Optimization Letters

, Volume 9, Issue 1, pp 91–104 | Cite as

Single machine serial-batching scheduling with independent setup time and deteriorating job processing times

  • Jun PeiEmail author
  • Xinbao Liu
  • Panos M. Pardalos
  • Wenjuan Fan
  • Shanlin Yang
Original Paper


This paper investigates the scheduling problems of a single serial-batching machine with independent setup time and deteriorating job processing times. With the assumption of deteriorating jobs, the job processing times are described by an increasing function of their starting times. All the jobs are first partitioned into serial batches and then processed on a single serial-batching machine. Before each batch is processed, an independent constant setup time is required. Two optimization algorithms are proposed to solve the problems of minimizing the makespan and the total number of tardy jobs, respectively. Specifically, for the problem of minimizing the total completion time, two special cases with the smallest and the largest number of batches are studied, and an optimization algorithm is also presented for the special case without setup time.


Serial-batching scheduling Deteriorating jobs Single machine Setup time 



We would like to thank the editors and referees for their valuable comments and suggestions. This work is supported by the National Natural Science Foundation of China (Nos. 71231004, 71171071, 71131002), and LATNA laboratory, NRU HSE, RF government grant, ag. 11.G34.31.0057.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Jun Pei
    • 1
    • 2
    Email author
  • Xinbao Liu
    • 1
    • 3
  • Panos M. Pardalos
    • 2
    • 4
  • Wenjuan Fan
    • 1
    • 5
  • Shanlin Yang
    • 1
    • 3
  1. 1.School of ManagementHefei University of TechnologyHefeiChina
  2. 2.Department of Industrial and Systems Engineering, Center for Applied OptimizationUniversity of FloridaGainesvilleUSA
  3. 3.Key Laboratory of Process Optimization and Intelligent Decision-Making of Ministry of EducationHefeiChina
  4. 4.Laboratory of Algorithms and Technologies for Networks AnalysisNational Research University Higher School of EconomicsMoscowRussia
  5. 5.Department of Computer ScienceNorth Carolina State UniversityRaleighUSA

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