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Multiple-Project Scheduling with Controllable Project Duration and Hard Resource Constraint: Some Solvable Cases

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  • Chung-Yee Lee
  • Lei Lei

Abstract

In many large-scale project scheduling problems, multiple projects are either taking place at the same time or scheduled into a tight sequence in order to efficiently share a common resource. One example of this is the computing resource allocation at an Application Service Provider (ASP) which provides data processing services for multiple paying customers. Typical services provided by ASPs are data mining, payroll processing, internet-based storage backup services and Customer Relation Management (CRM) services. The processing mode of an ASP can be either batch or concurrent, depending on the type service rendered. For example, for CPU intensive or long processing time required services, it would be more economical to processes one customer request at a time in order to minimize the context switching overhead. While the data transaction processes within a service request are subject to certain precedence relationships, the requests from different customers to an ASP are independent of each other, and the total time required to process a service request depends on the computing resource allocated to that request. The related issue of achieving an optimal use of resources at ASPs leads to problem of project scheduling with controllable project duration. In this paper, we present efficient algorithms for solving several special cases of such multi-project scheduling problems with controllable project duration and hard resource constraints. Two types of problems are considered. In type I, the duration of each project includes a constant and a term that is inversely proportional to the amount of resource allocated. In type II, the duration of each individual project is a continuous decreasing function of the amount of resource allocated. Copyright Kluwer Academic Publishers 2001

Suggested Citation

  • Chung-Yee Lee & Lei Lei, 2001. "Multiple-Project Scheduling with Controllable Project Duration and Hard Resource Constraint: Some Solvable Cases," Annals of Operations Research, Springer, vol. 102(1), pages 287-307, February.
    • Handle: RePEc:spr:annopr:v:102:y:2001:i:1:p:287-307:10.1023/a:1010918518726
    DOI: 10.1023/A:1010918518726
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    Citations

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    Cited by:

    1. Shabtay, Dvir, 2022. "Single-machine scheduling with machine unavailability periods and resource dependent processing times," European Journal of Operational Research, Elsevier, vol. 296(2), pages 423-439.
    2. Yaron Leyvand & Dvir Shabtay & George Steiner & Liron Yedidsion, 2010. "Just-in-time scheduling with controllable processing times on parallel machines," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 347-368, April.
    3. Herroelen, Willy & Leus, Roel, 2004. "The construction of stable project baseline schedules," European Journal of Operational Research, Elsevier, vol. 156(3), pages 550-565, August.
    4. Shabtay, Dvir & Zofi, Moshe, 2018. "Single machine scheduling with controllable processing times and an unavailability period to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 198(C), pages 191-200.
    5. Lei Lei & Michael Pinedo & Lian Qi & Shengbin Wang & Jian Yang, 2015. "Personnel scheduling and supplies provisioning in emergency relief operations," Annals of Operations Research, Springer, vol. 235(1), pages 487-515, December.
    6. Oron, Daniel, 2016. "Scheduling controllable processing time jobs with position-dependent workloads," International Journal of Production Economics, Elsevier, vol. 173(C), pages 153-160.
    7. Gómez Sánchez, Mariam & Lalla-Ruiz, Eduardo & Fernández Gil, Alejandro & Castro, Carlos & Voß, Stefan, 2023. "Resource-constrained multi-project scheduling problem: A survey," European Journal of Operational Research, Elsevier, vol. 309(3), pages 958-976.
    8. C T Daniel Ng & T C E Cheng & M Y Kovalyov, 2003. "Batch scheduling with controllable setup and processing times to minimize total completion time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 499-506, May.
    9. Yedidsion, Liron & Shabtay, Dvir, 2017. "The resource dependent assignment problem with a convex agent cost function," European Journal of Operational Research, Elsevier, vol. 261(2), pages 486-502.
    10. Yim, Seho & Hong, Sung-Pil & Park, Myoung-Ju & Chung, Yerim, 2022. "Inverse interval scheduling via reduction on a single machine," European Journal of Operational Research, Elsevier, vol. 303(2), pages 541-549.
    11. Kailiang Xu & Zuren Feng & Liangjun Ke, 2010. "A branch and bound algorithm for scheduling jobs with controllable processing times on a single machine to meet due dates," Annals of Operations Research, Springer, vol. 181(1), pages 303-324, December.
    12. Choi, Byung-Cheon & Briskorn, Dirk, 2010. "Project scheduling with processing time compression cost and lateness penalties," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 651, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    13. Aidin Delgoshaei & Timon Rabczuk & Ahad Ali & Mohd Khairol Anuar Ariffin, 2017. "An applicable method for modifying over-allocated multi-mode resource constraint schedules in the presence of preemptive resources," Annals of Operations Research, Springer, vol. 259(1), pages 85-117, December.
    14. Yedidsion, Liron & Shabtay, Dvir & Korach, Ephraim & Kaspi, Moshe, 2009. "A bicriteria approach to minimize number of tardy jobs and resource consumption in scheduling a single machine," International Journal of Production Economics, Elsevier, vol. 119(2), pages 298-307, June.

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