• Title/Summary/Keyword: Machine scheduling

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Uniform Parallel Machine Scheduling (병렬기계에서의 스케쥴링에 관한 연구)

  • Kim, Dae-Cheol
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.2
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    • pp.7-12
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    • 2006
  • This study considers the problem of scheduling jobs on uniform parallel machines with a common due date. The objective is to minimize the total absolute deviation of job completion times about the common due date. This problem is motivated by the fact that a certain phase of printed circuit board manufacturing is bottleneck and the processing speeds of parallel machines in this phase are uniformly different for all jobs. Optimal properties are proved and a simple polynomial time optimal algorithm is developed.

Development of Scheduling Software for Flexible Manufacturing System (FMS운용을 위한 일정계획용 소프트웨어)

  • 윤덕균;황의철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.53-69
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    • 1991
  • This paper is concerned with software developments for scheduling and sequencing of FMS. The scheduling algorithms are developed for 3 types of FMS:single machine type FMS, flowshop type FMS. assembly line type FMS. For the single machine type FMS. full enumeration algorithm is used. For the flowshop type FMS heuristic algorithms are developed. For the assembly type FMS the exsisting PERT/CPM algorithm is applied. Numerical examples are presented for illustration of each algorithm. Each soft ware program list are attached as appendices.

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2-Approximation Algorithm for Parallel Machine Scheduling with Consecutive Eligibility (주어진 구간내의 기계에서만 생산 가능한 병렬기계문제에 대한 2-근사 알고리듬)

  • Hwang, Hark-Chin;Kim, Gyutai
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.3
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    • pp.190-196
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    • 2003
  • We consider the problem of scheduling n jobs on m machines with the objective of minimizing makespan. Each job cannot be eligible to all the machines but to its consecutively eligible set of machines. For this problem, a 2-approximation algorithm, MFFH, is developed. In addition, an example is presented to show the tightness of the algorithm.

A Study on Scheduling Considering Delivery and Production Efficiency in the JIT Systems (적시생산시스템에서 납기와 생산효율성을 고려한 Scheduling)

  • Kim, Jung
    • Journal of Industrial Convergence
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    • v.5 no.2
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    • pp.21-32
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    • 2007
  • This paper deals with the sequencing problem in the operation of the manufacturing systems with the constraint of buffer capacity. Some of studies for this theme have been progressed for several years. And then most of them considered only one objective, such as maximum lateness, machine utilization, makespan, mean flowtime and so on. This study deal with two objectives of the delivery for customers and the idle time of machines for producers. For the decision of sequence, the utility function is used. The developed heuristic algorithm presents a good solution. Through a numerical example, the procedures of the job sequencing is explained.

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Minimizing Total Completion Times in a Two-machine Flowshop Scheduling with Outsourcing Strategy allowed (아웃소싱 전략을 활용하는 두 단계 흐름생산라인에서 완료시간의 총합을 최소화하는 일정계획문제)

  • Yoo, Jaewook;Lee, Ik Sun
    • Korean Management Science Review
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    • v.33 no.2
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    • pp.1-10
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    • 2016
  • We treats a job scheduling in a 2-machine flow-shop problem with outsourcing strategy allowed. Jobs in the first machine are processed in-house or outsourced to the other companies. In this paper, all the considered jobs are determined to be in-house processed or outsourced. When a job is outsourced, then the firm should pay an outsourcing cost additionally. We want to minimize the sum of the outsourcing costs and the total completion times of finished jobs. In this paper, some solution properties are characterized, and then some heuristic algorithms and a branch-and-bound solution algorithm are derived. This paper evaluates finally the performance of the proposed algorithms during the numerical tests.

Applying Tabu Search to Minimize Mean Tardiness in the Parallel Machine Scheduling (동일한 병렬기계 일정계획에서 평균지연시간의 최소화를 위한 Tabu Search 방법)

  • 전태웅;강맹규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.35
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    • pp.107-114
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    • 1995
  • This paper proposes the Tabu Search algorithm to minimize mean tardiness in the parallel machine scheduling problem. The algorithm reduces the computation time by employing restricted neighborhood and produces an efficient solution in this problem.

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Modeling and scheduling for FMS using extended petri nets (확장된 Petri-net을 이용한 FMS의 모델링 및 스케쥴링)

  • 안인석;서기성;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.488-492
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    • 1991
  • This paper deals with modeling and scheduling for flexible manufacturing systems(FMS). In modeling extended Petri nets are used to describe various and complex properties. To resolve multiple conflict without predefined properties, such as part selection, machine selection, rule-based scheduling method is introduced. This structure have a capability of on-line scheduling with systematic modeling description.

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Scheduling Algorithm, Based on Reinforcement Learning for Minimizing Total Tardiness in Unrelated Parallel Machines (이종 병렬설비에서 총납기지연 최소화를 위한 강화학습 기반 일정계획 알고리즘)

  • Tehie Lee;Jae-Gon Kim;Woo-Sik Yoo
    • Journal of the Korea Safety Management & Science
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    • v.25 no.4
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    • pp.131-140
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    • 2023
  • This paper proposes an algorithm for the Unrelated Parallel Machine Scheduling Problem(UPMSP) without setup times, aiming to minimize total tardiness. As an NP-hard problem, the UPMSP is hard to get an optimal solution. Consequently, practical scenarios are solved by relying on operator's experiences or simple heuristic approaches. The proposed algorithm has adapted two methods: a policy network method, based on Transformer to compute the correlation between individual jobs and machines, and another method to train the network with a reinforcement learning algorithm based on the REINFORCE with Baseline algorithm. The proposed algorithm was evaluated on randomly generated problems and the results were compared with those obtained using CPLEX, as well as three scheduling algorithms. This paper confirms that the proposed algorithm outperforms the comparison algorithms, as evidenced by the test results.

Constraint Description language and Automatic Code Generator for Single-Machine Job Sequencing Problems (단일기계 일정계획을 위한 제약조건 표현언어 및 코드 자동생성기)

  • Lee, You-K.;Baek, Seon-D.;Bae, Sung-M.;Jun, Chi-H.;Chang, Soo-Y.;Choi, In-J.
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.2
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    • pp.209-229
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    • 1996
  • Scheduling problems which determine the sequence of jobs are one of the Important issues to many industries. This paper deals with a single-machine job sequencing problem which has complex constraints and an objective function. To solve the problem, an expressive constraint description language and an automatic code generator are developed for our scheduling system. The user just needs to describe the scheduling problem using the constraint description language that allows to express both quantitative and qualitative constraints as well as an objective function in real world semantics. Then, a complete scheduling program based on constraint satisfaction technique is automatically generated through the code generator. Advantage of this approach is that models of the scheduling problems are easily developed and maintained because models ore formulated by using the language which reflects real world semantics.

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Strong NP-completeness of Single Machine Scheduling with Resource Dependent Release Times and Processing Times (Release와 Processing time이 투입자원에 종속적인 단일설비 일정계획문제의 Strong NP-completeness 분석)

  • Lee, Ik Sun
    • Korean Management Science Review
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    • v.31 no.2
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    • pp.65-70
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    • 2014
  • This paper considers a single machine scheduling problem to determine release and processing times where both the release times and processing times are linearly decreasing functions of resources. The objective is to minimize the sum of the associated resource consumption cost and scheduling cost including makespan, sum of completion times, maximum lateness, or sum of lateness. This paper proves that the scheduling problem is NP-hard in the strong sense even if the release times are constant.