• Title/Summary/Keyword: Nonidentical Parallel Machines

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A Hueristic Algorithm for Nonidentical Parallel Machines Scheduling (동일하지 않는 병렬기계 일정계획을 위한 휴리스틱 방법)

  • 전태웅;박해천
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.59
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    • pp.37-42
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    • 2000
  • The parallel machines scheduling problems is one of the combinatorial optimization problems that often occurs in the real world. This problem is classified into two cases, one of which is the case which processing time are identical and the other, nonidentical. Not so much researches have been made on the case that nonidentical parallel machines scheduling problem. This study proposes Tabu Search methods for solving parallel machines scheduling problems related to due dates: minimizing mean tardiness, minimizing the number of tardy jobs, minimizing the maximum tardiness.

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Scheduling Jobs with different Due-Date on Nonidentical Parallel Machines (서로 다른 납기를 갖는 작업에 대한 이종 병렬기계에서의 일정계획수립)

  • Kang, Yong-Hyuk;Lee, Hong-Chul;Kim, Sung-Shick
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.1
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    • pp.37-50
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    • 1998
  • This paper considers the nonidentical parallel machine scheduling problem in which n jobs having different due dates are to be scheduled on m nonidentical parallel machines. For the make-to-order manufacturing environment, the objective is to minimize the number of tardy jobs. A 0-1 nonlinear programming model is formulated and a heuristic algorithm that allocates and sequences jobs to machines is developed. The proposed algorithm makes use of the concept of assignment problem based on the suitability measure as the cost coefficient. Computational experiments show that the proposed algorithm is superior to the existing one in some performance measures such as number of tardy jobs. In addition, this algorithm is appropriate for solving real industrial problems efficiently.

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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.

A Tabu Search Methods for Minimizing Mean Tardiness In Parallel Machines Scheduling

  • Chun Tai-Woong;Park Hai-Chun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.60
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    • pp.67-72
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    • 2000
  • In this paper we consider to parallel machines scheduling problems for minimizing mean tardiness that is known NP-complete. This problems is classified into two cases, one of which is the case which processing time are identical and the other, nonidentical. A Tabu Search method is applied to the problems considered in this paper to get an improved solution. To this end, we design move attribute, Tabu attribute and Tabu tenure, and thereafter perform the experiments to the problems.

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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 Load Balancing Problem among Operators in a Nonidentical Parallel Machine Shop Considering Operator Sharing (작업자 공유가 가능한 이기종 병렬기계 작업장에서 작업자 부하균형 문제)

  • 문덕희;김대경
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.41-52
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    • 1999
  • In this paper, a load balancing problem among operators is considered, when one or more machines can be assigned to an operator. The machines are grouped into two types and there are more than one machines in each group. The type of machine in which a job can be processed, is determined. However, an operator can handle both types of machine. The elementary operations of a job are classified into three classes : machine-controlled elements, operator-controlled elements and machine/operator- controlled elements. The objective is to balance the workloads among operators under the constraints of available machine-time and operator-time. A heuristic solution procedure is suggested for allocating jobs to machines and allocating machines to operators. The performance of the algorithm is evaluated with various data set.

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Scheduling Heuristics for a Two-Stage Hybrid Flowshop with Nonidentical Parallel Machines (이종 병렬기계를 가진 2단계 혼합흐름생산시스템의 일정계획)

  • Lee, Ji-Soo;Park, Soon-Hyuk
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.2
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    • pp.254-265
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    • 1999
  • We consider two stage hybrid flowshop scheduling problem when there are two non-identical parallel machines at the first stage, and only one machine at the second stage. Several well-known sequence-first allocate-second heuristics are considered first. We then propose an allocate-first sequence-second heuristic to find minimum makespan schedule. The effectiveness of the proposed heuristic algorithm in finding a minimum makespan schedule is empirically evaluated by comparing with easily computable lower bound. The proposed heuristic algorithm as well as the existing heuristics are evaluated by simulation in four cases which have different processing time distribution, and it is found that the proposed algorithm is more effective in every case.

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