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Scheduling identical parallel machines to minimize total tardiness

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  • Biskup, Dirk
  • Herrmann, Jan
  • Gupta, Jatinder N.D.

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  • Biskup, Dirk & Herrmann, Jan & Gupta, Jatinder N.D., 2008. "Scheduling identical parallel machines to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 115(1), pages 134-142, September.
    • Handle: RePEc:eee:proeco:v:115:y:2008:i:1:p:134-142
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    1. Yalaoui, Farouk & Chu, Chengbin, 2002. "Parallel machine scheduling to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 76(3), pages 265-279, April.
    2. Hariri, A. M. A. & Potts, C. N., 1989. "A branch and bound algorithm to minimize the number of late jobs in a permutation flow-shop," European Journal of Operational Research, Elsevier, vol. 38(2), pages 227-226, January.
    3. Chen, Zhi-Long & Powell, Warren B., 1999. "A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 220-232, July.
    4. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    5. Eugene L. Lawler, 1964. "On Scheduling Problems with Deferral Costs," Management Science, INFORMS, vol. 11(2), pages 280-288, November.
    6. Azizoglu, Meral & Kirca, Omer, 1998. "Tardiness minimization on parallel machines," International Journal of Production Economics, Elsevier, vol. 55(2), pages 163-168, July.
    7. Zhi-Long Chen & Warren B. Powell, 1999. "Solving Parallel Machine Scheduling Problems by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 78-94, February.
    8. Shim, Sang-Oh & Kim, Yeong-Dae, 2007. "Scheduling on parallel identical machines to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 177(1), pages 135-146, February.
    9. J. M. van den Akker & J. A. Hoogeveen & S. L. van de Velde, 1999. "Parallel Machine Scheduling by Column Generation," Operations Research, INFORMS, vol. 47(6), pages 862-872, December.
    10. Panwalkar, S. S. & Smith, M. L. & Koulamas, C. P., 1993. "A heuristic for the single machine tardiness problem," European Journal of Operational Research, Elsevier, vol. 70(3), pages 304-310, November.
    11. Ali Dogramaci & Julius Surkis, 1979. "Evaluation of a Heuristic for Scheduling Independent Jobs on Parallel Identical Processors," Management Science, INFORMS, vol. 25(12), pages 1208-1216, December.
    12. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    13. Robert L. Karg & Gerald L. Thompson, 1964. "A Heuristic Approach to Solving Travelling Salesman Problems," Management Science, INFORMS, vol. 10(2), pages 225-248, January.
    14. Christos Koulamas, 1994. "The Total Tardiness Problem: Review and Extensions," Operations Research, INFORMS, vol. 42(6), pages 1025-1041, December.
    15. James G. Root, 1965. "Scheduling with Deadlines and Loss Functions on k Parallel Machines," Management Science, INFORMS, vol. 11(3), pages 460-475, January.
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    Cited by:

    1. Scholz, André & Schubert, Daniel & Wäscher, Gerhard, 2017. "Order picking with multiple pickers and due dates – Simultaneous solution of Order Batching, Batch Assignment and Sequencing, and Picker Routing Problems," European Journal of Operational Research, Elsevier, vol. 263(2), pages 461-478.
    2. Julio Mar-Ortiz & Alex J. Ruiz Torres & Belarmino Adenso-Díaz, 2022. "Scheduling in parallel machines with two objectives: analysis of factors that influence the Pareto frontier," Operational Research, Springer, vol. 22(4), pages 4585-4605, September.
    3. Burcu Yılmaz Kaya & Aylin Adem & Metin Dağdeviren, 2020. "A DSS-Based Novel Approach Proposition Employing Decision Techniques for System Design," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 413-445, March.
    4. Ullrich, Christian A., 2013. "Integrated machine scheduling and vehicle routing with time windows," European Journal of Operational Research, Elsevier, vol. 227(1), pages 152-165.
    5. Söhnke Maecker & Liji Shen, 2020. "Solving parallel machine problems with delivery times and tardiness objectives," Annals of Operations Research, Springer, vol. 285(1), pages 315-334, February.
    6. Halil Şen & Kerem Bülbül, 2015. "A Strong Preemptive Relaxation for Weighted Tardiness and Earliness/Tardiness Problems on Unrelated Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 135-150, February.
    7. Mensendiek, Arne & Gupta, Jatinder N.D. & Herrmann, Jan, 2015. "Scheduling identical parallel machines with fixed delivery dates to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 243(2), pages 514-522.
    8. Daniel Schubert & André Scholz & Gerhard Wäscher, 2017. "Integrated Order Picking and Vehicle Routing with Due Dates," FEMM Working Papers 170007, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    9. Donghun Lee & Hyeongwon Kang & Dongjin Lee & Jeonwoo Lee & Kwanho Kim, 2023. "Deep Reinforcement Learning-Based Scheduler on Parallel Dedicated Machine Scheduling Problem towards Minimizing Total Tardiness," Sustainability, MDPI, vol. 15(4), pages 1-14, February.
    10. Daniel Schubert & André Scholz & Gerhard Wäscher, 2018. "Integrated order picking and vehicle routing with due dates," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1109-1139, October.
    11. Wang, Haibo & Alidaee, Bahram, 2019. "Effective heuristic for large-scale unrelated parallel machines scheduling problems," Omega, Elsevier, vol. 83(C), pages 261-274.
    12. Arthur Kramer & Anand Subramanian, 2019. "A unified heuristic and an annotated bibliography for a large class of earliness–tardiness scheduling problems," Journal of Scheduling, Springer, vol. 22(1), pages 21-57, February.
    13. Kerem Bülbül & Halil Şen, 2017. "An exact extended formulation for the unrelated parallel machine total weighted completion time problem," Journal of Scheduling, Springer, vol. 20(4), pages 373-389, August.
    14. Naderi, Bahman & Roshanaei, Vahid, 2020. "Branch-Relax-and-Check: A tractable decomposition method for order acceptance and identical parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 286(3), pages 811-827.
    15. Zhang, Rui & Chiang, Wen-Chyuan & Wu, Cheng, 2014. "Investigating the impact of operational variables on manufacturing cost by simulation optimization," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 634-646.
    16. Fei, Hongying & Meskens, Nadine & Combes, Catherine & Chu, Chengbin, 2009. "The endoscopy scheduling problem: A case study with two specialised operating rooms," International Journal of Production Economics, Elsevier, vol. 120(2), pages 452-462, August.
    17. Creemers, Stefan & Lambrecht, Marc R. & Beliën, Jeroen & Van den Broeke, Maud, 2021. "Evaluation of appointment scheduling rules: A multi-performance measurement approach," Omega, Elsevier, vol. 100(C).

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