• Title/Summary/Keyword: Flowtime

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Efficient Heuristics for Flowshop Scheduling for Minimizing the Makespan and Total Flowtime of Jobs

  • Hirakawa, Yasuhiro;Ishigaki, Aya
    • Industrial Engineering and Management Systems
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    • v.10 no.2
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    • pp.134-139
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    • 2011
  • The problem of scheduling in permutation flowshops has been extensively investigated by many researchers. Recently, attempts are being made to consider more than one objective simultaneously and develop algorithms to obtain a set of Pareto-optimal solutions. Varadharajan et al. (2005) presented a multi-objective simulated-annealing algorithm (MOSA) for the problem of permutation-flowshop scheduling with the objectives of minimizing the makespan and the total flowtime of jobs. The MOSA uses two initial sequences obtained using heuristics, and seeks to obtain non-dominated solutions through the implementation of a probability function, which probabilistically selects the objective of minimizing either the makespan or the total flowtime of jobs. In this paper, the same problem of heuristically developing non-dominated sequences is considered. We propose an effective heuristics based on simulated annealing (SA), in which the weighted sum of the makespan and the total flowtime is used. The essences of the heuristics are in selecting the initial sequence, setting the weight and generating a solution in the search process. Using a benchmark problem provided by Taillard (1993), which was used in the MOSA, these conditions are extracted in a large-scale experiment. The non-dominated sets obtained from the existing algorithms and the proposed heuristics are compared. It was found that the proposed heuristics drastically improved the performance of finding the non-dominated frontier.

A heuristic algorithm for mean flowtime minimization in permutation flowshop scheduling (순열 flowshop 스케줄링에서의 평균 flowtime 최소화를 위한 경험적 알고리듬)

  • Woo, Hoon-Shik;Yim, Dong-Soon;Lee, Wan-Kyu
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.1
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    • pp.115-127
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    • 1996
  • Based on a job insertion method, we developed a heuristic algorithm for the mean flowtime objective in a permutation flowshop environment. The simulation experiments are implemented to evaluate the effectiveness of the proposed algorithm against the existing heuristics. The experiments reveal the superiority of the proposed algorithm to other heuristics especially when the ratio of the number of jobs and number of machines is greater than or equal to two.

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Heuristic Algorithms for Minimizing Flowtime in the 2-Stage Assembly Flowshop Scheduling (부품 생산과 조립으로 구성된 2단계 조립 일정계획의 Flowtime 최소화 연구)

  • Lee, Ik-Sun;Yoon, Sang-Hum;Ha, Gui-Ryong;Juhn, Jae-Ho
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.4
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    • pp.45-57
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    • 2010
  • This paper considers a 2-stage assembly flowshop scheduling problem where each job is completed by assembling multiple components. The problem has the objective measure of minimizing total completion time. The problem is shown to be NP-complete in the strong sense. Thus, we derive some solution properties and propose three heuristic algorithms. Also, a mixed-integer programming model is developed and used to generate a lower bound for evaluating the performance of proposed heuristics. Numerical experiments demonstrate that the proposed heuristics are superior over those of previous research.

Scheduling Algorithms for Minimizing Total Weighted Flowtime in Photolithography Workstation of FAB (반도체 포토공정에서 총 가중작업흐름시간을 최소화하기 위한 스케쥴링 방법론에 관한 연구)

  • Choi, Seong-Woo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.1
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    • pp.79-86
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    • 2012
  • This study focuses on the problem of scheduling wafer lots of several recipe(operation condition) types in the photolithography workstation in a semiconductor wafer fabrication facility, and sequence-dependent recipe set up times may be required at the photolithography machines. In addition, a lot is able to be operated at a machine when the reticle(mask) corresponding to the recipe type is set up in the photolithography machine. We suggest various heuristic algorithms, in which developed recipe selection rules and lot selection rules are used to generate reasonable schedules to minimizing the total weighted flowtime. Results of computational tests on randomly generated test problems show that the suggested algorithms outperform a scheduling method used in a real manufacturing system in terms of the total weighted flowtime of the wafer lots with ready times.

Operation control method for multiple objectives on multiple stages automated machining /assembly systems (다단계 자동가공/조립제조시스템에서 다목표 작업제어 기법)

  • 최정상
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.1
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    • pp.95-103
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    • 1998
  • This paper is concentraed on a study of operation for multiple objectives in a automated manufacturing system with multiple machining cells . Largest Sum Processing-time First(LSPF) was developed in order to minimize makespan, mean flowtime and maximize mean utilization and compare with Ho and Chang's algorithm(HC) and Hunsucker and Shah's algorithm(HS). The results show that LSPF provides better soutions than HC at 78.2% and than HS at 67.8% of total problems to frequency . LSPF reduces 5.8% of makespan by HC and 22.1% of the value by HS and curtails 15.8% , 7.5% of mean flowtime by receptive algorithms(HC, HS). And mean utilization is also higher about 5.5% than HC and HS.

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Tabu Search for Job Shop Scheduling (Job Shop 일정계획을 위한 Tabu Search)

  • Kim, Yeo-Keun;Bae, Sang-Yun;Lee, Deog-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.3
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    • pp.409-428
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    • 1995
  • Job shop scheduling with m different machines and n different jobs is a NP-hard problem of combinatorial optimization. The purpose of the paper is to develop the heuristic method using tabu search for job shop scheduling to minimize makespan or mean flowtime. To apply tabu search to job shop scheduling problem, in this paper we propose the several move methods that employ insert moves in order to generate the neighbor solutions, and present the efficient rescheduling procedure that yields active schedule for a changed operation sequence by a move of operations. We also discuss the tabu search techniques of diversifying the search of solution space as well as the simple tabu search. By experiments, we find the appropriate tabu list size and tabu attributes, and analyze the proposed tabu search techniques with respect to the quality of solutions and the efforts of computation. The experimental results show that the proposed tabu search techniques using long-term memory function have the ability to search a good solution, and are more efficient in the mean flowtime minimization problem than in the makespan minimization.

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Branch and Bound Algorithm for Two-Machine Reentrant Flowshop with the Objective of Minimizing Total Flowtime (재투입이 존재하는 2단계 흐름공정에서 총 작업 흐름시간을 최소화하는 분지한계방법)

  • Choi, Seong-Woo;Shim, Sang-Oh
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.4
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    • pp.1-9
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    • 2010
  • In this paper, we consider a two-machine re-entrant permutation flowshop scheduling problem with the objective of minimizing total flowtime, and suggest branch and bound algorithms for the scheduling problem. In this scheduling problem, each job must be processed twice on each machine, that is, each job should be processed on the two machines in the order of machine 1, machine 2 and then machine 1 and machine 2. In this research, based on the results of existing researches for re-entrant permutation flowshop scheduling problems, various dominance properties, lower bound and heuristic algorithm are suggested for the problem, and those are used to develop branch and bound algorithms. In the computational experiments for evaluation of the performance of the algorithms, the suggested branch and bound algorithms are tested on randomly generated test problems and results are reported.

A Comparison of Dispatching Rules for Auxiliary Resource Constrained Job Shop Scheduling (추가자원제약을 갖는 Job Shop 작업계획의 성능 비교)

  • Bae Sang-Yun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.1
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    • pp.140-146
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    • 2005
  • This study presents the new dispatching rules of job shop scheduling with auxiliary resource constraint to improve the schedule performance measures related to completion time and due dates. The proposed dispatching rules consider the information of total work remaining and machine utilization to decrease mean flowtime and mean tardiness. The results of computer experiments show that those schedule performances are significantly improved by using the new dispatching rules. The results provide guidance for the researchers and practitioners of auxiliary resource constrained job shop scheduling to decrease mean flowtime and mean tardiness.

Scheduling for a Flexible Manufacturing Cell with Transportation Time (유연가공셀에서 운반시간을 고려한 일정계획)

  • 최정상;노인규
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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    • pp.107-118
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    • 1994
  • This research is concerned with production scheduling for a flexible manufacturing cell which consists of two machine centers with unlimited buffer space and a single automatic guided vehicle. The objective is to develop and evaluate heuristic scheduling procedures that minimize maximum completion time. A numerical example illustrates the proposed algorithm. The heuristic algorithm is implemented for various cases by SLAM II. The results show that the proposed algorithm provides better solutions than Johnson's. It also gets good solutions to minimize mean flowtime.

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Multi-objective Scheduling with Stochastic Processing Times

  • Jung, Young-Sik
    • Journal of the Korean Operations Research and Management Science Society
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    • v.20 no.1
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    • pp.179-193
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    • 1995
  • A multi-objective, single-stage scheduling problem with stochastic processing times is considered where the objective is to simultaneously minimize the expected value and the variance of total flowtime, and the mean probability of tardiness. In cases where processing times follow normal distributions, a method using pairwise interchange of two jobs(PITJ) is proposed to generate a set of the approximate efficient schedules. The efficient schedules are not dominated by the criterion vectors of any other permutation schdules in the feasible region. Numerical experiments performed to ascertain the effectiveness of PITJ algorithm are also reported in the results.

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