• Title/Summary/Keyword: Heuristic Procedure

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Branch and Bound Approach for Single-Machine Sequencing with Early/Tardy Penalties and Sequence-Dependent Setup Cost

  • Akjiratikarl, Chananes;Yenradee, Pisal
    • Industrial Engineering and Management Systems
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    • v.3 no.2
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    • pp.100-115
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    • 2004
  • The network representation and branch and bound algorithm with efficient lower and upper bounding procedures are developed to determine a global optimal production schedule on a machine that minimizes sequence-dependent setup cost and earliness/tardiness penalties. Lower bounds are obtained based on heuristic and Lagrangian relaxation. Priority dispatching rule with local improvement procedure is used to derive an initial upper bound. Two dominance criteria are incorporated in a branch and bound procedure to reduce the search space and enhance computational efficiency. The computational results indicate that the proposed procedure could optimally solve the problem with up to 40 jobs in a reasonable time using a personal computer.

A Study on Production Scheduling with respect to the possibility of the connection between machines (공작기계간 연결작업을 고려한 일정계획 수립에 관한 연구)

  • 김동희;김봉선
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.32
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    • pp.105-112
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    • 1994
  • The purpose of this paper is to develope a heuristic algorithm to maximize reduction rate of the processing time by the connection of neighbored machines. A method to calculate the start-lag and stop-lag for the overlapping production is proposed and applied. The heuristic procedure of this paper has 3 steps. In the first and second step, the job oriented procedure is applied. In the final step, the operation oriented procedure is applied. In order to evaluate the performance of this algorithm, three kinds of performance measures are selected and randomly generated problems are tested.

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The development of critical node method based heuristic procedure for Solving fuzzy assembly-line balancing problem (퍼지 조립라인밸런싱 문제 해결을 위한 주노드법에 기초한 휴리스틱 절차 개발)

  • 이상완;박병주
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.189-197
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    • 1999
  • Assembly line balancing problem is known as one of difficult combinatorial optimization problems. This problem has been solved with linear programming, dynamic programming approaches. but unfortunately these approaches do not lead to efficient algorithms. Recently, genetic algorithm has been recognized as an efficient procedure for solving hard combinatorial optimization problems, but has a defect that requires long-run time and computational complexties to find the solution. For this reason, we adapt a new method called the Critical Node Method that is intuitive, easy to understand, simple for implementation. Fuzzy set theory is frequently used to represent uncertainty of information. In this paper, to treat the data of real world problems we use a fuzzy number to represent the duration and Critical Node Method based heuristic procedure is developed for solving fuzzy assembly line balancing problem.

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An Improved Procedure for Component Scheduling in Two Printed Circuit Pack Sequencers (두대의 PCP 생산기계에서의 부품 스케쥴링을 위한 개선방법)

  • Kim, Hyoun-S.;Kang, Hyoun-G.;Lee, Chae-Y.
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.4
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    • pp.479-491
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    • 1995
  • An improved heuristic procedure is presented which minimizes the changeovers of components in manufacturing printed circuit packs (PCP). The proposed procedure first groups similar components and PCPs together as in an existing method. The procedure then assigns each group to a machine such that the load on two machines is balanced. Considerable improvement is obtained compared to the best procedure available in the literature.

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Branch-and-Bound Based Heuristic Scheduling for the Single-Hoist and Multiple-Products Production System (단일 호이스트 생산시스템에서 다양한 주문을 처리하기 위한 분지한계 기반의 휴리스틱 일정계획)

  • Lee, Jungkoo;Kim, Jeongbae;Koh, Shiegheun
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.3
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    • pp.173-181
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    • 2016
  • This paper deals with the single-hoist and multiple-products scheduling problem. Although a mixed integer linear programming model for the problem was developed earlier, a branch-and-bound based heuristic algorithm is proposed in this paper to solve the big-size problems in real situation. The algorithm is capable of handling problems incorporating different product types, jobs in the process, and tank capacities. Using a small example problem the procedure of the heuristic algorithm is explained. To assess the performance of the heuristic we generate a bigger example problem and compare the results of the algorithm proposed in this paper with the optimal solutions derived from the mathematical model of earlier research. The comparison shows that the heuristic has very good performance and the computation time is sufficiently short to use the algorithm in real situation.

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.

Heuristic Approach for Lot Sizing and Scheduling Problem with State Dependent Setup Time

  • Han, Jung-Hee
    • Industrial Engineering and Management Systems
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    • v.10 no.1
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    • pp.74-83
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    • 2011
  • In this paper, we consider a new lot-sizing and scheduling problem (LSSP) that minimizes the sum of production cost, setup cost and inventory cost. Setup carry-over, setup overlapping, state dependent setup time as well as demand splitting are considered. For this LSSP, we develop a mixed integer programming (MIP) model, of which the size does not increase even if we divide a time period into a number of micro time periods. Also, we develop an efficient heuristic algorithm by combining a decomposition scheme with a local search procedure. Test results show that the developed heuristic algorithm finds a good quality (in practice, even better) feasible solution using far less computation time compared with the CPLEX, a competitive MIP solver.

Production Planning Method Using the Push-back Heuristic Algorithm: Implementation in a Micro Filter Manufacturer in South Korea

  • Sung, Shin Woong;Jang, Young Jae;Lee, Sung Wook
    • Industrial Engineering and Management Systems
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    • v.14 no.4
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    • pp.401-412
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    • 2015
  • In this paper, we present a modeling approach to production planning for an actual production line and a heuristic method. We also illustrate the successful implementation of the proposed method on the production line. A heuristic algorithm called the push-back algorithm was designed for a single machine earliness/tardiness production planning with distinct due date. It was developed by combining a minimum slack time rule and shortest processing time rule with a push-back procedure. The results of a numerical experiment on the heuristic's performance are presented in comparison with the results of IBM ILOG CPLEX. The proposed algorithm was applied to an actual case of production planning at Woongjin Chemical, a leading manufacturer of filter products in South Korea. The seven-month execution of our algorithm led to a 24.5% decrease in the company's inventory level, thus demonstrating its practicality and effectiveness.

A heuristic m-machine flowshop scheduling method under the total tardiness criterion (Total Tardiness 기준하(基準下)에서의 m- machine Flowshop Scheduling을 위한 발견적(發見的) 기법(技法)에 관한 연구(硏究))

  • Choi, Yong-Sun;Lee, Seong-Soo;Kim, Soung-Hie
    • Journal of Korean Institute of Industrial Engineers
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    • v.18 no.1
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    • pp.91-104
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    • 1992
  • Flowshop scheduling problem is known to be NP-complete. Since the optimization apporach like branch-and-bound is limited by exponentially growing computation time, many heuristic methods have been developed. Total tardiness is one of the criteria that the researchers have recently considered in flowshop scheduling. There, however, are few literatures which studied the general (m machine)-flowshop scheduling under the total tardiness criterion. In this paper, a heuristic scheduling method to minimize total tardiness at the (m machine, n job)-flowshop is presented. A heuristic value function is proposed to be used as a dispatching criterion in initial schedule generation. And the schedule improving procedure, by pairwise interchange of tardy job with the job right ahead of it, is introduced. Illustrative examles and simulated results are presented.

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Common Due-Data Determination and Sequencing on Parallel Processors (병렬 기계에 있어서 공통 납기 결정과 일정 계획)

  • 오명진;이상도
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.23
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    • pp.27-36
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    • 1991
  • This paper considers scheduling a set of n-jobs on m-paraller identical processors in which all jobs have the common due date. The objective of the problem is to minimize the weighted mean absolute deviation of job completion times about such common due dates under the assumption that each job has a different weight. and to determine the optimal value of a common due date. We propose four heuristic solution methods based on several dominance conditions, and its solution procedure is illustrated with numerical examples. The Performance comparison is made among four heuristic scheduling procedures.

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