine scheduling with nonlinear deterioration. Optim. Lett. 6, 87–98 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  18. Wang, J.-B., Ji, P., Cheng, T.C.E., Wang, D.: Minimizing makespan in a two-machine flow shop with effects of deterioration and learning. Optim. Lett. doi:10.1007/s11590-011-0334-y (2011)

  19. Wang, J.-B., Wang, X.-Y., Sun, L.-H., Sun, L.-Y.: Scheduling jobs with truncated exponential learning functions. Optim. Lett. doi:10.1007/s11590-011-0433-9 (2011)

  20. Wang J.-B., Wei C.-M.: Parallel machines scheduling with a deteriorating maintenance activity and total absolute differences penalties. Appl. Math. Comput. 217, 8093–8099 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  21. Wang J.-B., Wu Y.-B., Ji P.: A revision of some single-machine and m-machine flowshop scheduling problems with learning considerations. Inform. Sci. 190, 227–232 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  22. Zhao C.-L., Tang H.-Y.: A note on two-machine no-wait flow shop scheduling with deteriorating jobs and machine availability constraints. Optim. Lett. 5, 183–190 (2011)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

    Li-Yan Wang & En-Min Feng

  2. School of Science, Shenyang Aerospace University, Shenyang, Liaoning, 110136, China

    Xue Huang

  3. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Ping Ji

Authors
  1. Li-Yan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xue Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ping Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. En-Min Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xue Huang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, LY., Huang, X., Ji, P. et al. Unrelated parallel-machine scheduling with deteriorating maintenance activities to minimize the total completion time. Optim Lett 8, 129–134 (2014). https://doi.org/10.1007/s11590-012-0472-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11590-012-0472-x

Keywords

Search

Navigation