Skip to main content
Log in

Augmented ε-constraint method in multiobjective staff scheduling problem: a case study

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Staff scheduling is one of the most relevant issues among production planning managers. The problem is to set up an appropriate schedule for various employees to maximize the performance measurement. There are different conflicting criteria with any scheduling problem such as cost minimization, efficiency maximization, etc. The proposed model of this paper develops a new multiobjective decision-making scheduling problem, and the resulted problem is solved using two different techniques of goal programming and augmented epsilon constraint. The implementation of the new proposed model is demonstrated with a real-world case study, and they are analyzed. The preliminary results indicate that the epsilon-constraint method somewhat performs better than goal programming technique.

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. Chu SCK, Zhu M (2008) Data and GP modeling framework for manpower planning. The case of fixed-length duties. Department of Mathematics, University of Hong Kong, Hong Kong

    Google Scholar 

  2. Detienne B, Péridy L, Pinson E, Rivreau D (2009) Cut generation for an employee timetabling problem. Eur J Oper Res 197:1178–1184

    Article  MATH  Google Scholar 

  3. Matta RD, Peters E (2009) Developing work schedules for an inter-city transit system with multiple driver types and fleet types. Eur J Oper Res 192:852–865

    Article  MATH  Google Scholar 

  4. Lasry A, McInnis D, Soumis F, Desrosiers J, Solomon M (2000) Air Transat uses ALTITUDE to manage its aircraft routing, crew pairing, and work assignment. Interfaces 30(2):35–41

    Google Scholar 

  5. Ernst A, Jiang H, Krishnamoorthy M, Nott H, Sier D (2001) An integrated optimization model for train crew management. Ann Oper Res 108:211–224

    Article  MATH  Google Scholar 

  6. Caprara A, Monaci M, Toth P (2001) A global method for crew planning in railway applications. In: Voss S, Daduna J (eds) Computer-aided scheduling of public transport lecture notes in economics and mathematical systems, vol. 505. Springer, Berlin, pp 17–36

    Chapter  Google Scholar 

  7. Chu S, Chan E (1998) Crew scheduling of light rail transit in Hong Kong: from modeling to implementation. Comput Oper Res 25(11):887–894

    Article  MATH  Google Scholar 

  8. Glen J (1975) A dynamic programming model for work scheduling in a shipyard. Oper Res Q 26(4):787–799

    Article  Google Scholar 

  9. Sarin S, Aggarwal S (2001) Modeling and algorithmic development of a staff scheduling problem. Eur J Oper Res 128:558–569

    Article  MATH  Google Scholar 

  10. Robbins TR (2007) Addressing arrival rate uncertainty in call center workforce management. Penn State University, State College, Doctoral dissertation

    Google Scholar 

  11. Ernst AT, Jiang H, Krishnamoorthy M, Sier D (2004) Staff scheduling and rostering: a review of applications, methods and models. Eur J Oper Res 153:3–27

    Article  MATH  MathSciNet  Google Scholar 

  12. Topaloglu S (2009) A shift scheduling model for employees with different seniority levels and an application in healthcare. Eur J Oper Res 198:943–957

    Article  MATH  Google Scholar 

  13. Massey L, Esain A, Wallis M (2009) Managing the complexity of nurse shortages: a case study of bank and agency staffing in an acute care Trust in Wales, UK. Int J Nurs Stud 46:912–919

    Article  Google Scholar 

  14. Vanhoucke M, Maenhout B (2009) On the characterization and generation of nurse scheduling problem instances. Eur J Oper Res 196:457–467

    Article  MATH  Google Scholar 

  15. Tsai CC, Li SHA (2009) A two-stage modeling with genetic algorithms for the nurse scheduling problem. Expert Syst Appl 36:9506–9512

    Article  Google Scholar 

  16. Beliën J (2007) Exact and heuristic methodologies for scheduling in hospitals: problems, formulations and algorithms. Decision Sciences and Information Management, Faculty of Economics and Applied Economics, Katholieke Universities Leuven, Belgium, Doctoral dissertation

    Google Scholar 

  17. An L, Subramanian D (2009) Integrated short-term staffing and long-term resource action planning for services projects. IBM T.J. Watson Research Center

  18. Sureshkumar MR, Madhusudanan Pillai V (2012) An efficient method to reduce relative capacity shortage using annualised hours planning. Int J Adv Manuf Technol 65(1–4):571–580

    Google Scholar 

  19. Sureshkumar MR, Madhusudanan Pillai V (2012) Planning annuaulised hours when spike in demand exists. Int J Ind Eng Comput 3:313–320

    Google Scholar 

  20. Heydari M, Mahdavi Mazdeh M, Bayat M (2013) Scheduling stochastic two-machine flow shop problems to minimize expected makespan. Decision Science Letters 2:163–174. doi: 10.5267/j.dsl.2013.04.005

  21. Sabar M, Montreuil B, Frayret JM (2009) A multi-agent-based approach for personnel scheduling in assembly centers. Eng Appl Artif Intell 22:1080–1088

    Article  Google Scholar 

  22. Hwang CL, Masud A (1979) Multiple objective decision making—methods and applications: a state-of-the-art survey. Lecture notes in economics and mathematical systems, vol. 164. Springer, Berlin

    Book  Google Scholar 

  23. Mavrotas G (2009) Effective implementation of the e-constraint method in Multi-Objective Mathematical Programming problems. Appl Math Comput 213:455–465

    Article  MATH  MathSciNet  Google Scholar 

  24. Chankong V, Haimes YY (1983) Multiobjective decision making: theory and methodology. North-Holland, New York

    MATH  Google Scholar 

  25. Cohon JL (1978) Multiobjective programming and planning. Academic, New York

    MATH  Google Scholar 

  26. Xidonas P, Mavrotas G, Psarras J (2010) Equity portfolio construction and selection using multiobjective mathematical programming. J Glob Optim 47:185–209

    Article  MATH  MathSciNet  Google Scholar 

  27. Steuer RE (1986) Multiple criteria optimization: theory, computation, and application. Krieger, Malabar

    MATH  Google Scholar 

  28. Miettinen KM (1998) Nonlinear multiobjective optimization. Kluwer Academic, Boston

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amin Alinezhad Esboei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sadjadi, S.J., Heidari, M. & Alinezhad Esboei, A. Augmented ε-constraint method in multiobjective staff scheduling problem: a case study. Int J Adv Manuf Technol 70, 1505–1514 (2014). https://doi.org/10.1007/s00170-013-5352-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-013-5352-8

Keywords

Navigation