• 한국컴퓨터정보학회논문지
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• 제22권10호
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• pp.101-107
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• 2017

In this paper, we study the problem of parallel machine scheduling considering the moving time of multiple servers. The parallel machine scheduling is to assign jobs to parallel machines so that the total completion time(makespan) is minimized. Each job has a setup phase, a processing phase and a removal phase. A processing phase is performed by a parallel machine alone while a setup phase and a removal phase are performed by both a server and a parallel machine simultaneously. A server is needed to move to a parallel machine for a setup phase and a removal phase. But previous researches have been done under the assumption that the server moving time is zero. In this study we have proposed an efficient algorithm for the problem of parallel machine scheduling considering multiple server moving time. We also have investigated experimentally how the number of servers and the server moving time affect the total completion time.

• 한국컴퓨터정보학회논문지
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• 제19권6호
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• pp.101-108
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• 2014

병렬 머신 스케줄링은 주어진 작업들의 총 완료 시간이 최소가 되도록 작업들을 병렬 머신들에 할당하는 문제로 강철 산업, 반도체 제조, 플라스틱 산업 등 다양한 제조 시스템 분야에서 활용되고 있다. 각 작업들은 준비 과정과 처리 과정을 거치게 되는데, 응용 분야에 따라 제거 과정이 필요한 경우도 있다. 이 중 처리 과정은 병렬 머신만 사용되는데 비해, 준비 과정이나 제거 과정은 서버와 병렬 머신이 동시에 사용된다. 기존의 연구들은 단일 서버를 사용하거나 준비 과정과 처리 과정만을 고려하는 연구가 대부분인데, 단일 서버를 사용하는 경우에는 서버에 병목 현상이 발생하게 되어 총 완료 시간이 늦어지게 되고, 병렬 머신의 수를 증가시키더라도 총 완료 시간은 별로 향상되지 않는 단점을 가지게 된다. 본 연구에서는 다중 서버를 사용하고 준비 과정, 처리 과정, 제거 과정을 모두 고려하는 병렬 머신 스케줄링 알고리즘을 제안하고, 서버의 수와 병렬 머신의 수가 총 완료 시간에 어떤 영향을 미치는지 실험을 통해 분석하였다.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 1996년도 추계학술대회발표논문집; 고려대학교, 서울; 26 Oct. 1996
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• pp.307-309
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• 1996

This paper analyses a deterministic scheduling problem concerned with manufacturing two types of components at a pre-assembly stage which consists of two independent feeding machines each producing its own type of component. Each type represents a unique component which may have variations in its size or quality. Therefore, the completion time of each component depends on both its type and quality (size) variations. Such manufactured components are subsequently assembled into various component dependent products. The problem has the objective measure of minimizing the total weighted completion time of a finite number of jobs(products) where the completion time of each job is measured by the latest completion time of its two components at the pre-assembly stage. The problem is shown to be NP-complete in the strong sense. A WSPT rule coupled with a machine-aggregation idea is developed for good heuristics which show the error bound of 2.

• 융합정보논문지
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• 제11권8호
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• pp.207-211
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• 2021

이 논문은 단계 1에 기계 한 대, 단계 2에 2대의 병렬 기계가 있는 유연 흐름 생산 스케줄링 문제를 다룬다. 목적 함수는 평균 완료 시간을 최소화하는 것이다. 이 문제를 혼합 정수 2차 문제로 정식화하여 혼합 시뮬레이티드 어닐링을 이용하여 풀었다. 혼합 시뮬레이티드 어닐링은 유전자 알고리즘의 탐색 능력을 이용하고 시뮬레이티드 어닐링을 적용하여 너무 이른 수렴 현상을 줄이는 방법이다. 실험을 통하여 혼합 시뮬레이티드 어닐링의 성능을 평가하였다.

• Industrial Engineering and Management Systems
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• 제15권1호
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• pp.32-40
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• 2016

This paper considers a special case of a three machine flow shop scheduling problem in which operation processing time of each job is ordered such that machine 1 has the longest processing time, whereas machine 3, the shortest processing time. The objective of the problem is the minimization of the total completion time. Although the problem is simple, its complexity is yet to be established to our best knowledge. This paper first introduces the problem and presents some optimal properties of the problem. Then, it establishes several special cases in which a polynomial-time optimal solution procedure can be found. In addition, the paper proves that the recognition version of the problem is at least binary NP-complete. The complexity of the problem has been open despite its simple structure and this paper finally establishes its complexity. Finally, a simple and intuitive heuristic is developed and the tight worst case bound on relative error of 6/5 is established.

• Industrial Engineering and Management Systems
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• 제10권4호
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• pp.247-254
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• 2011

In this paper, we study a single-machine scheduling problem with deteriorating processing time of jobs and multiple rate-modifying activities which reset deteriorated processing time to the original processing time. In this situation, the objective function is to minimize total completion time. First, we formulate an integer programming model. Since the model is difficult to solve as the size of real problem being very large, we design an improved genetic algorithm called adaptive genetic algorithm (AGA) with spontaneously adjusting crossover and mutation rate depending upon the status of current population. Finally, we conduct some computational experiments to evaluate the performance of AGA with the conventional GAs with various combinations of crossover and mutation rates.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.283-293
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• 2007

This paper considers single machine scheduling problems with group technology (GT) and deteriorating jobs. A sequence independent setup is required to process a job from a different group and jobs in each group are processed together. We consider the case of jobs whose processing times are a decreasing function of their starting time. The objectives of scheduling problems are to minimize the makespan and the total completion time, respectively. We also provide polynomial time algorithms to solve these problems.

• 산업경영시스템학회지
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• 제26권4호
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• pp.63-71
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• 2003

This paper analyses a deterministic scheduling problem concerned with manufacturing multiple types of components at a pre-assembly stage composed of parallel fabrication machines. Each component part is machined on a fabrication machine specified in advance. The manufactured components are subsequently assembled into products. The completion time of a job(product) is measured by the latest completion time of its all components at the pre-assembly stage. The problem has the objective measure of minimizing the total weighted completion time of a finite number of jobs. Two lower bounds are derived and tested in a branch-and-bound scheme. Also, three constructive heuristic algorithms are developed based on the machine aggregation and greedy strategies. Some empirical evaluation of the performance of the proposed branch-and-bound and heuristic algorithms are also performed.

• 대한산업공학회지
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• 제33권2호
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• pp.254-264
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• 2007

This paper considers a scheduling problem to minimize the total weighted completion time in the two-stage assembly-type flowshop. The system is composed of multiple fabrication machines in the first stage and a final-assembly machine in the second stage. Each job consists of multiple components, each component is machined on the fabrication machine specified in advance. The manufactured components of each job are subsequently assembled into a final product on the final-assembly machine. The objective of this paper is to find the optimal schedule minimizing the total weighted completion time of jobs. Three lower bounds are derived and tested in a branch-and-bound (B&B) Procedure. Also, three heuristic algorithms are developed based on the greedy strategies. Computational results show that the proposed B&B procedure is more efficient than the previous work which has considered the same problem as this paper.

• 대한산업공학회지
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• 제34권3호
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• pp.318-327
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• 2008

This paper considers a single-machine scheduling problem with availability constraints. In many realistic situations, machines may not be always available due to various reasons such as maintenance, breakdown and repair. However, most literature on scheduling assume that the machines are available at all times. This paper deals with a single-machine scheduling problem with periodic maintenance. If the maintenance decision is made jointly with the job scheduling, the system will be more effective. The objective is to minimize the total completion time of jobs. This problem is proved to be NP-hard in the strong sense. The proposed breaking heuristic(BH) algorithm rule is established by some theorems and conditions. Our computational results show that the BH algorithm is much more efficient than existing heuristic.