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Parallel machine scheduling with a convex resource consumption function

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  • Shabtay, Dvir
  • Kaspi, Moshe

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  • Shabtay, Dvir & Kaspi, Moshe, 2006. "Parallel machine scheduling with a convex resource consumption function," European Journal of Operational Research, Elsevier, vol. 173(1), pages 92-107, August.
    • Handle: RePEc:eee:ejores:v:173:y:2006:i:1:p:92-107
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    References listed on IDEAS

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    1. Janiak, Adam, 1991. "Single machine scheduling problem with a common deadline and resource dependent release dates," European Journal of Operational Research, Elsevier, vol. 53(3), pages 317-325, August.
    2. Clyde L. Monma & Alexander Schrijver & Michael J. Todd & Victor K. Wei, 1990. "Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 736-748, November.
    3. Van Wassenhove, Luk N. & Baker, Kenneth R., 1982. "A bicriterion approach to time/cost trade-offs in sequencing," European Journal of Operational Research, Elsevier, vol. 11(1), pages 48-54, September.
    4. Daniels, Richard L., 1990. "A multi-objective approach to resource allocation in single machine scheduling," European Journal of Operational Research, Elsevier, vol. 48(2), pages 226-241, September.
    5. Janiak, Adam & Kovalyov, Mikhail Y., 1996. "Single machine scheduling subject to deadlines and resource dependent processing times," European Journal of Operational Research, Elsevier, vol. 94(2), pages 284-291, October.
    6. Janiak, Adam, 1998. "Minimization of the makespan in a two-machine problem under given resource constraints," European Journal of Operational Research, Elsevier, vol. 107(2), pages 325-337, June.
    7. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    8. T.C.E. Cheng & A. Janiak, 2000. "A permutation flow-shop scheduling problem with convex models of operation processing times," Annals of Operations Research, Springer, vol. 96(1), pages 39-60, November.
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    Cited by:

    1. Kailiang Xu & Zuren Feng & Liangjun Ke, 2011. "Single machine scheduling with total tardiness criterion and convex controllable processing times," Annals of Operations Research, Springer, vol. 186(1), pages 383-391, June.
    2. Edis, Emrah B. & Oguz, Ceyda & Ozkarahan, Irem, 2013. "Parallel machine scheduling with additional resources: Notation, classification, models and solution methods," European Journal of Operational Research, Elsevier, vol. 230(3), pages 449-463.
    3. Liu Guiqing & Li Kai & Cheng Bayi, 2015. "Preemptive Scheduling with Controllable Processing Times on Parallel Machines," Journal of Systems Science and Information, De Gruyter, vol. 3(1), pages 68-76, February.
    4. Alexander Kononov & Yulia Zakharova, 2022. "Speed scaling scheduling of multiprocessor jobs with energy constraint and makespan criterion," Journal of Global Optimization, Springer, vol. 83(3), pages 539-564, July.
    5. Koca, Esra & Yaman, Hande & Selim Aktürk, M., 2015. "Stochastic lot sizing problem with controllable processing times," Omega, Elsevier, vol. 53(C), pages 1-10.
    6. Byung-Cheon Choi & Myoung-Ju Park, 2022. "Single-machine scheduling with resource-dependent processing times and multiple unavailability periods," Journal of Scheduling, Springer, vol. 25(2), pages 191-202, April.
    7. Bahram Alidaee & Haibo Wang & R. Bryan Kethley & Frank Landram, 2019. "A unified view of parallel machine scheduling with interdependent processing rates," Journal of Scheduling, Springer, vol. 22(5), pages 499-515, October.
    8. 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.
    9. Györgyi, Péter & Kis, Tamás, 2017. "Approximation schemes for parallel machine scheduling with non-renewable resources," European Journal of Operational Research, Elsevier, vol. 258(1), pages 113-123.
    10. Oron, Daniel & Shabtay, Dvir & Steiner, George, 2017. "Approximation algorithms for the workload partition problem and applications to scheduling with variable processing times," European Journal of Operational Research, Elsevier, vol. 256(2), pages 384-391.
    11. Hans Kellerer & Vitaly A. Strusevich, 2008. "Scheduling parallel dedicated machines with the speeding‐up resource," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(5), pages 377-389, August.

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