Advanced Search
Article Contents
Article Contents

The coordination of single-machine scheduling with availability constraints and delivery

Abstract Related Papers Cited by
  • Single-machine scheduling problems with production and delivery are studied in this paper. There is only one delivery vehicle with capacity $z$. Jobs are not allowed to resume. The $P \rightarrow D$ system and $D \rightarrow P$ system are considered, respectively. For the machine with an availability constraint, we present two $4/3$-approximation algorithms and show that the bounds are tight. For the machine with periodic availability constraints, we provide two polynomial time approximation algorithms which are the best possible.
    Mathematics Subject Classification: Primary: 90B35, 90C27.


    \begin{equation} \\ \end{equation}
  • [1]

    Y. C. Chang and C. Y. Lee, Machine scheduling with job delivery coordination, European Journal of Operational Research, 158 (2004), 470-487.doi: 10.1016/S0377-2217(03)00364-3.


    N. G. Hall and C. N. Potts, Supply chain scheduling: Batching and delivery, Operations Research, 51 (2003), 566-584.doi: 10.1287/opre.51.4.566.16106.


    M. Ji, Y. He and T. C. E. Cheng, Single-machine scheduling with periodic maintenance to minimize makespan, Computers & Operations Research, 34 (2007), 1764-1770.doi: 10.1016/j.cor.2005.05.034.


    C. Y. Lee, Machine scheduling with an availability constraint, Journal of Global Optimization, 9 (1996), 395-416.doi: 10.1007/BF00121681.


    C. Y. Lee and Z. L. Chen, Machine scheduling with transportation considerations, Journal of Scheduling, 4 (2001), 3-24.doi: 10.1002/1099-1425(200101/02)4:1<3::AID-JOS57>3.0.CO;2-D.


    C. Y. Lee, L. Lei and M. Pinedo, Current trends in deterministic scheduling, Annals of Operations Research, 70 (1997), 1-41.doi: 10.1023/A:1018909801944.


    C. L. Li and J. W. Ou, Machine scheduling with pickup and delivery, Naval Research Logistics, 52 (2005), 617-630.doi: 10.1002/nav.20101.


    C. L. Li, G. Vairaktarakis and C. Y. Lee, Machine scheduling with deliveries to multiple customer locations, European Journal of Operational Research, 164 (2005), 39-51.doi: 10.1016/j.ejor.2003.11.022.


    G. Schmidt, Scheduling with limited machine availability, European Journal of Operational Research, 121 (2000), 1-15.doi: 10.1016/S0377-2217(98)00367-1.


    L. X. Tang, J. Guan and G. F. Hu, Steelmaking and refining coordinated scheduling problem with waiting time and transportation consideration, Computers & Industrial Engineering, 58 (2010), 239-248.doi: 10.1016/j.cie.2009.07.014.


    D. J. Thomas and P. M. Griffin, Coordinated supply chain management, European Journal of Operational Research, 94 (1996), 1-15.doi: 10.1016/0377-2217(96)00098-7.


    L. Y. Wang and Z. H. Liu, Heuristics for parallel machine scheduling with batch delivery consideration, Journal of Industrial and Management Optimization, 10 (2014), 259-273.doi: 10.3934/jimo.2014.10.259.


    X. L. Wang and T. C. E. Cheng, Machine scheduling with an availability constraint and job delivery coordination, Naval Research Logistics, 54 (2007), 11-20.doi: 10.1002/nav.20175.

  • 加载中

Article Metrics

HTML views() PDF downloads(78) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint