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The single-machine total tardiness scheduling problem: Review and extensions

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  • Koulamas, Christos

Abstract

We review the latest theoretical developments for the single-machine total tardiness scheduling problem and propose extensions to some of them. We also review (and in some cases extend) exact algorithms, fully polynomial time approximation schemes, heuristic algorithms, special cases and generalizations of the problem. Our findings indicate that the problem continues to attract significant research interest from both a theoretical and a practical perspective. Even though the problem is ordinary NP-hard, the current state-of-the-art algorithms are capable of solving problems with up to 500 jobs.

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  • Koulamas, Christos, 2010. "The single-machine total tardiness scheduling problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 202(1), pages 1-7, April.
    • Handle: RePEc:eee:ejores:v:202:y:2010:i:1:p:1-7
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    3. Herr, Oliver & Goel, Asvin, 2016. "Minimising total tardiness for a single machine scheduling problem with family setups and resource constraints," European Journal of Operational Research, Elsevier, vol. 248(1), pages 123-135.
    4. Koulamas, Christos & Kyparisis, George J., 2023. "A classification of dynamic programming formulations for offline deterministic single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 305(3), pages 999-1017.
    5. Yiyo Kuo & Sheng-I Chen & Yen-Hung Yeh, 2020. "Single machine scheduling with sequence-dependent setup times and delayed precedence constraints," Operational Research, Springer, vol. 20(2), pages 927-942, June.
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    7. Li, Xin & Ventura, Jose A., 2020. "Exact algorithms for a joint order acceptance and scheduling problem," International Journal of Production Economics, Elsevier, vol. 223(C).
    8. Hancerliogullari, Gulsah & Rabadi, Ghaith & Al-Salem, Ameer H. & Kharbeche, Mohamed, 2013. "Greedy algorithms and metaheuristics for a multiple runway combined arrival-departure aircraft sequencing problem," Journal of Air Transport Management, Elsevier, vol. 32(C), pages 39-48.
    9. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    10. Fernando Jaramillo & Busra Keles & Murat Erkoc, 2020. "Modeling single machine preemptive scheduling problems for computational efficiency," Annals of Operations Research, Springer, vol. 285(1), pages 197-222, February.
    11. Novak, Antonin & Sucha, Premysl & Novotny, Matej & Stec, Richard & Hanzalek, Zdenek, 2022. "Scheduling jobs with normally distributed processing times on parallel machines," European Journal of Operational Research, Elsevier, vol. 297(2), pages 422-441.
    12. Mauricio Diéguez & Jaime Bustos & Carlos Cares, 0. "Mapping the variations for implementing information security controls to their operational research solutions," Information Systems and e-Business Management, Springer, vol. 0, pages 1-30.
    13. Elvin Coban & J. Hooker, 2013. "Single-facility scheduling by logic-based Benders decomposition," Annals of Operations Research, Springer, vol. 210(1), pages 245-272, November.
    14. Mauricio Diéguez & Jaime Bustos & Carlos Cares, 2020. "Mapping the variations for implementing information security controls to their operational research solutions," Information Systems and e-Business Management, Springer, vol. 18(2), pages 157-186, June.
    15. Silva, Marco & Poss, Michael & Maculan, Nelson, 2020. "Solution algorithms for minimizing the total tardiness with budgeted processing time uncertainty," European Journal of Operational Research, Elsevier, vol. 283(1), pages 70-82.
    16. Gang Xuan & Win-Chin Lin & Shuenn-Ren Cheng & Wei-Lun Shen & Po-An Pan & Chih-Ling Kuo & Chin-Chia Wu, 2022. "A Robust Single-Machine Scheduling Problem with Two Job Parameter Scenarios," Mathematics, MDPI, vol. 10(13), pages 1-17, June.
    17. Asmaa Khoudi & Ali Berrichi, 2020. "Minimize total tardiness and machine unavailability on single machine scheduling problem: bi-objective branch and bound algorithm," Operational Research, Springer, vol. 20(3), pages 1763-1789, September.
    18. Chang, Zhiqi & Song, Shiji & Zhang, Yuli & Ding, Jian-Ya & Zhang, Rui & Chiong, Raymond, 2017. "Distributionally robust single machine scheduling with risk aversion," European Journal of Operational Research, Elsevier, vol. 256(1), pages 261-274.
    19. Roberto Cordone & Pierre Hosteins & Giovanni Righini, 2018. "A Branch-and-Bound Algorithm for the Prize-Collecting Single-Machine Scheduling Problem with Deadlines and Total Tardiness Minimization," INFORMS Journal on Computing, INFORMS, vol. 30(1), pages 168-180, February.
    20. Steffen Heider & Jakob Heins & John J. Kanet, 2018. "Applying Operations Research to Scheduling Work Cells in a Manufacturing Environment," Interfaces, INFORMS, vol. 48(6), pages 556-565, November.

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