• Title/Summary/Keyword: Job scheduling

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A Scheduling Problem to Minimize Total Tardiness in the Two-stage Assembly-type Flowshop (총 납기지연시간 최소화를 위한 두 단계 조립시스템에서의 일정계획에 관한 연구)

  • Ha, Gui-Ryong;Lee, Ik-Sun;Yoon, Sang-Hum
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.3
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    • pp.1-16
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    • 2008
  • This paper considers a scheduling problem to minimize the total tardiness in the two-stage assembly-type flowshop. The system is composed of multiple fabrication machines in the first stage and a final-assembly machine in the second stage. Each job consists of multiple tasks, each task is performed on the fabrication machine specified in advance. After all the tasks of a job are finished, the assembly task can be started on the final-assembly machine. The completion time of a job is the time that the assembly task for the job is completed. The objective of this paper is to find the optimal schedule minimizing the total tardiness of a group of jobs. In the problem analysis, we first derive three solution properties to determine the sequence between two consecutive jobs. Moreover, two lower objective bounds are derived and tested along with the derived properties within a branch-and-bound scheme. Two efficient heuristic algorithms are also developed. The overall performances of the proposed properties, branch-and-bound and heuristic algorithms are evaluated through numerical experiments.

Petri Net Modeling and Analysis for Periodic Job Shops with Blocking

  • Lee, Tae-Eog;Song, Ju-Seog
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.04a
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    • pp.314-314
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    • 1996
  • We investigate the scheduling problem for periodic job shops with blocking. We develop Petri net models for periodic job shops with finite buffers. A buffer control method would allow the jobs to enter the input buffer of the next machine in the order for which they are completed. We discuss difficulties in using such a random order buffer control method and random access buffers. We thus propose an alternative buffer control policy that restricts the jobs to enter the input buffer of the next machine in a predetermined order. The buffer control method simplifies job flows and control systems. Further, it requires only a cost-effective simple sequential buffer. We show that the periodic scheduling model with finite buffers using the buffer control policy can be transformed into an equivalent periodic scheduling model with no buffer, which is modeled as a timed marked graph. We characterize the structural properties for deadlock detection. Finally, we develop a mixed integer programming model for the no buffer problem that finds a deadlock-free optimal sequence that minimizes the cycle time.

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Parallel Machine Scheduling with an Aid of Network Flow Model (네트워크 흐름 모형을 이용한 병행기계(併行機械) 시스템의 스케쥴링)

  • Chung, Nam-Kee;Park, Hyung-Kyu;Yang, Won-Sub
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.11-22
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    • 1989
  • The problem of scheduling n-jobs on m-uniform parallel machines is considered, in which each job has a release time, a deadline, and a processing requirement. The job processing requirements are allocated to the machines so that the maximum of the load differences between time periods is minimized. Based on Federgruen's maximum flow network model to find a feasible schedule, a polynomially bounded algorithm is developed. An example to show the effectiveness of our algorithm is presented.

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

  • Hwang, Hak-Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.147-157
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    • 2006
  • In this paper we consider 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 at most three machines, we prove that there cannot exist a polynomial time algorithm with performance ratio less than 1.5.

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Production Scheduling for a Flexible Manufacturing Cell

  • 최정상
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.03a
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    • pp.209-213
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    • 1998
  • This study considers flowshop scheduling problem related to flexible maufacturing cell in which consists of two machining centers, robots for loading/unloading, and an automated guided vehicle(AGV) for material handling between two machining centers. Because no machinng center has buffer storage for work in process, a machining center can not release a finished job until the empty AGV is available at that machining center. While the AGV cannot tranfer an unfinished job to a machining center until the machining center empty. In this paper, an new heuristic algorithm is given to find the sequence that minimize their makespan.

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Heuristic Procedure on General n/m Job-Shop Scheduling Generation

  • Won, Chin Hee;Kim, Man Shik
    • Journal of Korean Society for Quality Management
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    • v.16 no.1
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    • pp.32-42
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    • 1988
  • The general n/m job-shop problem is easy to state what is required, but it is extremely difficult to make any progress whatever toward a solution. This paper was first to examine a heuristic procedure of general n/m scheduling generation focused on the procedure of MWRK (Most Work Remaining) presented by Giffler and Thompson (1960) among others. Then modified procedure was proposed to obtain better solution in light of the key measure of performance compared with that of the literature presented by Baker (1974). The modified procedure then has been extended to other example problem to test the better results and to assure the properness of application.

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A Study on Job Shop Scheduling with Overlapping Production (중첩생산을 고려한 개별생산방식의 일정계획에 관한 연구)

  • 김봉선;이춘선
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.16 no.28
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    • pp.165-171
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    • 1993
  • The algorithm of Giffler and Thompson is modified for solving job shop scheduling problems related to the overlapping production The start-lag and stop-lag are also applied New priority rules for the overlapping production are proposed and the efficiency of them is compared with that of the classical priority rules.

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A Study on Determining Single-Center Scheduling using LTV(LifeTime Value) (고객 생애 가치를 활용한 단일 창구 일정계획 수립에 관한 연구)

  • 양광모;박재현;강경식
    • Proceedings of the Safety Management and Science Conference
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    • 2003.05a
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    • pp.285-290
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    • 2003
  • There is only one server available and arriving work require services from this server. Job are processed by the machine one at a time. The most common objective is to sequence jobs on the severs so as to minimize the penalty for being late, commonly called tardiness penalty Based on other objectives, many criteria may serve as s basis for developing job schedules. Therefore, this study tries to proposed that Scheduling by customer needs group for minimizing the problem and reducing inventory, product development time, cycle time, and order lead time.

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