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An improved approximation algorithm for the single machine total completion time scheduling problem with availability constraints

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  • Sadfi, Cherif
  • Penz, Bernard
  • Rapine, Christophe
  • Blazewicz, Jacek
  • Formanowicz, Piotr

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Suggested Citation

  • Sadfi, Cherif & Penz, Bernard & Rapine, Christophe & Blazewicz, Jacek & Formanowicz, Piotr, 2005. "An improved approximation algorithm for the single machine total completion time scheduling problem with availability constraints," European Journal of Operational Research, Elsevier, vol. 161(1), pages 3-10, February.
    • Handle: RePEc:eee:ejores:v:161:y:2005:i:1:p:3-10
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
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    Cited by:

    1. Kacem, Imed & Chu, Chengbin, 2008. "Efficient branch-and-bound algorithm for minimizing the weighted sum of completion times on a single machine with one availability constraint," International Journal of Production Economics, Elsevier, vol. 112(1), pages 138-150, March.
    2. Kellerer, Hans & Kubzin, Mikhail A. & Strusevich, Vitaly A., 2009. "Two simple constant ratio approximation algorithms for minimizing the total weighted completion time on a single machine with a fixed non-availability interval," European Journal of Operational Research, Elsevier, vol. 199(1), pages 111-116, November.
    3. Tan, Zhiyi & Chen, Yong & Zhang, An, 2011. "Parallel machines scheduling with machine maintenance for minsum criteria," European Journal of Operational Research, Elsevier, vol. 212(2), pages 287-292, July.
    4. Shi-Sheng Li & Ren-Xia Chen, 2022. "Minimizing total weighted late work on a single-machine with non-availability intervals," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1330-1355, September.
    5. Breit, Joachim, 2007. "Improved approximation for non-preemptive single machine flow-time scheduling with an availability constraint," European Journal of Operational Research, Elsevier, vol. 183(2), pages 516-524, December.
    6. 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.
    7. Jing Fan & Xiwen Lu, 2015. "Supply chain scheduling problem in the hospital with periodic working time on a single machine," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 892-905, November.
    8. Mellouli, Racem & Sadfi, Chrif & Chu, Chengbin & Kacem, Imed, 2009. "Identical parallel-machine scheduling under availability constraints to minimize the sum of completion times," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1150-1165, September.
    9. Yunqiang Yin & Jianyou Xu & T. C. E. Cheng & Chin‐Chia Wu & Du‐Juan Wang, 2016. "Approximation schemes for single‐machine scheduling with a fixed maintenance activity to minimize the total amount of late work," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 172-183, March.
    10. Kacem, Imed & Chu, Chengbin, 2008. "Worst-case analysis of the WSPT and MWSPT rules for single machine scheduling with one planned setup period," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1080-1089, June.
    11. 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.
    12. Hanane Krim & Rachid Benmansour & David Duvivier & Daoud Aït-Kadi & Said Hanafi, 2020. "Heuristics for the single machine weighted sum of completion times scheduling problem with periodic maintenance," Computational Optimization and Applications, Springer, vol. 75(1), pages 291-320, January.
    13. Zhenpeng Li & Congdian Cheng, 2023. "The Expected Competitive Ratio on a Kind of Stochastic-Online Flowtime Scheduling with Machine Subject to an Uncertain Breakdown," Mathematics, MDPI, vol. 11(11), pages 1-12, May.
    14. Tan, Zhiyi & Chen, Yong & Zhang, An, 2013. "On the exact bounds of SPT for scheduling on parallel machines with availability constraints," International Journal of Production Economics, Elsevier, vol. 146(1), pages 293-299.
    15. Hans Kellerer & Vitaly A. Strusevich, 2016. "Optimizing the half-product and related quadratic Boolean functions: approximation and scheduling applications," Annals of Operations Research, Springer, vol. 240(1), pages 39-94, May.
    16. Sandeep Kumar & Bhupesh Kumar Lad, 2017. "Integrated production and maintenance planning for parallel machine system considering cost of rejection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 834-846, July.

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