2022
DOI: 10.3390/math10162983
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Scheduling with Resource Allocation, Deteriorating Effect and Group Technology to Minimize Total Completion Time

Abstract: This paper studies a single-machine problem with resource allocation (RA) and deteriorating effect (DE). Under group technology (GT) and limited resource availability, our goal is to determine the schedules of groups and jobs within each group such that the total completion time is minimized. For three special cases, polynomial time algorithms are given. For a general case, a heuristic, a tabu search algorithm, and an exact (i.e., branch-and-bound) algorithm are proposed to solve this problem.

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Cited by 8 publications
(2 citation statements)
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“…The initial group sequence of the TS algorithm is decided in the non-decreasing order of s i , and the maximum number of iterations for the TS algorithm is set at 200Q (as in Yan et al [24], in general, the maximum number of iterations is 2000; here, it is set to 200Q).…”
Section: Phasementioning
confidence: 99%
“…The initial group sequence of the TS algorithm is decided in the non-decreasing order of s i , and the maximum number of iterations for the TS algorithm is set at 200Q (as in Yan et al [24], in general, the maximum number of iterations is 2000; here, it is set to 200Q).…”
Section: Phasementioning
confidence: 99%
“…Liang et al [23] dealt with a single-machine resource allocation scheduling problem with deteriorating jobs and GT. Yan et al [24] studied a single-machine problem with resource allocation and deteriorating effect in group technology environment. Liu and Wang [25] and Wang and Liu [26] considered single-machine GT scheduling with resource allocation and due date assignment.…”
Section: Introductionmentioning
confidence: 99%