2019
DOI: 10.3390/math7030301
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Two-Machine Job-Shop Scheduling with Equal Processing Times on Each Machine

Abstract: In this paper, we consider a two-machine job-shop scheduling problem of minimizing total completion time subject to n jobs with two operations and equal processing times on each machine. This problem occurs e.g., as a single-track railway scheduling problem with three stations and constant travel times between any two adjacent stations. We present a polynomial dynamic programming algorithm of the complexity O ( n 5 ) and a heuristic procedure of the complexity O ( n 3 ) . This settles the co… Show more

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Cited by 8 publications
(8 citation statements)
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“…Similar to the increase operator, the decrease operator first determines the number of individuals to be deleted using Eq. (20). After that, the population is also divided into n dec classes with Algorithm 1, and the worst individuals in each class are then deleted.…”
Section: Optimization Of Search Capabilitymentioning
confidence: 99%
See 2 more Smart Citations
“…Similar to the increase operator, the decrease operator first determines the number of individuals to be deleted using Eq. (20). After that, the population is also divided into n dec classes with Algorithm 1, and the worst individuals in each class are then deleted.…”
Section: Optimization Of Search Capabilitymentioning
confidence: 99%
“…After that, the population is also divided into n dec classes with Algorithm 1, and the worst individuals in each class are then deleted. (20) In this case, the deleted individuals would be evenly distributed in the population, and thus the diversity of the population can be maintained.…”
Section: Optimization Of Search Capabilitymentioning
confidence: 99%
See 1 more Smart Citation
“…In recent years, parallel machine scheduling problems (PMSPs) have attracted significant attention because they are used in different industrial applications and considered to be important key factors for sustainability at the operational level [1][2][3]. This kind of problems aims at assigning a set of jobs to a number of parallel machines with satisfying the requirements of the customers [4].…”
Section: Introductionmentioning
confidence: 99%
“…Production scheduling is of great significance in both scientific study and engineering applications [1][2][3][4][5]. Generally, the aim of the job shop scheduling problem (JSS) is to find a schedule that minimizes certain performance objective, given a set of machines and a set of jobs.…”
Section: Introductionmentioning
confidence: 99%