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A branch‐and‐bound algorithm to minimize total tardiness with different release dates

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  • Chengbin Chu

Abstract

This article deals with the scheduling problem for minimizing total tardiness with unequal release dates. A set of jobs have to be scheduled on a machine able to perform only one job at a time. No preemptive job is allowed. This problem has been proven to be NP‐hard. We prove some dominance properties, and provide a lower bound polynomially computed for this problem. On the basis of our previous results, we propose a branch‐and‐bound algorithm to solve the problem. This algorithm was tested on hard problems involving 30 jobs and also on relatively easy problems with up to 230 jobs. Detailed computational results are given.

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  • Chengbin Chu, 1992. "A branch‐and‐bound algorithm to minimize total tardiness with different release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 265-283, March.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:2:p:265-283
    DOI: 10.1002/1520-6750(199203)39:23.0.CO;2-L
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    Cited by:

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    2. Chung-Ho Su & Jen-Ya Wang, 2022. "A Branch-and-Bound Algorithm for Minimizing the Total Tardiness of Multiple Developers," Mathematics, MDPI, vol. 10(7), pages 1-24, April.
    3. Christos Koulamas, 1997. "Decomposition and hybrid simulated annealing heuristics for the parallel‐machine total tardiness problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 109-125, February.
    4. Hongfeng Wang & Min Huang & Junwei Wang, 2019. "An effective metaheuristic algorithm for flowshop scheduling with deteriorating jobs," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2733-2742, October.
    5. Christos Koulamas, 1996. "A total tardiness problem with preprocessing included," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 721-735, August.
    6. 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.
    7. K. H. Adjallah & K. P. Adzakpa, 2007. "Minimizing maintenance cost involving flow-time and tardiness penalty with unequal release dates," Journal of Risk and Reliability, , vol. 221(1), pages 57-65, March.
    8. Philippe Baptiste & Ruslan Sadykov, 2009. "On scheduling a single machine to minimize a piecewise linear objective function: A compact MIP formulation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 487-502, September.

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