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A Horizon-Varying, Zero-One Approach to Project Scheduling

Author

Listed:
  • James H. Patterson

    (The Pennsylvania State University)

  • Walter D. Huber

    (Charmin Paper Products Company, Mehoopany, Pennsylvania)

Abstract

Bounding techniques similar to those used with branch and bound procedures are used in this study in conjunction with zero-one programming to produce minimum duration schedules for the resource constrained, project scheduling problem. The algorithms developed consist of examining the feasibility of a series of zero-one programming problems rather than solving one zero-one problem optimally. Computational results demonstrate the advantage of this method over using zero-one programming without employing any form of bounding. A comparison with other exact procedures for solving the resource constrained, project scheduling problem is also given.

Suggested Citation

  • James H. Patterson & Walter D. Huber, 1974. "A Horizon-Varying, Zero-One Approach to Project Scheduling," Management Science, INFORMS, vol. 20(6), pages 990-998, February.
    • Handle: RePEc:inm:ormnsc:v:20:y:1974:i:6:p:990-998
    DOI: 10.1287/mnsc.20.6.990
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    Citations

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    Cited by:

    1. Kolisch, Rainer, 1994. "Serial and parallel resource-constrained projekt scheduling methodes revisited: Theory and computation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 344, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Simpson, Wendell P. & Patterson, James H., 1996. "A multiple-tree search procedure for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 525-542, March.
    3. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    4. Kolisch, Rainer & Hempel, Kai, 1995. "Experimentelle Evaluation der methodischen Fundierung von Projektmanagementsoftware," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 372, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. Schirmer, Andreas & Riesenberg, Sven, 1997. "Parameterized heuristics for project scheduling: Biased random sampling methods," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 456, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Mehrnoosh Zohrehvandi & Shakib Zohrehvandi & Mohammad Khalilzadeh & Maghsoud Amiri & Fariborz Jolai & Edmundas Kazimieras Zavadskas & Jurgita Antucheviciene, 2024. "A Multi-Objective Mathematical Programming Model for Project-Scheduling Optimization Considering Customer Satisfaction in Construction Projects," Mathematics, MDPI, vol. 12(2), pages 1-16, January.
    7. Kolisch, Rainer & Sprecher, Arno & Drexl, Andreas, 1992. "Characterization and generation of a general class of resource-constrained project scheduling problems: Easy and hard instances," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 301, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Aristide Mingozzi & Vittorio Maniezzo & Salvatore Ricciardelli & Lucio Bianco, 1998. "An Exact Algorithm for the Resource-Constrained Project Scheduling Problem Based on a New Mathematical Formulation," Management Science, INFORMS, vol. 44(5), pages 714-729, May.
    9. Guo, Weikang & Vanhoucke, Mario & Coelho, José, 2023. "A prediction model for ranking branch-and-bound procedures for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 579-595.
    10. Kolisch, Rainer & Drexl, Andreas, 1994. "Hybrid biased random sampling for multiple resourse-constrained project scheduling problems," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 354, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    11. Zhenyuan Liu & Lei Xiao & Jing Tian, 2016. "An activity-list-based nested partitions algorithm for resource-constrained project scheduling," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4744-4758, August.
    12. Demeulemeester, Erik L. & Herroelen, Willy S., 1996. "An efficient optimal solution procedure for the preemptive resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 334-348, April.
    13. Kolisch, Rainer, 1994. "Efficient priority rules for the resource-constrained project scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 350, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    14. Ahn, Taeho & Erenguc, S. Selcuk, 1998. "The resource constrained project scheduling problem with multiple crashable modes: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 107(2), pages 250-259, June.
    15. Kolisch, Rainer, 1996. "Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation," European Journal of Operational Research, Elsevier, vol. 90(2), pages 320-333, April.

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