Skip to main content
Log in

A bonus-malus approach to project management

  • Original Paper
  • Published:
Central European Journal of Operations Research Aims and scope Submit manuscript

Abstract

This paper concentrates on the management of delayed projects charged with penalty costs and of expedited projects rewarded with bonuses, based on an activity graph description of the projects. We propose a two-stage heuristic procedure to assist project managers to determine “fair” shares of penalties or compensations for agents involved when information regarding the project’s schedule and its actual execution is available. Incentives for better performance play a key role in this procedure, which combines a “bonus-malus” approach with a rationing approach. In the first stage, activities’ deviations from the schedule are computed using heuristic algorithms which implement incentives for better performance according to two alternative scenarios. In the second stage, the deviations of activities computed according to the chosen scenario are adjusted using well-known rules from the literature on rationing problems. A new family of compensations-penalties solutions, called Mutual Help Solutions, is introduced and illustrated.

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

  • Branzei R, Ferrari G, Fragnelli V, Tijs S (2002) Two approaches to the problem of sharing delay costs in joint projects. Ann Oper Res 109: 359–374

    Article  Google Scholar 

  • Branzei R, Ferrari G, Fragnelli V, Tijs S (2008) A flow approach to bankruptcy problems. AUCO Czech Econ Rev 2: 146–153

    Google Scholar 

  • Castro J, Gómez D, Tejada J (2007) A project game for PERT networks. Oper Res Lett 35: 791–798

    Article  Google Scholar 

  • Castro J, Gómez D, Tejada J (2008a) A polynomial rule for the problem of sharing delay costs in PERT networks. Comput Oper Res 35: 2376–2387

    Article  Google Scholar 

  • Castro J, Gómez D, Tejada J (2008b) The use of proportional rule applied to durations for slack distribution in a PERT network. Eur J Oper Res 187: 556–570

    Article  Google Scholar 

  • Estévez-Fernández A, Borm P, Hamers H (2007) Project games. Int J Game Theory 36: 149–176

    Article  Google Scholar 

  • Gondran M, Minoux M (1984) Graphs and algorithms. Wiley, New York

    Google Scholar 

  • Herrero C, Maschler M, Villar A (1999) Individual rights and collective responsibility: the rights-egalitarian solution. Math Soc Sci 37: 59–77

    Article  Google Scholar 

  • Kaminski MM (2000) ’Hydraulic’ Rationing. Math Soc Sci 40: 131–155

    Article  Google Scholar 

  • Koster M (1999) Cost sharing in production situations and network exploitation. Ph.D. thesis, Tilburg University

  • Malcom DG, Roseboom JH, Clark CE, Fazar W (1959) Application of a technique for research and development program evaluation. Oper Res 7: 646–669

    Article  Google Scholar 

  • Moulin H (1999) Incremental cost sharing: characterization by coalition strategy-proofness. Soc Choice Welf 16: 279–320

    Article  Google Scholar 

  • Moulin H, Shenker S (1992) Serial cost sharing. Econometrica 60: 1009–1037

    Article  Google Scholar 

  • Shragowitz E, Youseff H, Lu B (2003) Iterative converging algorithms for computing bounds on durations of activities in pert and pert-like models. J Comb Opt 7: 5–22

    Article  Google Scholar 

  • Tijs S, Koster M (1998) General aggregation of demand and cost sharing methods. Ann Oper Res 84: 137–164

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vito Fragnelli.

Additional information

The authors gratefully acknowledge two anonymous referees for their useful comments and suggestions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Branzei, R., Ferrari, G., Fragnelli, V. et al. A bonus-malus approach to project management. Cent Eur J Oper Res 19, 495–512 (2011). https://doi.org/10.1007/s10100-010-0139-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10100-010-0139-6

Keywords

Navigation