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The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times

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  • Dvir Shabtay
  • George Steiner

Abstract

We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomial-time algorithm to find the optimal job sequence, due date values and resource allocation minimizing an objective function which includes earliness, tardiness, due date assignment, makespan and total resource consumption costs. Copyright Springer Science+Business Media, LLC 2008

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  • Dvir Shabtay & George Steiner, 2008. "The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times," Annals of Operations Research, Springer, vol. 159(1), pages 25-40, March.
    • Handle: RePEc:spr:annopr:v:159:y:2008:i:1:p:25-40:10.1007/s10479-007-0269-y
    DOI: 10.1007/s10479-007-0269-y
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    1. Slotnick, Susan A. & Sobel, Matthew J., 2005. "Manufacturing lead-time rules: Customer retention versus tardiness costs," European Journal of Operational Research, Elsevier, vol. 163(3), pages 825-856, June.
    2. 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.
    3. Biskup, Dirk & Jahnke, Hermann, 2001. "Common due date assignment for scheduling on a single machine with jointly reducible processing times," International Journal of Production Economics, Elsevier, vol. 69(3), pages 317-322, February.
    4. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    5. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    6. Cheng, T. C. E. & Oguz, C. & Qi, X. D., 1996. "Due-date assignment and single machine scheduling with compressible processing times," International Journal of Production Economics, Elsevier, vol. 43(1), pages 29-35, May.
    7. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    8. Cheng, T. C. E. & Oguz, C. & Qi, X. D., 1996. "Due-date assignment and single machine scheduling with compressible processing times," International Journal of Production Economics, Elsevier, vol. 43(2-3), pages 107-113, June.
    9. Alidaee, Bahram & Ahmadian, Ahmad, 1993. "Two parallel machine sequencing problems involving controllable job processing times," European Journal of Operational Research, Elsevier, vol. 70(3), pages 335-341, November.
    10. 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.
    11. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    12. 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.
    13. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
    14. Panwalkar, S. S. & Rajagopalan, R., 1992. "Single-machine sequencing with controllable processing times," European Journal of Operational Research, Elsevier, vol. 59(2), pages 298-302, June.
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    Cited by:

    1. Shabtay, Dvir & Steiner, George & Zhang, Rui, 2016. "Optimal coordination of resource allocation, due date assignment and scheduling decisions," Omega, Elsevier, vol. 65(C), pages 41-54.
    2. Chun-Lai Liu & Jian-Jun Wang, 2016. "Unrelated Parallel-Machine Scheduling with Controllable Processing Times and Impact of Deteriorating Maintenance Activities under Consideration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-16, February.
    3. Koulamas, Christos & Gupta, Sushil & Kyparisis, George J., 2010. "A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times," European Journal of Operational Research, Elsevier, vol. 205(2), pages 479-482, September.
    4. Lvjiang Yin & Xinyu Li & Chao Lu & Liang Gao, 2016. "Energy-Efficient Scheduling Problem Using an Effective Hybrid Multi-Objective Evolutionary Algorithm," Sustainability, MDPI, vol. 8(12), pages 1-33, December.
    5. 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.
    6. 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.
    7. Enrique Gerstl & Gur Mosheiov, 2013. "Minmax due-date assignment with a time window for acceptable lead-times," Annals of Operations Research, Springer, vol. 211(1), pages 167-177, December.
    8. Baruch Mor & Gur Mosheiov, 2021. "Minmax due-date assignment on a two-machine flowshop," Annals of Operations Research, Springer, vol. 305(1), pages 191-209, October.
    9. George Steiner & Rui Zhang, 2011. "Minimizing the weighted number of tardy jobs with due date assignment and capacity-constrained deliveries," Annals of Operations Research, Springer, vol. 191(1), pages 171-181, November.
    10. Radosław Rudek, 2012. "Scheduling problems with position dependent job processing times: computational complexity results," Annals of Operations Research, Springer, vol. 196(1), pages 491-516, July.
    11. Koulamas, Christos, 2011. "A unified solution approach for the due date assignment problem with tardy jobs," International Journal of Production Economics, Elsevier, vol. 132(2), pages 292-295, August.

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