Single-machine due window assignment and scheduling with a common flow allowance and controllable job processing time

Y Yin, T C E Cheng, Wu C-C and Cheng S-R
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Y Yin: 1] State Key Laboratory Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, China[2] School of Sciences, East China Institute of Technology, Fuzhou, China
T C E Cheng: The Hong Kong Polytechnic University, Kowloon, Hong Kong
Wu C-C: Feng Chia University, Taichung, Taiwan
Cheng S-R: Cheng Shiu University, Kaohsiung County, Taiwan

Journal of the Operational Research Society, 2014, vol. 65, issue 1, 1-13

Abstract: In this paper, we consider single-machine due window assignment and scheduling with a common flow allowance and controllable job processing times, subject to unlimited or limited resource availability. Due window assignment with a common flow allowance means that each job has a job-dependent due window, the starting time and completion time of which are equal to its actual processing time plus the job-independent parameters q1, respectively, which are common to all the jobs. The processing time of each job is either a linear or a convex function of the amount of a common continuously divisible resource allocated to the job. We study five versions of the problem that differ in terms of the objective function and processing time function being used. We provide structural properties of the optimal schedules and polynomial-time solution algorithms for the considered problems.

Date: 2014
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