• Title/Summary/Keyword: Machine Scheduling

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Non-Identical Parallel Machine Scheduling with Sequence and Machine Dependent Setup Times Using Meta-Heuristic Algorithms

  • Joo, Cheol-Min;Kim, Byung-Soo
    • Industrial Engineering and Management Systems
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    • v.11 no.1
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    • pp.114-122
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    • 2012
  • This paper considers a non-identical parallel machine scheduling problem with sequence and machine dependent setup times. The objective of this problem is to determine the allocation of jobs and the scheduling of each machine to minimize makespan. A mathematical model for optimal solution is derived. An in-depth analysis of the model shows that it is very complicated and difficult to obtain optimal solutions as the problem size becomes large. Therefore, two meta-heuristics, genetic algorithm (GA) and a new population-based evolutionary meta-heuristic called self-evolution algorithm (SEA), are proposed. The performances of the meta-heuristic algorithms are evaluated through compare with optimal solutions using randomly generated several examples.

Genetic Algorithm with an Effective Dispatching Method for Unrelated Parallel Machine Scheduling with Sequence Dependent and Machine Dependent Setup Times (작업순서와 기계 의존적인 작업준비시간을 고려한 이종병렬기계의 일정계획을 위한 효과적인 작업할당 방법을 이용한 유전알고리즘)

  • Joo, Cheol-Min;Kim, Byung-Soo
    • IE interfaces
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    • v.25 no.3
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    • pp.357-364
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    • 2012
  • This paper considers a unrelated parallel machine scheduling problem with ready times, due times and sequence and machine-dependent setup times. The objective of this problem is to determine the allocation of jobs and the scheduling of machines to minimize the total tardy time. A mathematical model for optimal solution is derived. An in-depth analysis of the model shows that it is very complicated and difficult to obtain optimal solutions as the problem size becomes large. Therefore, a genetic algorithm using an effective dispatching method is proposed. The performance of the proposed genetic algorithm is evaluated using several randomly generated examples.

A Scheduling Support System for Non-identical Parallel Machine Lines (이종병렬기계생산의 일정계획지원 시스템)

  • 정남기;정민영
    • Korean Management Science Review
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    • v.17 no.2
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    • pp.67-73
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    • 2000
  • This paper describes a scheduling support system for a plant where the machine environment may be modeled as non-identical parallel machine lines (NPML). That is, there are a number of stages in series with various different-capability-machines at each stage. Arriving continuously are jobs with their specific due dates, processing times and candidate processing machines. We’ve developed a real-time scheduling module in conjunction with a supporting production information system which supplies necessary data to the module. This scheduling module is one of the 9 modules in this system, and is composed of both a scheduling interface and a production monitoring interface. This module allows users to generate many candidate schedules by selecting their business policies. The selective arguments which are available consist of allocation costs, batch sizes and machine selection intervals. They are now being implemented at a powder metallurgy plant.

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STOCHASTIC SINGLE MACHINE SCHEDULING WITH WEIGHTED QUADRATIC EARLY-TARDY PENALTIES

  • Zhao, Chuan-Li;Tang, Heng-Yong
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.889-900
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    • 2008
  • The problem of scheduling n jobs on a single machine is considered when the machine is subject to stochastic breakdowns. The objective is to minimize the weighted squared deviation of job completion times from a common due date. Two versions of the problem are addressed. In the first one the common due date is a given constant, whereas in the second one the common due date is a decision variable. In each case, a general form of deterministic equivalent of the stochastic scheduling problem is obtained when the counting process N(t) related to the machine uptimes is a Poisson process. It is proved that an optimal schedule must be V-shaped in terms of weighted processing time when the agreeable weight condition is satisfied. Based on the V-shape property, two dynamic programming algorithms are proposed to solve both versions of the problem.

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Heuristic Algorithm for the Single-machine Scheduling with Periodic Maintenance (주기정비를 고려한 단일기계 일정계획을 위한 휴리스틱 알고리즘 설계)

  • Lee, Sang-Heon;Lee, In-Gu
    • Journal of Korean Institute of Industrial Engineers
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    • v.34 no.3
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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.

Context-Aware Ad Contents Scheduling over DOOH Networks based on Factorization Machine

  • Nguyen, Van Hoang;Nguyen, Thanh Binh;Chung, Sun-Tae
    • Journal of Korea Multimedia Society
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    • v.22 no.4
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    • pp.515-526
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    • 2019
  • DOOH(Digital Out Of Home) advertising targets for reaching consumers through outdoor digital display medias. Traditionally, scheduling of advertisement contents over DOOH medias is usually done by operator's strategy, but an efficient ad scheduling strategy is not easy to find under various advertising contexts. In this paper, we present a context-aware factorization machine-based recommendation model for the scheduling under various advertising contexts, and provide analysis for understanding of the contexts' effects on advertising based on the recommendation model. Through simulation results on the dataset adapted from a real dataset of RecSys challenge 2015, it is shown that the proposed model and analysis based on the model will be effective for better scheduling of ad contents under advertising contexts over DOOH networks.

Tabu Search methods to minimize the number of tardy jobs in nonidentical parallel machine scheduling problem (동일하지 않는 병렬기계 시스템에서 지연작업수를 최소화하는 Tabu Search 방법)

  • 전태웅;강맹규
    • Korean Management Science Review
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    • v.12 no.3
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    • pp.177-185
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    • 1995
  • This paper presents a Tabu Search method to minimize a number of tardy jobs in the nonidentical parallel machine scheduling. The Tabu Search method employs a restricted neighborhood for the reduction of computation time. In this paper, we use two different types of method for a single machine scheduling. One is Moore's algorithm and the other is insertion method. We discuss computational experiments on more than 1000 test problems.

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A rounding algorithm for alternate machine scheduling (대안기계 스케쥴링 문제에 대한 라운딩 알고리듬)

  • Hwang, Hark-Chin
    • Korean Management Science Review
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    • v.24 no.2
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    • pp.33-42
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    • 2007
  • In this paper we consider an alternate m machine scheduling problem in which each job having at most two eligible machines should be assigned with the objective of makespan minimization. For this problem. we propose a $O(m2^m)$ time rounding algorithm with performance ratio at most 1.5. For a little general problem where each job can be processed in at most three machines, we prove that a polynomial time algorithm does not exist with performance ratio less than 1.5.

A Heuristic for Efficient Scheduling of Ship Engine Assembly Shop with Space Limit (공간제약을 갖는 선박용 엔진 조립공장의 효율적인 일정계획을 위한 발견적 기법)

  • Lee, Dong-Hyun;Lee, Kyung-Keun;Kim, Jae-Gyun;Park, Chang-Kwon;Jang, Gil-Sang
    • IE interfaces
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    • v.12 no.4
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    • pp.617-624
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    • 1999
  • In order to maximize an availability of machine and utilization of space, the parallel machines scheduling problem with space limit is frequently discussed in the industrial field. In this paper, we consider a scheduling problem for assembly machine in ship engine assembly shop. This paper considers the parallel machine scheduling problem in which n jobs having different release times, due dates and space limits are to be scheduled on m parallel machines. The objective function is to minimize the sum of earliness and tardiness. To solve this problem, a heuristic is developed. The proposed heuristic is divided into three modules hierarchically: job selection, machine selection and job sequencing, solution improvement. To illustrate its effectiveness, a proposed heuristic is evaluated with a large number of randomly generated test problems based on the field situation. Through the computational experiment, we determine the job selection rule that is suitable to the problem situation considered in this paper and show the effectiveness of our heuristic.

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A Two-Machine Flowshop Scheduling with Outsourcing Strategy Allowed (아웃소싱 전략을 활용하는 두 단계 흐름생산라인의 일정계획)

  • Lee, Ik Sun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.3
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    • pp.113-121
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    • 2014
  • This paper considers a scheduling problem in a two-machine flowshop with outsourcing strategy incorporated. The jobs can be either processed in the first machine or outsourced to outside subcontractors. This paper wants to determine which jobs to be processed in-house and which jobs to be outsourced. If any job is decided to be outsourced, then an additional outsourcing cost is charged The objective of this paper is to minimize the sum of scheduling cost and outsourcing cost under a budget constraint. At first this paper characterizes some solution properties, and then it derives solution procedure including DP (Dynamic Programming) and B&B (Branch-and-Bound) algorithms and a greedy-type heuristic. Finally the performance of the algorithms are evaluated with some numerical tests.