• Title/Summary/Keyword: Machine Scheduling

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Development of heuristic method for job shop scheduling with alternative machines (대안기계를 갖는 Jop Shop scheduling을 위한 발견적기법의 개발)

  • 최동순;정병희
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.10a
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    • pp.303-306
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    • 1996
  • This paper proposes a heuristic method for job shop scheduling with alternative machines. Our heuristic suggests four machine-selecting rules and two priority dispatching rules for modifying existent ones considering alternative machines, and then it extends existing nondelay/active job shop schedule generation. This heuristic provides good criteria(rules) in the selection of a proper machine among those performing a specific operation and for the dispatch of an operation to a selected machine and thus these rules permit the efficient job shop scheduling with alternative machines. The performances of our four machine-selecting rules in addition to the two priority dispatching rules, applied together with the existing 17 rules, are experimented and evaluated, respectively.

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A Heuristic Method for Job Shop Scheduling Considering Alternative Machines (대안기계를 고려한 Job Shop Scheduling의 발견적 기법)

  • 최동순;정병희
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.127-137
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    • 1997
  • This paper proposes a heuristic method for job shop scheduling with alternative machines. Our heuristic suggests two machine-selecting rules and two priority dispatching rules for modifying existent ones considering alternative machines, and then it extends existing nondelay/active job shop schedule generation. This heuristic provides good criteria(rules) in the selection of a proper machine among those performing a specific operation and for the dispatch of an operation to a selected machine and thus these rules permit the efficient job shop scheduling with alternative machines. The performances of our two machine-selecting rules in addition to the two priority dispatching rules, applied together with the existing 17 rules, are experimented and evaluated, respectively.

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Single Machine Scheduling Problem with Step-deterioration under A Rate-modifying Activity (단일 복구조정활동 하에 단계적 퇴화를 가지는 단일기계 생산일정계획)

  • Kim, Byung Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.3
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    • pp.43-50
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    • 2014
  • In this paper, we deal with a single machine scheduling problems integrating with step deterioration effect and a rate-modifying activity (RMA). The scheduling problem assumes that the machine may have a single RMA and each job has the processing time of a job with deterioration is a step function of the gap between recent RMA and starting time of the job and a deteriorating date that is individual to all jobs. Based on the two scheduling phenomena, we simultaneously determine the schedule of step deteriorating jobs and the position of the RMA to minimize the makespan. To solve the problem, we propose a hybrid typed genetic algorithm compared with conventional GAs.

Special Cases on Two Machine Flow Shop Scheduling with Weighted WIP Costs

  • Yang, Jae-Hwan
    • Management Science and Financial Engineering
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    • v.15 no.2
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    • pp.69-100
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    • 2009
  • In this paper, we consider a relatively new two-machine flow shop scheduling problem where the unit time WIP cost increases as a job passes through various stages in the production process, and the objective is to minimize the total WIP (work-in-process) cost. Specifically, we study three special cases of the problem. First, we consider the problem where processing times on machine 1 are identical. Second, the problem with identical processing times on machine 2 is examined. The recognition version of the both problems is unary NP-complete (or NP-complete in strong sense). For each problem, we suggest two simple and intuitive heuristics and find the worst case bound on relative error. Third, we consider the problem where the processing time of a job on each machine is proportional to a base processing time. For this problem, we show that a known heuristic finds an optimal schedule.

Fuzzy Logic-driven Virtual Machine Resource Evaluation Method for Cloud Provisioning Service (클라우드 프로비저닝 서비스를 위한 퍼지 로직 기반의 자원 평가 방법)

  • Kim, Jae-Kwon;Lee, Jong-Sik
    • Journal of the Korea Society for Simulation
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    • v.22 no.1
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    • pp.77-86
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    • 2013
  • Cloud computing is one of the distributed computing environments and utilizes several computing resources. Cloud environment uses a virtual machine to process a requested job. To balance a workload and process a job rapidly, cloud environment uses a provisioning technique and assigns a task with a status of virtual machine. However, a scheduling method for cloud computing requires a definition of virtual machine availabilities, which have an obscure meaning. In this paper, we propose Fuzzy logic driven Virtual machine Provisioning scheduling using Resource Evaluation(FVPRE). FVPRE analyzes a state of every virtual machine and actualizes a value of resource availability. Thus FVPRE provides an efficient provisioning scheduling with a precise evaluation of resource availability. FVPRE shows a high throughput and utilization for job processing on cloud environments.

An Excel-Based Scheduling System for a Small and Medium Sized Manufacturing Factory (중소 제조기업을 위한 엑셀기반 스케쥴링 시스템)

  • Lee, Chang-Su;Choe, Kyung-Il;Song, Young-Hyo
    • Journal of Korean Society for Quality Management
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    • v.36 no.2
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    • pp.28-35
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    • 2008
  • This study deals with an Excel-based scheduling system for a small and medium sized manufacturing factory without sufficient capability for managing full-scale information systems. The factory has the bottleneck with identical machines and unique batching characteristics. The scheduling problem is formulated as a variation of the parallel-machine scheduling system. It can be solved by a two-phase method: the first phase with an ant colony optimization (ACO) heuristic for order grouping and the second phase with a mixed integer programming (MIP) algorithm for scheduling groups on machines.

Customer Order Scheduling Problems with a Fixed Machine-Job Assignment

  • Yang, Jae-Hwan;Rho, Yoo-Mi
    • Management Science and Financial Engineering
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    • v.11 no.2
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    • pp.19-43
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    • 2005
  • This paper considers a variation of the customer order scheduling problem, and the variation is the case where the machine-job assignment is fixed. We examine the parallel machine environment, and the objective is to minimize the sum of the completion times of the batches. While a machine can process only one job at a time, different machines can simultaneously process different jobs in a batch. The recognition version of this problem is known to be NP-complete in the strong sense even if there exist only two parallel machines. When there are an arbitrary number of parallel machines, we establish three lower bounds and develop a dynamic programming (DP) algorithm which runs in exponential time on the number of batches. We present two simple but intuitive heuristics, SB and GR, and find some special cases where SB and GR generate an optimal schedule. We also find worst case upper bounds on the relative error. For the case of the two parallel machines, we show that GR generates an optimal schedule when processing times of all batches are equal. Finally, the heuristics and the lower bounds are empirically evaluated.

The variation of one machine scheduling problem

  • Han, Sangsu;Ishii, Hiroaki;Fujii, Susumu;Lee, Young-Hae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.04a
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    • pp.6-15
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    • 1993
  • A generalization of one machine maximum lateness minimization problem is considered. There are one achine with controllable speed and n weighting jobs $J_{j}$, j=1, 2, ..., n with ambiguous duedates. Introducing fuzzy formulation, a membership function of the duedate associated with each job $J_{j}$, which describes the satisfaction level with respect to completion time of $J_{j}$. Thus the duedates are not constants as in conventional scheduling problems but decision variables reflecting the fuzzy circumstance of the job completing. We develop the polynomial time algorithm to find an optimal schedule and jobwise machine speeds, and to minimize the total sum of costs associated with jobwise machine speeds and dissatisfaction with respect to completion times of weighting jobs. jobs.

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Customer Order Scheduling Problems with Fixed Machine-Job Assignment

  • Yang, Jae-Hwan
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.615-619
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    • 2004
  • This paper considers a variation of customer order scheduling problems. The variation is the case where machine-job assignment is fixed, and the objective is to minimize the sum of the completion times of the batches. In customer order scheduling problems, jobs are dispatched in batches. While a machine can process only one job at a time, multiple machines can simultaneously process jobs in a batch. We first establish a couple of lower bounds. Then, we develop a dynamic programming (DP) algorithm that runs in exponential time on the number of batches when there exist two machines. For the same problem with arbitrary number of machines, we present two simple heuristics, which use simple scheduling rules such as shortest batch first and shortest makespan batch first rules. Finally, we empirically evaluate the heuristics.

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An approximation method for job shop scheduling problem with sequence independent setup time (준비시간을 고려한 job shop 스케쥴링 문제의 근사적 해법에 관한 연구)

  • 정한일;김기동;정대영;박진우
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.04a
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    • pp.306-309
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    • 1996
  • The job shop scheduling problem has been a major target for many researchers. And, most of the past studies did not consider setup time. In many cases of real manufacturing environment, however, there exists a setup time for each operations. The setup can be divide into two parts, one can be done after job arrival. The setup time based on the latter can be summed together with processing time, but that based on the former can not be. We propose an approximation method based on shifting bottleneck procedure for solving the job shop scheduling problem with sequence independent setup time. It schedules the machines one by one, taking a bottleneck machine among the machines not yet scheduled. Every time after a new machine is scheduled, all schedules previously established are updated. Both the bottlenck search and the schedule updating procedure are based on solving a single machine scheduling problem with ready time, setup time and delivery time iteratively.

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