IDEAS home Printed from https://ideas.repec.org/a/spr/orspec/v42y2020i4d10.1007_s00291-020-00595-9.html
   My bibliography  Save this article

The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds

Author

Listed:
  • Patrick Gerhards

    (Helmut Schmidt University)

Abstract

The multi-mode resource investment problem (MRIP) is the multi-mode extension of the resource investment problem, which is also known under the name resource availability cost problem. It is a project scheduling problem with a given due date as well as precedence and resource constraints. The goal is to find a precedence feasible schedule that minimises the resource costs of the allocated resources. To compute these costs, the maximum resource peak is considered regarding renewable resource types, whereas the sum of allocated nonrenewable resource units is used in the case of nonrenewable resources. Many practical and complex project scheduling settings can be modelled with this type of problem. Especially with the usage of different processing modes, time and cost compromises can be utilised by the project manager. In the literature, some procedures for the MRIP have been investigated; however, the computational experiments in these studies have not been carried out on common benchmark instances. This makes a fair comparison of methods difficult. Therefore, we generated novel instances specifically designed for this problem and published them on the website https://riplib.hsu-hh.de . On this website, the instances as well as best-known solution values are available and researchers can also contribute their findings. We investigate these novel instances by proposing and evaluating lower bounds for the MRIP. Additionally, we analyse the proposed instances by applying heuristic as well as exact methods. These experiments suggest that most of the instances are challenging and further research is needed. Finally, we show some computational complexity properties of the NP-hard MRIP.

Suggested Citation

  • Patrick Gerhards, 2020. "The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(4), pages 901-933, December.
    • Handle: RePEc:spr:orspec:v:42:y:2020:i:4:d:10.1007_s00291-020-00595-9
    DOI: 10.1007/s00291-020-00595-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00291-020-00595-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00291-020-00595-9?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    2. Erik Demeulemeester, 1995. "Minimizing Resource Availability Costs in Time-Limited Project Networks," Management Science, INFORMS, vol. 41(10), pages 1590-1598, October.
    3. Shadrokh, Shahram & Kianfar, Fereydoon, 2007. "A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty," European Journal of Operational Research, Elsevier, vol. 181(1), pages 86-101, August.
    4. Bartels, J.-H. & Zimmermann, J., 2009. "Scheduling tests in automotive R&D projects," European Journal of Operational Research, Elsevier, vol. 193(3), pages 805-819, March.
    5. 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.
    6. Geiger, Martin Josef, 2017. "A multi-threaded local search algorithm and computer implementation for the multi-mode, resource-constrained multi-project scheduling problem," European Journal of Operational Research, Elsevier, vol. 256(3), pages 729-741.
    7. Deckro, RF & Hebert, JE, 1989. "Resource constrained project crashing," Omega, Elsevier, vol. 17(1), pages 69-79.
    8. Zhu, Xia & Ruiz, Rubén & Li, Shiyu & Li, Xiaoping, 2017. "An effective heuristic for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 257(3), pages 746-762.
    9. Rodrigues, Sávio B. & Yamashita, Denise S., 2010. "An exact algorithm for minimizing resource availability costs in project scheduling," European Journal of Operational Research, Elsevier, vol. 206(3), pages 562-568, November.
    10. Julia Rieck & Jürgen Zimmermann, 2015. "Exact Methods for Resource Leveling Problems," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 361-387, Springer.
    11. Alexander Schnell & Richard F. Hartl, 2016. "On the efficient modeling and solution of the multi-mode resource-constrained project scheduling problem with generalized precedence relations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 283-303, March.
    12. Van Peteghem, Vincent & Vanhoucke, Mario, 2014. "An experimental investigation of metaheuristics for the multi-mode resource-constrained project scheduling problem on new dataset instances," European Journal of Operational Research, Elsevier, vol. 235(1), pages 62-72.
    13. Denise Sato Yamashita & Reinaldo Morabito, 2009. "A note on time/cost tradeoff curve generation for project scheduling with multi-mode resource availability costs," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 5(4), pages 429-444.
    14. Erdem Colak & Meral Azizoglu, 2014. "A resource investment problem with time/resource trade-offs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(5), pages 777-790, May.
    15. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    16. Coughlan, Eamonn T. & Lübbecke, Marco E. & Schulz, Jens, 2015. "A branch-price-and-cut algorithm for multi-mode resource leveling," European Journal of Operational Research, Elsevier, vol. 245(1), pages 70-80.
    17. Lucio Bianco & Massimiliano Caramia & Stefano Giordani, 2016. "Resource levelling in project scheduling with generalized precedence relationships and variable execution intensities," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 405-425, March.
    18. Yamashita, Denise Sato & Armentano, Vinicius Amaral & Laguna, Manuel, 2006. "Scatter search for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 169(2), pages 623-637, March.
    19. Anthony A. Mastor, 1970. "An Experimental Investigation and Comparative Evaluation of Production Line Balancing Techniques," Management Science, INFORMS, vol. 16(11), pages 728-746, July.
    20. Joanna Józefowska & Marek Mika & Rafał Różycki & Grzegorz Waligóra & Jan Węglarz, 2001. "Simulated Annealing for Multi-Mode Resource-Constrained Project Scheduling," Annals of Operations Research, Springer, vol. 102(1), pages 137-155, February.
    21. Vincent Peteghem & Mario Vanhoucke, 2015. "Heuristic Methods for the Resource Availability Cost Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 339-359, Springer.
    22. López-Ibáñez, Manuel & Dubois-Lacoste, Jérémie & Pérez Cáceres, Leslie & Birattari, Mauro & Stützle, Thomas, 2016. "The irace package: Iterated racing for automatic algorithm configuration," Operations Research Perspectives, Elsevier, vol. 3(C), pages 43-58.
    23. Cédric Verbeeck & Vincent Peteghem & Mario Vanhoucke & Pieter Vansteenwegen & El-Houssaine Aghezzaf, 2017. "A metaheuristic solution approach for the time-constrained project scheduling problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 353-371, March.
    24. C-C Hsu & D S Kim, 2005. "A new heuristic for the multi-mode resource investment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 406-413, April.
    25. Savio B. Rodrigues & Denise S. Yamashita, 2015. "Exact Methods for the Resource Availability Cost Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 319-338, Springer.
    26. A Drexl & A Kimms, 2001. "Optimization guided lower and upper bounds for the resource investment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 340-351, March.
    27. Sprecher, Arno & Drexl, Andreas, 1998. "Multi-mode resource-constrained project scheduling by a simple, general and powerful sequencing algorithm," European Journal of Operational Research, Elsevier, vol. 107(2), pages 431-450, June.
    28. Jan-Hendrik Bartels & Jürgen Zimmermann, 2015. "Scheduling Tests in Automotive R&D Projects Using a Genetic Algorithm," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 1157-1185, Springer.
    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. Portoleau, Tom & Artigues, Christian & Guillaume, Romain, 2024. "Robust decision trees for the multi-mode project scheduling problem with a resource investment objective and uncertain activity duration," European Journal of Operational Research, Elsevier, vol. 312(2), pages 525-540.
    2. Fink, Andreas & Gerhards, Patrick, 2021. "Negotiation mechanisms for the multi-agent multi-mode resource investment problem," European Journal of Operational Research, Elsevier, vol. 295(1), pages 261-274.
    3. Gehring, Marco & Volk, Rebekka & Schultmann, Frank, 2022. "On the integration of diverging material flows into resource‐constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1071-1087.

    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. Hartmann, Sönke & Briskorn, Dirk, 2022. "An updated survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 297(1), pages 1-14.
    2. Felix Hübner & Patrick Gerhards & Christian Stürck & Rebekka Volk, 2021. "Solving the nuclear dismantling project scheduling problem by combining mixed-integer and constraint programming techniques and metaheuristics," Journal of Scheduling, Springer, vol. 24(3), pages 269-290, June.
    3. Cédric Verbeeck & Vincent Peteghem & Mario Vanhoucke & Pieter Vansteenwegen & El-Houssaine Aghezzaf, 2017. "A metaheuristic solution approach for the time-constrained project scheduling problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 353-371, March.
    4. 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.
    5. Nima Zoraghi & Aria Shahsavar & Babak Abbasi & Vincent Peteghem, 2017. "Multi-mode resource-constrained project scheduling problem with material ordering under bonus–penalty policies," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 49-79, April.
    6. 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.
    7. Zhu, Xia & Ruiz, Rubén & Li, Shiyu & Li, Xiaoping, 2017. "An effective heuristic for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 257(3), pages 746-762.
    8. Aria Shahsavar & Nima Zoraghi & Babak Abbasi, 2018. "Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects," Operational Research, Springer, vol. 18(2), pages 315-342, July.
    9. Rodrigues, Sávio B. & Yamashita, Denise S., 2010. "An exact algorithm for minimizing resource availability costs in project scheduling," European Journal of Operational Research, Elsevier, vol. 206(3), pages 562-568, November.
    10. Masoud Arjmand & Amir Abbas Najafi & Majid Ebrahimzadeh, 2020. "Evolutionary algorithms for multi-objective stochastic resource availability cost problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 935-985, September.
    11. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    12. 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.
    13. Milička, P. & Šůcha, P. & Vanhoucke, M. & Maenhout, B., 2022. "The bilevel optimisation of a multi-agent project scheduling and staffing problem," European Journal of Operational Research, Elsevier, vol. 296(1), pages 72-86.
    14. Luis F. Machado-Domínguez & Carlos D. Paternina-Arboleda & Jorge I. Vélez & Agustin Barrios-Sarmiento, 2021. "A memetic algorithm to address the multi-node resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 24(4), pages 413-429, August.
    15. Alfredo S. Ramos & Pablo A. Miranda-Gonzalez & Samuel Nucamendi-Guillén & Elias Olivares-Benitez, 2023. "A Formulation for the Stochastic Multi-Mode Resource-Constrained Project Scheduling Problem Solved with a Multi-Start Iterated Local Search Metaheuristic," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    16. 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.
    17. 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.
    18. 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).
    19. Peteghem, Vincent Van & Vanhoucke, Mario, 2010. "A genetic algorithm for the preemptive and non-preemptive multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 201(2), pages 409-418, March.
    20. Abdollah Arasteh, 2020. "Considering Project Management Activities for Engineering Design Groups," SN Operations Research Forum, Springer, vol. 1(4), pages 1-29, December.

    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:spr:orspec:v:42:y:2020:i:4:d:10.1007_s00291-020-00595-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.