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Scheduling deteriorating jobs on a single serial-batching machine with multiple job types and sequence-dependent setup times

Jun Pei (), Xinbao Liu, Panos M. Pardalos, Wenjuan Fan and Shanlin Yang
Additional contact information
Jun Pei: Hefei University of Technology
Xinbao Liu: Hefei University of Technology
Panos M. Pardalos: University of Florida
Wenjuan Fan: Hefei University of Technology
Shanlin Yang: Hefei University of Technology

Annals of Operations Research, 2017, vol. 249, issue 1, No 11, 175-195

Abstract: Abstract In this paper, we study a scheduling model in which the features of deteriorating jobs, serial batches, multiple job types, and setup times are considered simultaneously. In this proposed model, the jobs of each type are first partitioned into serial batches, and then all batches of different job types are processed on a single serial-batching machine. The actual job processing time is an increasing function of its starting time, and the setup time of the batches is sequence-dependent, i.e., setup time is required only when a new batch is processed first on the machine or immediately after a batch belonging to another job type. We develop optimization algorithms to solve the makespan minimization problem, the maximum tardiness minimization problem, the maximum lateness minimization problem, and the maximum earliness minimization problem, respectively. We also propose optimization algorithms to solve the problem of minimizing the number of tardy jobs under a certain agreeable condition. Finally, we discuss two special cases of the total completion time minimization problem and develop optimization algorithms to solve them.

Keywords: Scheduling; Deteriorating jobs; Serial-batching; Sequence-dependent setup time (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10479-015-1824-6

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