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Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case

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Author Info

  • F. Brian Talbot

    (University of Michigan)

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    Abstract

    This paper introduces methods for formulating and solving a general class of nonpreemptive resource-constrained project scheduling problems in which the duration of each job is a function of the resources committed to it. The approach is broad enough to permit the evaluation of numerous time or resource-based objective functions, while simultaneously taking into account a variety of constraint types. Typical of the objective functions permitted are minimize project duration, minimize project cost given performance payments and penalties, and minimize the consumption of a critical resource. Resources which may be considered include those which are limited on a period-to-period basis such as skilled labor, as well as those such as money, which are consumed and constrained over the life of the project. At the planning stage the user of this approach is permitted to identify several alternative ways, or modes, of accomplishing each job in the project. Each mode may have a different duration, reflecting the magnitude and mix of the resources allocated to it. At the scheduling phase, the procedure derives a solution which specifies how each job should be performed, that is, which mode should be selected, and when each mode should be scheduled. In order to make the presentation concrete, this paper focuses on two problems: given multiple resource restrictions, minimize project completion time, and minimize project cost. The latter problem is also known as the resource-constrained time-cost tradeoff problem. Computational results indicate that the procedures provide cost-effective optimal solutions for small problems and good heuristic solutions for larger problems. The programmed solution algorithms are relatively simple and require only modest computing facilities, which permits them to be potentially useful scheduling tools for organizations having small computer systems.

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    File URL: http://dx.doi.org/10.1287/mnsc.28.10.1197
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 28 (1982)
    Issue (Month): 10 (October)
    Pages: 1197-1210

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    Handle: RePEc:inm:ormnsc:v:28:y:1982:i:10:p:1197-1210

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    Related research

    Keywords: project management: resource constraints; programming: integer algorithms; enumerative; industries: construction;

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    Citations

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    Cited by:
    1. Mori, Masao & Tseng, Ching Chih, 1997. "A genetic algorithm for multi-mode resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 134-141, July.
    2. Vo[ss], Stefan & Witt, Andreas, 2007. "Hybrid flow shop scheduling as a multi-mode multi-project scheduling problem with batching requirements: A real-world application," International Journal of Production Economics, Elsevier, vol. 105(2), pages 445-458, February.
    3. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    4. Samaddar, Subhashish & Rabinowitz, Gad & Zhang, Guoqiang Peter, 2005. "An experimental analysis of solution performance in a resource sharing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(1), pages 139-156, August.
    5. De Reyck, Bert & Herroelen, Willy, 1996. "On the use of the complexity index as a measure of complexity in activity networks," European Journal of Operational Research, Elsevier, vol. 91(2), pages 347-366, June.
    6. Martinez, Michael A. & Newman, Alexandra M., 2011. "A solution approach for optimizing long- and short-term production scheduling at LKAB's Kiruna mine," European Journal of Operational Research, Elsevier, vol. 211(1), pages 184-197, May.
    7. Tiwari, Vikram & Patterson, James H. & Mabert, Vincent A., 2009. "Scheduling projects with heterogeneous resources to meet time and quality objectives," European Journal of Operational Research, Elsevier, vol. 193(3), pages 780-790, March.
    8. Ulusoy, Gunduz & Ozdamar, Linet, 1996. "A framework for an interactive project scheduling system under limited resources," European Journal of Operational Research, Elsevier, vol. 90(2), pages 362-375, April.
    9. Kolisch, Rainer & Sprecher, Arno, 1997. "PSPLIB - A project scheduling problem library : OR Software - ORSEP Operations Research Software Exchange Program," European Journal of Operational Research, Elsevier, vol. 96(1), pages 205-216, January.
    10. Karen Puttkammer & Rainer Kleber & Tobias Schulz & Karl Inderfurth, 2011. "Simultane Maschinenbelegungs- und Personaleinsatzplanung in KMUs anhand eines Fallbeispiels aus der Druckereibranche," FEMM Working Papers 110010, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    11. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    12. Boctor, Fayez F., 1996. "A new and efficient heuristic for scheduling projects with resource restrictions and multiple execution modes," European Journal of Operational Research, Elsevier, vol. 90(2), pages 349-361, April.
    13. Browning, Tyson R. & Yassine, Ali A., 2010. "Resource-constrained multi-project scheduling: Priority rule performance revisited," International Journal of Production Economics, Elsevier, vol. 126(2), pages 212-228, August.
    14. Chen, Shih-Pin & Tsai, Ming-Jiun, 2011. "Time-cost trade-off analysis of project networks in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 212(2), pages 386-397, July.
    15. V. Van Peteghem & M. Vanhoucke, 2008. "A Genetic Algorithm for the Multi-Mode Resource-Constrained Project Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/494, Ghent University, Faculty of Economics and Business Administration.
    16. V. Van Peteghem & M. Vanhoucke, 2009. "An Artificial Immune System for the Multi-Mode Resource-Constrained Project Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 09/555, Ghent University, Faculty of Economics and Business Administration.
    17. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1997. "Project scheduling under resource and mode identity constraints: Model, complexity, methods, and application," European Journal of Operational Research, Elsevier, vol. 102(1), pages 88-110, October.
    18. Bianco, L. & Dell'Olmo, P. & Grazia Speranza, M., 1998. "Heuristics for multimode scheduling problems with dedicated resources," European Journal of Operational Research, Elsevier, vol. 107(2), pages 260-271, June.
    19. Lova, Antonio & Tormos, Pilar & Cervantes, Mariamar & Barber, Federico, 2009. "An efficient hybrid genetic algorithm for scheduling projects with resource constraints and multiple execution modes," International Journal of Production Economics, Elsevier, vol. 117(2), pages 302-316, February.
    20. 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.

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