IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v50y2003i2p130-148.html
   My bibliography  Save this article

A bidirectional heuristic for maximizing the net present value of large‐scale projects subject to limited resources

Author

Listed:
  • Thomas Selle
  • Jürgen Zimmermann

Abstract

We consider the scheduling of large‐scale projects to maximize the project net present value given temporal and resource constraints. The net present value objective emphasizes the financial aspects of project management. Temporal constraints between the start times of activities make it possible to handle practical problem assumptions. Scarce resources are an expression of rising cost. Since optimization techniques are not expedient to solve such problems and most heuristic methods known from literature cannot deal with general temporal constraints, we propose a new bidirectional priority‐rule based method. Scheduling activities with positive cash flows as early and activities with negative cash flows as late as possible results in a method which is completed by unscheduling techniques to cope with scarce resources. In a computational experiment, we compare the well‐known serial generation scheme where all activities are scheduled as early as possible with the proposed bidirectional approach. On the basis of a comprehensive data set known from literature containing instances with up to 1002 activities, the efficiency of the new approach is demonstrated. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003

Suggested Citation

  • Thomas Selle & Jürgen Zimmermann, 2003. "A bidirectional heuristic for maximizing the net present value of large‐scale projects subject to limited resources," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(2), pages 130-148, March.
  • Handle: RePEc:wly:navres:v:50:y:2003:i:2:p:130-148
    DOI: 10.1002/nav.10052
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.10052
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.10052?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    2. Klein, Robert, 2000. "Bidirectional planning: improving priority rule-based heuristics for scheduling resource-constrained projects," European Journal of Operational Research, Elsevier, vol. 127(3), pages 619-638, December.
    3. Brucker, Peter & Knust, Sigrid & Schoo, Arno & Thiele, Olaf, 1998. "A branch and bound algorithm for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 107(2), pages 272-288, June.
    4. Dan Zhu & Rema Padman, 1999. "A metaheuristic scheduling procedure for resource‐constrained projects with cash flows," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(8), pages 912-927, December.
    5. Padman, Rema & Smith-Daniels, Dwight E., 1993. "Early-tardy cost trade-offs in resource constrained projects with cash flows: An optimization-guided heuristic approach," European Journal of Operational Research, Elsevier, vol. 64(2), pages 295-311, January.
    6. A. Kimms, 2001. "Maximizing the Net Present Value of a Project Under Resource Constraints Using a Lagrangian Relaxation Based Heuristic with Tight Upper Bounds," Annals of Operations Research, Springer, vol. 102(1), pages 221-236, February.
    7. Herroelen, Willy S. & Van Dommelen, Patrick & Demeulemeester, Erik L., 1997. "Project network models with discounted cash flows a guided tour through recent developments," European Journal of Operational Research, Elsevier, vol. 100(1), pages 97-121, July.
    8. Yang, Kum Khiong & Tay, Lee Choo & Sum, Chee Chuong, 1995. "A comparison of stochastic scheduling rules for maximizing project net present value," European Journal of Operational Research, Elsevier, vol. 85(2), pages 327-339, September.
    9. Klein, Robert, 2000. "Scheduling of resource constrained projects," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 1592, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    10. Neumann, K. & Zimmermann, J., 2000. "Procedures for resource leveling and net present value problems in project scheduling with general temporal and resource constraints," European Journal of Operational Research, Elsevier, vol. 127(2), pages 425-443, December.
    11. Robert A. Russell, 1986. "A Comparison of Heuristics for Scheduling Projects with Cash Flows and Resource Restrictions," Management Science, INFORMS, vol. 32(10), pages 1291-1300, October.
    12. Rema Padman & Dwight E. Smith‐Daniels & Vicki L. Smith‐Daniels, 1997. "Heuristic scheduling of resource‐constrained projects with cash flows," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 365-381, June.
    13. Li, K. Y. & Willis, R. J., 1992. "An iterative scheduling technique for resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 56(3), pages 370-379, February.
    14. K. Neumann & H. Nübel & C. Schwindt, 2000. "Active and stable project scheduling," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 441-465, December.
    15. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
    16. Kolisch, Rainer & Schwindt, Christoph & Sprecher, Arno, 1999. "Benchmark instances for project scheduling problems," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9500, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    17. F. Brian Talbot & James H. Patterson, 1978. "An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems," Management Science, INFORMS, vol. 24(11), pages 1163-1174, July.
    18. Christoph Schwindt & Jürgen Zimmermann, 2001. "A steepest ascent approach to maximizing the net present value of projects," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 53(3), pages 435-450, July.
    19. Oya Icmeli & S. Selcuk Erenguc, 1996. "A Branch and Bound Procedure for the Resource Constrained Project Scheduling Problem with Discounted Cash Flows," Management Science, INFORMS, vol. 42(10), pages 1395-1408, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. A. S. Puryaev, 2018. "Non-economic Characteristics for the Accounting in Projects’ Appraisal," European Research Studies Journal, European Research Studies Journal, vol. 0(Special 3), pages 177-187.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mika, Marek & Waligora, Grzegorz & Weglarz, Jan, 2005. "Simulated annealing and tabu search for multi-mode resource-constrained project scheduling with positive discounted cash flows and different payment models," European Journal of Operational Research, Elsevier, vol. 164(3), pages 639-668, August.
    2. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    3. M. Vanhoucke, 2006. "A scatter search procedure for maximizing the net present value of a project under renewable resource constraints," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 06/417, Ghent University, Faculty of Economics and Business Administration.
    4. He, Zhengwen & Wang, Nengmin & Jia, Tao & Xu, Yu, 2009. "Simulated annealing and tabu search for multi-mode project payment scheduling," European Journal of Operational Research, Elsevier, vol. 198(3), pages 688-696, November.
    5. Chen, Jiaqiong & Askin, Ronald G., 2009. "Project selection, scheduling and resource allocation with time dependent returns," European Journal of Operational Research, Elsevier, vol. 193(1), pages 23-34, February.
    6. Huan Neng Chiu & Deng Maw Tsai, 2002. "An efficient search procedure for the resource-constrained multi-project scheduling problem with discounted cash flows," Construction Management and Economics, Taylor & Francis Journals, vol. 20(1), pages 55-66.
    7. Kimms, Alf, 1999. "Lagrangean relaxation for scheduling projects under resource constraints to maximize the net present value," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 504, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Neumann, K. & Schwindt, C. & Zimmermann, J., 2003. "Order-based neighborhoods for project scheduling with nonregular objective functions," European Journal of Operational Research, Elsevier, vol. 149(2), pages 325-343, September.
    9. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    10. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
    11. Hartmann, Sönke & Briskorn, Dirk, 2008. "A survey of variants and extensions of the resource-constrained project scheduling problem," Working Paper Series 02/2008, Hamburg School of Business Administration (HSBA).
    12. Nursel Kavlak & Gündüz Ulusoy & Funda Sivrikaya Şerifoğlu & Ş. İlker Birbil, 2009. "Client‐contractor bargaining on net present value in project scheduling with limited resources," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 93-112, March.
    13. Thomas Schmitt & Bruce Faaland, 2004. "Scheduling recurrent construction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1102-1128, December.
    14. Abdollah Arasteh, 2020. "Considering Project Management Activities for Engineering Design Groups," SN Operations Research Forum, Springer, vol. 1(4), pages 1-29, December.
    15. Valls, Vicente & Ballestin, Francisco & Quintanilla, Sacramento, 2005. "Justification and RCPSP: A technique that pays," European Journal of Operational Research, Elsevier, vol. 165(2), pages 375-386, September.
    16. André Schnabel & Carolin Kellenbrink & Stefan Helber, 2018. "Profit-oriented scheduling of resource-constrained projects with flexible capacity constraints," Business Research, Springer;German Academic Association for Business Research, vol. 11(2), pages 329-356, September.
    17. Osman Hürol Türkakın & David Arditi & Ekrem Manisalı, 2021. "Comparison of Heuristic Priority Rules in the Solution of the Resource-Constrained Project Scheduling Problem," Sustainability, MDPI, vol. 13(17), pages 1-17, September.
    18. Dieter Debels & Mario Vanhoucke, 2007. "A Decomposition-Based Genetic Algorithm for the Resource-Constrained Project-Scheduling Problem," Operations Research, INFORMS, vol. 55(3), pages 457-469, June.
    19. Debels, Dieter & De Reyck, Bert & Leus, Roel & Vanhoucke, Mario, 2006. "A hybrid scatter search/electromagnetism meta-heuristic for project scheduling," European Journal of Operational Research, Elsevier, vol. 169(2), pages 638-653, March.
    20. Kreter, Stefan & Schutt, Andreas & Stuckey, Peter J. & Zimmermann, Jürgen, 2018. "Mixed-integer linear programming and constraint programming formulations for solving resource availability cost problems," European Journal of Operational Research, Elsevier, vol. 266(2), pages 472-486.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:50:y:2003:i:2:p:130-148. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.