Skip to main content

A Genetic Algorithm for Scheduling Alternative Tasks Subject to Technical Failure

  • Conference paper
Optimization, Control, and Applications in the Information Age

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 130))

  • 997 Accesses

Abstract

Nowadays, organizations are often faced with the development of complex and innovative projects. This type of projects often involves performing tasks which are subject to failure. Thus, in many such projects several possible alternative actions are considered and performed simultaneously. Each alternative is characterized by cost, duration, and probability of technical success. The cost of each alternative is paid at the beginning of the alternative and the project payoff is obtained whenever an alternative has been completed successfully. For this problem one wishes to find the optimal schedule, i.e., the starting time of each alternative, such that the expected net present value is maximized. This problem has been recently proposed in Ranjbar (Int Trans Oper Res 20(2):251–266, 2013), where a branch-and-bound approach is reported. Since the problem is NP-Hard, here we propose to solve the problem using genetic algorithms.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Since each alternative consists of a single activity, here and hereafter we will use indifferently alternative and activity.

  2. 2.

    The number of precedence-related activity pairs divided by the theoretically maximum number of such pairs in the network [20].

References

  1. Bean, J.C.: Genetic algorithms and random keys for sequencing and optimization. ORSA J. Comput. 6, 154–160 (1994)

    Google Scholar 

  2. Colvin, M., Maravelias, C.T.: R&d pipeline management: task interdependencies and risk management. Eur. J. Oper. Res. 215(3), 616–628 (2011)

    Google Scholar 

  3. Coolen, K., Wei, W., Nobibon, F.T., Leus, R.: Scheduling modular projects on a bottleneck resource. J. Sched. 17(1), 67–85 (2014)

    Google Scholar 

  4. Creemers, S., Leus, R., De Reyck, B., Lambrecht, M.: Project scheduling for maximum npv with variable activity durations and uncertain activity outcomes. In: IEEE International Conference on Industrial Engineering and Engineering Management, 2008. IEEM 2008, pp. 183–187, 2008

    Google Scholar 

  5. Creemers, S., De Reyck, B., Leus, R.: R&d project planning with multiple trials in uncertain environments. In: IEEE International Conference on Industrial Engineering and Engineering Management, 2009. IEEM 2009, pp. 325–329, 2009

    Google Scholar 

  6. Creemers, S., De Reyck, B., Leus, R.: Project planning with alternative technologies in uncertain environments. FEB Research Report KBI_1314, 2013

    Google Scholar 

  7. De Reyck, B., Leus, R.: R&d project scheduling when activities may fail. IIE Trans. 40(4), 367–384 (2008)

    Google Scholar 

  8. De Reyck, B., Grushka-Cockayne, Y., Leus, R.: A new challenge in project scheduling: the incorporation of activity failures. Tijdschrift voor economie en management 52(3), 411 (2007)

    Google Scholar 

  9. Demeulemeester, E., Vanhoucke, M., Herroelen, W.: Rangen: a random network generator for activity-on-the-node networks. J. Sched. 6(1), 17–38 (2003)

    Google Scholar 

  10. Fontes, D.B.M.M., Gonçalves, J.F.: A multi-population hybrid biased random key genetic algorithm for hop-constrained trees in nonlinear cost flow networks. Optim. Lett. 7(6), 1303–1324 (2013)

    Google Scholar 

  11. Gonçalves, J.F., Resende, M.G.C.: An evolutionary algorithm for manufacturing cell formation. Comput. Ind. Eng. 47, 247–273 (2004)

    Google Scholar 

  12. Gonçalves, J.F., Resende, M.G.C.: Biased random-key genetic algorithms for combinatorial optimization. J. Heuristics 17, 487–525 (2011)

    Google Scholar 

  13. Gonçalves, J.F., Resende, M.G.C.: A parallel multi-population biased random-key genetic algorithm for a container loading problem. Comput. Oper. Res. 39(2), 179–190 (2012)

    Google Scholar 

  14. Gonçalves, J.F., Mendes, J.J.M., Resende, M.G.C.: A genetic algorithm for the resource constrained multi-project scheduling problem. Eur. J. Oper. Res. 189, 1171–1190 (2009)

    Google Scholar 

  15. Gonçalves, J.F., Costa, M.D., Resende, M.G.C.: A biased random-key genetic algorithm for the minimization of open stacks problem. Int. Trans. Oper. Res. (2014, to appear) DOI: 10.1111/itor.12109

    Google Scholar 

  16. Maravelias, C.T., Grossmann, I.E.: Simultaneous planning for new product development and batch manufacturing facilities. Ind. Eng. Chem. Res. 40(26), 6147–6164 (2001)

    Google Scholar 

  17. Mastor, A.A.: An experimental investigation and comparative evaluation of production line balancing techniques. Manag. Sci. 16(11), 728–746 (1970)

    Google Scholar 

  18. Miguel, J.L., Schaefer, E., Reklaitis, G.V.: Challenges and opportunities in enterprise-wide optimization in the pharmaceutical industry. Comput. Chem. Eng. 47, 19–28 (2012)

    Google Scholar 

  19. Ranjbar, M.: A branch-and-bound algorithm for scheduling of new product development projects. Int. Trans. Oper. Res. 20(2), 251–266 (2013)

    Google Scholar 

  20. Ranjbar, M., Davari, M.: An exact method for scheduling of the alternative technologies in r&d projects. Comput. Oper. Res. 40(1), 395–405 (2013)

    Google Scholar 

  21. Roque, L.A.C., Fontes, D.B.M.M., Fontes, F.A.C.C.: A hybrid biased random key genetic algorithm approach for the unit commitment problem. J. Comb. Opt. 28(1), 140–166 (2014)

    Google Scholar 

  22. Schmidt, C.W., Grossmann, I.E.: Optimization models for the scheduling of testing tasks in new product development. Ind. Eng. Chem. Res. 35(10), 3498–3510 (1996)

    Google Scholar 

  23. Schmidt, C.W., Grossmann, I.E., Blau, G.E.: Optimization of industrial scale scheduling problems in new product development. Comput. Chem. Eng. 22, S1027–S1030 (1998)

    Google Scholar 

  24. Sobek, D.K., Ward, A.C., Liker, J.K.: Toyota’s principles of set-based concurrent engineering. Sloan Manag. Rev. 40(2), 67–84 (1999)

    Google Scholar 

  25. Sommer, S.C., Loch, C.H.: Selectionism and learning in projects with complexity and unforeseeable uncertainty. Manag. Sci. 50(10), 1334–1347 (2004)

    Google Scholar 

  26. Spears, W.M., Dejong, K.A.: On the virtues of parameterized uniform crossover. In: Proceedings of the Fourth International Conference on Genetic Algorithms, pp. 230–236, 1991

    Google Scholar 

Download references

Acknowledgements

This work was partially supported by projects PTDC/EGE-GES/117692/ 2010 and NORTE-07-0124-FEDER-000057 funded by the North Portugal Regional Operational Programme (ON.2 – O Novo Norte), under the National Strategic Reference Framework (NSRF), through the European Regional Development Fund (ERDF) and the Programme COMPETE, and by national funds, through the Portuguese funding agency, Fundação para a Ciência e a Tecnologia (FCT).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dalila B. M. M. Fontes .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Fontes, D.B.M.M., Gonçalves, J.F. (2015). A Genetic Algorithm for Scheduling Alternative Tasks Subject to Technical Failure. In: Migdalas, A., Karakitsiou, A. (eds) Optimization, Control, and Applications in the Information Age. Springer Proceedings in Mathematics & Statistics, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-319-18567-5_7

Download citation

Publish with us

Policies and ethics