Skip to main content
SpringerLink
Log in

Two-machine flowshop scheduling in a physical examination center

  • Published:
Journal of Combinatorial Optimization Aims and scope Submit manuscript

Abstract

In this paper, we formulate two important operational processes of the physical examination center as a group scheduling problem in two-machine flowshop. The objective is to minimize the makespan. We first analyze the complexity of the problem with a fixed number of release dates and present a pseudo-polynomial-time algorithm. Then we provide an approximation algorithm and analyze its worst-case error bounds for the problem with two release dates and an optimal algorithm for a very practical special case of the problem.

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

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Ahmadi R, Bagchi U (1990) Scheduling of multi-job customer orders in multi-machine environments. ORSA/TIMS Philadelphia

  • Fan B, Cheng T (2016) Two-agent scheduling in a flowshop. Eur J Oper Res 252:376–384

    Article  MathSciNet  MATH  Google Scholar 

  • Garey M, Johnson D (1979) Computers and intractability: a guide to the theory of NP-completeness. Freeman, San Francisco

    MATH  Google Scholar 

  • Hall L (1994) A polynomial approximation scheme for a constrained flow-shop scheduling problem. Math Oper Res 19(1):68–85

    Article  MathSciNet  MATH  Google Scholar 

  • Johnson S (1954) Optimal two- and three-stage production schedules with setup times included. Nav Res Logist Q 1:61–68

    Article  MATH  Google Scholar 

  • Jia Y, Guo R (2013) Optimal management of hospital physical examination process. Chin Med Rec 14(3):27–28

    Google Scholar 

  • Kashyrskikh K, Potts C, Sevastianoy S (2001) A 3/2-approximation algorithm for two-machine flow-shop sequencing subject to release dates. Discrete Appl Math 114:255–271

    Article  MathSciNet  MATH  Google Scholar 

  • Lee C (1997) Minimizing the makespan in the two-machine flowshop scheduling problem with an availability constraint. Oper Res Lett 20:129–139

    Article  MathSciNet  MATH  Google Scholar 

  • Lin B, Cheng T (2011) Scheduling with centralized and decentralized batching policies in concurrent open shops. Nav Res Logist 58:17–27

    Article  MathSciNet  MATH  Google Scholar 

  • Lee C, Cheng T, Lin B (1993) Minimizing the makespan in three-machine assembly type flow shop problem. Manag Sci 39:616–625

    Article  MATH  Google Scholar 

  • Leung J, Li H, Pinedo M (2006) Scheduling orders for multiple product types with duedate related objectives. Eur J Oper Res 168:370–389

    Article  MATH  Google Scholar 

  • Lenstra J, Rinnooy Kan A, Brucker P (1977) Complexity of machine scheduling problems. Ann Discrete Math 1:343–362

    Article  MathSciNet  MATH  Google Scholar 

  • Ng C, Cheng T, Yuan J (2003) Concurrent open shop scheduling to minimize the weighted number of tardy jobs. J Sched 6:405–412

    Article  MathSciNet  MATH  Google Scholar 

  • Pan J, Shan J, Li G, Wu Z (2016) Report on urban development of China No.9: the road to healthy city. Social Sciences Academic Press, China

    Google Scholar 

  • Potts C (1985) Analysis of heuristics for two-machine flow-shop sequencing subject to release dates. Math Oper Res 10(4):576–584

    Article  MathSciNet  MATH  Google Scholar 

  • Potts C, Sevastyanov S, Strusevich V, Van Wassenhove L, Zwaneveld C (1995) The two-stage assembly scheduling problem: complexity and approximation. Oper Res 43:346–355

    Article  MathSciNet  MATH  Google Scholar 

  • Su Q, Yao X, Jiang Z, Zhang G (2006) Process reengineering and information system design for physical examination center. IFAC Proc 39(3):689–693

    Article  Google Scholar 

  • Wang D, Liu F, Yin Y, Wang J, Wang Y (2015) Prioritized surgery scheduling in face of surgeon tiredness and fixed off-duty period. J Comb Optim 30(4):967–981

    Article  MathSciNet  MATH  Google Scholar 

  • Yang J (2011) Customer order scheduling in a two machine flowshop. Int J Manag Sci 17:95–116

    Google Scholar 

  • Yan Y, Wang Y, Zheng W, Xu J (2016) Construction of physical examination self service information management system and its application effect. Hosp Admin J PLA 23(4):336–338

    Google Scholar 

  • Zhong L, Luo S, Wu L, Xu L, Yang J, Tang G (2014) A two-stage approach for surgery scheduling. J Comb Optim 27(3):545–556

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang X, Wang H, Wang X (2015) Patients scheduling problems with deferred deteriorated functions. J Comb Optim 30(4):1027–1041

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This research was supported by the Shandong Province Natural Science Foundation under Grant Nos. ZR2015AM005 and ZR2014FM029. In addition, the third author was also supported by the Shandong Province Higher Educational Science and Technology Program under Grant No. J14L106.

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistic Science, Ludong University, Yantai, 264025, Shandong, People’s Republic of China

    Yadong Wang, Baoqiang Fan & Jingang Zhai

  2. Department of Spinal Surgery, Yantai Affiliated Hospital of Binzhou Medical University, Yantai, 264025, Shandong, People’s Republic of China

    Wei Xiong

Authors
  1. Yadong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Baoqiang Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jingang Zhai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wei Xiong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Baoqiang Fan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Y., Fan, B., Zhai, J. et al. Two-machine flowshop scheduling in a physical examination center. J Comb Optim 37, 363–374 (2019). https://doi.org/10.1007/s10878-017-0233-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10878-017-0233-y

Keywords

Search

Navigation