Skip to main content
Log in

Heuristics for the minimum project-duration problem with minimal and maximal time lags under fixed resource constraints

  • Papers
  • Published:
Journal of Intelligent Manufacturing Aims and scope Submit manuscript

The authors consider the problem of minimizing the duration of a project under fixed resource constraints. For the case that there are only minimal time lags between the start of successive activities and that therefore the project can be described by an acyclic network, a large number of exact and heuristic algorithms can be found in the literature. In this paper, the authors permit both minimal and maximal time lags between activities. The project can then be modelled by an activityon-node network containing cycles. Efficient priority-rule heuristics are presented for solving the resource-constrained project-scheduling problem. Computational results are discussed for projects containing up to 1000 activities and several resources.

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.

Institutional subscriptions

Similar content being viewed by others

References

  • Alvarez-Valdés, R. and Tamarit, J. M. (1989) Heurisitic algorithms for resource-constrained project scheduling: a review and an empirical analysis, in Advances in Project Scheduling, Slowinski, R. and Weglarz, J. (eds), Elsevier, Amsterdam, pp. 113–134.

    Google Scholar 

  • Bartusch, M. (1983) Optimierung von Netzplänen mit Anordnungsbeziehungen bei knappen Betriebsmitteln, Ph. D. Thesis, RWTH Aachen, Germany.

    Google Scholar 

  • Bartusch, M., Möhring, R. H. and Radermacher, F. J. (1988) Scheduling project networks with resource constraints and time windows. Annals of Operations Research, 16, 201–240.

    Google Scholar 

  • Christofides, N., Alvarez-Valdés, R. and Tamarit, J. M. (1987) Project scheduling with resource constraints: a branch and bound approach. European Journal of Operational Research, 29, 262–273.

    Google Scholar 

  • Davis, E. W. (1975) Project network summary measures constrained-resource scheduling. AIIE Transactions, 7, 132–142.

    Google Scholar 

  • Davis, E. W. and Patterson, J. H. (1975) A comparison of heuristic and optimum solutions in resource-constrained project scheduling. Management Science, 21, 944–955.

    Google Scholar 

  • Demeulemeester, E. and Herroelen, W. (1992) A branch-and-bound procedure for the multiple resource-constrained project scheduling problem. Management Science, 38, 1803–1818.

    Google Scholar 

  • Elmaghraby, S. E. and Kamburowski, J. (1992) The analysis of activity networks under generalized precedence relations. Management Science, 38, 1245–1263.

    Google Scholar 

  • Elsayed, E. A. (1982) Algorithms for project scheduling with resource constraints. International Journal of Production Research, 20, 95–103.

    Google Scholar 

  • Even, S. (1979) Graph Algorithms, Pitman, London.

    Google Scholar 

  • Gallo, G. and Pallottino, S. (1986) Shortest path methods: a unifying approach. Mathematical Programming Study, 26, 38–64.

    Google Scholar 

  • Lawler, E. L., Lenstra, J. K., Rinnooy Kan, A. H. G. and Shmoys, D. B. (eds) (1985) The Traveling Salesman Problem, John Wiley, New York.

    Google Scholar 

  • Neumann, K. and Morlock, M. (1993) Operations Research, Carl Hanser, München.

    Google Scholar 

  • Patterson, J. H. (1984) A comparison of exact approaches for solving the multiple constrained resource project scheduling problem. Management Science, 30, 854–867.

    Google Scholar 

  • Patterson, J. H., Sowinski, R., Talbot, F. B. and Weglarz, J. (1989) An algorithm for a general class of precedence and resource constrained scheduling problems, in Advances in Project Scheduling, Slowinski, R. and Weglarz, J. (eds), Elsevier, Amsterdam, pp. 3–28.

    Google Scholar 

  • Roy, B. (1964) Les problèmes d'ordonnancement, Dunod, Paris.

    Google Scholar 

  • Stinson, J. P., Davis, E. W. and Khumawala, B. M. (1978) Multiple resource-constrained scheduling using branch and bound. AIIE Transactions, 10, 252–259.

    Google Scholar 

  • Talbot, F. B. and Patterson, J. H. (1978) An efficient integer programming algorithm with network cuts for solving resource-constrained scheduling problems. Management Science, 24, 1163–1174.

    Google Scholar 

  • Zhan, J. (1991), Heuristische Ressourcenplanung in MPM-Netzplänen mit beschränkter Kapazität, Ph. D. Thesis, University of Karlsruhe, Germany.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Neumann, K., Zhan, J. Heuristics for the minimum project-duration problem with minimal and maximal time lags under fixed resource constraints. J Intell Manuf 6, 145–154 (1995). https://doi.org/10.1007/BF00123686

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00123686

Keywords

Navigation