• Title/Summary/Keyword: Parallel Machine

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Parallel Machines Scheduling with Rate-Modifying Activities to Minimize Makespan (Rate-Modifying 활동이 있는 병렬기계의 Makespan 최소화를 위한 일정 계획)

  • Cho, Hang-Min;Yim, Seung-Bin;Jeong, In-Jae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.30 no.2
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    • pp.44-50
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    • 2007
  • This paper deals with the problem of scheduling jobs and rate-modifying activities on parallel machines. A rate-modifying activity is an activity that changes the production rate of equipment such as maintenance and readjustment. If a job is scheduled after the rate-modifying activity, then the processing time varies depending on the modifying rate of the activity. In this study, we extend the single machine problem to parallel machines problem and propose algorithms is to schedule the rate-modifying activities and jobs to minimize the makespan on parallel machines which is NP-hard. We propose a branch and bound algorithm with three lower bounds to solve medium size problems optimally. Also we develop three heuristics, Modified Longest Processing Time, Modified MULTIFIT and Modified COMBINE algorithms to solve large size problems. The test results show that branch and bound algorithm finds the optimal solution in a reasonable time for medium size problems (up to 15 jobs and 5 machines). For large size problem, Modified COMBINE and Modified MULTIFIT algorithms outperform Modified LPT algorithm in terms of solution quality.

Realization of a Parallel Network System for Image Processing Techniques (영상 처리 기법을 위한 병렬화 네트워크 시스템의 구성)

  • 서원찬;조강현;김우열
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.6
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    • pp.492-499
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    • 2000
  • In this paper, realization techniques of the parallel processing and the parallel network system for image processing are described. The parallel image processing system is constructed by the characterization of image processing and processor. Several problems are solved to achieve effective parallel processing and processor networking with the particular properties of image processing, which are reduction of communication quantity, equalization of load and delay depreciation on communication. A parallel image input device is developed for the flexible networking of parallel image processing. An abnormal region detection algorithm which is the basic function in machine vision is applied to evaluate the constructed parallel image processing system. The performance and effectiveness of the system are confirmed by experiments.

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A Restricted Neighborhood Generation Scheme for Parallel Machine Scheduling (병렬 기계 스케줄링을 위한 제한적 이웃해 생성 방안)

  • Shin, Hyun-Joon;Kim, Sung-Shick
    • IE interfaces
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    • v.15 no.4
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    • pp.338-348
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    • 2002
  • In this paper, we present a restricted tabu search(RTS) algorithm that schedules jobs on identical parallel machines in order to minimize the maximum lateness of jobs. Jobs have release times and due dates. Also, sequence-dependent setup times exist between jobs. The RTS algorithm consists of two main parts. The first part is the MATCS(Modified Apparent Tardiness Cost with Setups) rule that provides an efficient initial schedule for the RTS. The second part is a search heuristic that employs a restricted neighborhood generation scheme with the elimination of non-efficient job moves in finding the best neighborhood schedule. The search heuristic reduces the tabu search effort greatly while obtaining the final schedules of good quality. The experimental results show that the proposed algorithm gives better solutions quickly than the existing heuristic algorithms such as the RHP(Rolling Horizon Procedure) heuristic, the basic tabu search, and simulated annealing.

The Singularity Analysis of the Casing Oscillator (케이싱 오실레이터의 특이점 해석)

  • 남윤주;배형섭;박명관
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.1
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    • pp.100-108
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    • 2004
  • In this paper, the new casing oscillator, which is a construction machine and which structure is similar to that of a parallel manipulator with redundancy, is proposed. The singularity analysis of this machine is performed by two different methods. First, the singularities are found by the numerical method at configurations where the rank of the Jacobian matrix becomes deficient. The singularities are outside the workspace. To investigate the physical information on these configurations, the singularities are examined by the geometric method at configurations where the casing oscillator cannot resist the external forces and moments applied to the upper platform due to losing static equilibrium. The results of the geometric method are the same as those of the numerical method. It proves that the new casing oscillator is free from the singularity, which causes serious problems to a parallel manipulator.

A Heuristic Scheduling Algorithm for Transformer Winding Process with Non-identical Parallel Machines (이종병렬기계로 구성된 변압기 권선공정의 생산일정계획)

  • 박창권;장길상;이동현
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.26 no.2
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    • pp.35-41
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    • 2003
  • This paper proposes a heuristic scheduling algorithm to satisfy the customer's due date in the production process under make to order environment. The goal is to achieve the machine scheduling in the transformer winding process, in which consists of parallel machines with different machine performances. The winding is important production process in the transformer manufacturing company. The efficiency of the winding machines is different according to the voltage capacity and the winding type. This paper introduces a heuristic approach in the transformer winding process where the objective function is to minimize the total tardiness of jobs over due dates. The numerical experiment is illustrated to evaluate the performance.

Job Scheduling for Nonidentical Parallel Machines Using Simulated Annealing (시뮬레이티드 어닐링을 이용한 이종병렬기계에서의 일정계획 수립)

  • 김경희;나동길;박문원;김동원
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.90-93
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    • 2000
  • This paper presents job scheduling for non-identical parallel machines using Simulated Annealing (SA). The scheduling problem accounts for allotting work parts of L lots into M parallel machines, where each lot is composed of N homogeneous jobs. Some lots may have different jobs while every job within each lot has common due date. Each machine has its own performance and set up time according to the features of the machine, and also by job types. A meta-heuristic, SA, is applied in this study to determine the job sequences of the scheduling problem so as to minimize total tardiness of due. The SA method is compared with a conventional steepest descent(SD) algorithm that is a typical tool for finding local optimum. The comparison shows the SA is much better than the SD in terms tardiness while SA takes longer , but acceptable time.

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A PARALLEL ALGORITHM FOR CONSTRUCTING THE CONVEX-HULL OF A SIMPLE POLYGON

  • Min, Young-Sik;Lee, Kyeong-Sin
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.279-289
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    • 1999
  • Given n points in the plane the planar convex hull prob-lem in that of finding which of these points belong to the perimeter of the smallest convex region (a polygon) containing all n points. Here we suggest two kinds of methods. First we present a new sequential method for constructing the pla-nar convex hull O(1.5n) time in the quadratic decision tree model. Second using the sequential method we suggest a new parallel algo-rithm which solve the planar convex hull O(1.5n/p) time on a maspar Machine (CREW-PRAM) with O(n) processors. Also when we run on a maspar Machine we achieved a 37. 156-fold speedup with 64 pro-cessor.

Unrelated Parallel Processing Problems with Weighted Jobs and Setup Times in Single Stage (가중치와 준비시간을 포함한 병렬처리의 일정계획에 관한연구)

  • Goo, Jei-Hyun;Jung, Jong-Yun
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.4
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    • pp.125-135
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    • 1993
  • An Unrelated Parallel Processing with Weighted jobs and Setup times scheduling prolem is studied. We consider a parallel processing in which a group of processors(machines) perform a single operation on jobs of a number of different job types. The processing time of each job depends on both the job and the machine, and each job has a weight. In addition each machine requires significant setup time between processing jobs of different job types. The performance measure is to minimize total weighted flow time in order to meet the job importance and to minimize in-process inventory. We present a 0-1 Mixed Integer Programming model as an optimizing algorithm. We also present a simple heuristic algorithm. Computational results for the optimal and the heuristic algorithm are reported and the results show that the simple heuristic is quite effective and efficient.

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Scheduling Algorithm for Nonidentical Parallel Machines Problem with Rework (Rework가 존재하는 이종병렬기계에서의 일정계획 수립)

  • Kang, Yong Ha;Kim, Sung Shick;Park, Jong Hyuck;Shin, Hyun Joon
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.3
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    • pp.329-338
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    • 2007
  • This paper presents a dispatching algorithm for nonidentical parallel machines problem considering rework, sequence dependent setup times and release times. For each pair of a machine and a job type, rework probability of each job on a machine can be known through historical data acquisition. The heuristic scheduling scheme named by EDDR (Earliest Due Date with Rework probability) algorithm is proposed in this paper making use of the rework probability. The proposed dispatching algorithm is measured by two objective function value: 1) total tardiness and 2) the number of reworked jobs, respectively. The extensive computational results show that the proposed algorithm gives very efficient schedules superior to the existing dispatching algorithms.

Scheduling for a Two-Machine, M-Parallel Flow Shop to Minimize Makesan

  • Lee, Dong Hoon;Lee, Byung Gun;Joo, Cheol Min;Lee, Woon Sik
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.56
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    • pp.9-18
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    • 2000
  • This paper considers the problem of two-machine, M-parallel flow shop scheduling to minimize makespan, and proposes a series of heuristic algorithms and a branch and bound algorithm. Two processing times of each job at two machines on each line are identical on any line. Since each flow-shop line consists of two machines, Johnson's sequence is optimal for each flow-shop line. Heuristic algorithms are developed in this paper by combining a "list scheduling" method and a "local search with global evaluation" method. Numerical experiments show that the proposed heuristics can efficiently give optimal or near-optimal schedules with high accuracy. with high accuracy.

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