Skip to main content
Log in

In-house production and outsourcing under different discount schemes on the total outsourcing cost

  • S.I.: CoDIT2017-Combinatorial Optimization
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

In this paper we consider a coordinated in-house production scheduling and outsourcing model, where a manufacturer might outsource part of the production to a subcontractor so as to achieve a tight production due date. The manufacturer pays a specific outsourcing cost for each job that is outsourced. To encourage the manufacturer to outsource more jobs, the subcontractor provides a specific discount scheme on the total outsourcing cost. Previous studies focus on the balance between in-house production performance and the total outsourcing cost. Our model is the first to investigate the impact on the manufacturer’s decision-making under different discount schemes on the total outsourcing cost. Four distinct discount schemes on the total outsourcing cost are studied. We either show the intractability of those problems, or provide efficient exact or approximation algorithms.

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

  • Bartal, Y., Leonardi, S., Spaccamela, A. M., Sgall, J., & Stougie, L. (2000). Multiprocessor scheduling with rejection. SIAM Journal on Discrete Mathematics, 13, 64–78.

    Article  Google Scholar 

  • Choi, B. C., & Chung, J. B. (2011). Two-machine flow shop scheduling problem with an outsourcing option. European Journal of Operational Research, 213, 66–72.

    Article  Google Scholar 

  • Choi, B. C., & Chung, K. H. (2016). Min-max regret version of a scheduling problem with outsourcing decisions under processing time uncertainty. European Journal of Operational Research, 252, 367–375.

    Article  Google Scholar 

  • Garey, M. R., & Johnson, D. S. (1979). Computers and intractablity: A guide to the theory of NP-completeness. San Francisco, CA: Freeman.

    Google Scholar 

  • Lee, Y. H., Jeong, C. S., & Moon, C. (2002). Advanced planning and scheduling with outsourcing in manufacturing supply chain. Computer & Industrial Engineering, 43, 351–374.

    Article  Google Scholar 

  • Lee, I. S., & Sung, C. S. (2008a). Minimizing due date related measures for a single machine scheduling problem with outsourcing allowed. European Journal of Operational Research, 186, 931–952.

    Article  Google Scholar 

  • Lee, I. S., & Sung, C. S. (2008b). Single machine scheduling with outsourcing allowed. International Journal of Production Economics, 101, 623–634.

    Article  Google Scholar 

  • Lee, H. L., & Rosenblatt, M. J. (1986). A generalized quantity discount pricing model to increase supplier’s profits. Management Science, 32, 1177–1185.

    Article  Google Scholar 

  • Li, C. L., Ou, J. W., & Hsu, V. N. (2012). Dynamic lot sizing with all-units discount and resales. Naval Research Logistics, 59, 230–243.

    Article  Google Scholar 

  • Lu, L. F., Yuan, J. J., & Zhang, L. Q. (2008). The unbounded parallel batch machine scheduling with release dates and rejection to minimize makespan. Theoretical Computer Science, 396, 283–289.

    Article  Google Scholar 

  • Ou, J. W., Zhong, X. L., & Li, C.-L. (2016). Faster algorithms for single machine scheduling with release dates and rejection. Information Processing Letters, 116, 503–507.

    Article  Google Scholar 

  • Ou, J. W., & Zhong, X. L. (2017a). Order acceptance and scheduling with consideration of service level. Annals of Operations Research, 248, 429–447.

    Article  Google Scholar 

  • Ou, J. W., & Zhong, X. L. (2017b). Bicriteria order acceptance and scheduling with consideration of fill rate. European Journal of Operational Research, 262, 904–907.

    Article  Google Scholar 

  • Qi, X. T. (2008). Coordinated logistics scheduling for in-house production and outsourcing. IEEE Transactions on Automation Science & Engineering, 5, 188–192.

    Article  Google Scholar 

  • Qi, X. T. (2011). Outsourcing and production scheduling for a two-stage flow shop. International Journal of Production Economics, 129, 43–50.

    Article  Google Scholar 

  • Shabtay, D., Gaspar, N., & Kaspi, M. (2013). A survey on off-line scheduling with rejection. Journal of Scheduling, 16, 3–28.

    Article  Google Scholar 

  • Shakhlevich, N. V., Shioura, A., & Strusevich, V. A. (2009). Single machine scheduling with controllable processing times by submodular optimization. International Journal of Foundations of Computer Science, 20, 247–269.

    Article  Google Scholar 

  • Shioura, A., Shakhlevich, N. V., & Strusevich, V. A. (2018). Preemptive models of scheduling with controllable processing times and of scheduling with imprecise computation: A review of solution approaches. European Journal of Operational Research, 266, 795–818.

    Article  Google Scholar 

  • Slotnick, S. A. (2011). Order acceptance and scheduling: A taxonomy and review. European Journal of Operational Research, 212, 1–11.

    Article  Google Scholar 

  • Zhang, L. Q., Lu, L. F., & Yuan, J. J. (2009). Single machine scheduling with release dates and rejection. European Journal of Operational Research, 198, 975–978.

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank two anonymous referees for their comments and suggestions. This research was supported in part by NSFC (11771406, 11571321, and U1504103).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinwen Ou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, L., Zhang, L. & Ou, J. In-house production and outsourcing under different discount schemes on the total outsourcing cost. Ann Oper Res 298, 361–374 (2021). https://doi.org/10.1007/s10479-018-2866-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-018-2866-3

Keywords

Navigation