• Title/Summary/Keyword: Weighted Tardiness

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Heuristics for Job Shop Scheduling Problems with Progressive Weighted Tardiness Penalties and Inter-machine Overlapping Sequence-dependent Setup Times

  • Mongkalig, Chatpon;Tabucanon, Mario T.;Hop, Nguyen Van
    • Industrial Engineering and Management Systems
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    • v.4 no.1
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    • pp.1-22
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    • 2005
  • This paper presents new scheduling heuristics, namely Mean Progressive Weighted Tardiness Estimator (MPWT) Heuristic Method and modified priority rules with sequence-dependent setup times consideration. These are designed to solve job shop scheduling problems with new performance measures - progressive weighted tardiness penalties. More realistic constraints, which are inter-machine overlapping sequence-dependent setup times, are considered. In real production environments, inter-machine overlapping sequence-dependent setups are significant. Therefore, modified scheduling generation algorithms of active and nondelay schedules for job shop problems with inter-machine overlapping sequence-dependent setup times are proposed in this paper. In addition, new customer-based measures of performance, which are total earliness and progressive weighted tardiness, and total progressive weighted tardiness, are proposed. The objective of the first experiment is to compare the proposed priority rules with the consideration of sequence-dependent setup times and the standard priority rules without setup times consideration. The results indicate that the proposed priority rules with setup times consideration are superior to the standard priority rules without the consideration of setup times. From the second experiment and the third experiment to compare the proposed MPWT heuristic approach with the efficient priority rules with setup times consideration, the MPWT heuristic method is significantly superior to the Batched Apparent Tardiness Cost with Sequence-dependent Setups (BATCS) rule, and other priority rules based on total earliness and progressive weighted tardiness, and total earliness and tardiness.

Scheduling Orders for Minimizing Total Weighted Tardiness (가중납기지연시간을 고려한 최적 주문처리순서에 관한 연구)

  • Lee, Ik-Sun;Yoon, Sang-Hum
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.2
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    • pp.87-101
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    • 2008
  • This paper considers an order scheduling model to minimize the total weighted tardiness of orders. Each order requires different types of products. Each type of product is manufactured on its dedicated machine specified in advance. The completion time of each order is represented by the time when all the products belonging to the order are completed. The objective of this paper is to find the optimal production schedule minimizing the total weighted tardiness of a finite number of orders. In the problem analysis, we first derive a powerful solution property to determine the sequence of two consecutive orders. Moreover, two lower bounds of objective are derived and tested along with the derived property within a branch-and-bound scheme. Two efficient heuristic algorithms are also developed. The overall performances of the proposed property, branch-and-bound and heuristic algorithms are evaluated through various numerical experiments.

Minimizing Weighted Tardiness using Decomposition Method (분할법을 이용한 가중납기지연 최소화 문제)

  • Byeon, Eui-Seok;Hong, Sung-Wook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.1
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    • pp.109-115
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    • 2006
  • Exact solutions for practical-size problems in job shop will be highly inefficient. Scheduling heuristics, therefore, are typically found in the literature. If we consider real-life situations such as machine breakdowns, the existing scheduling methods will be even more limited. Scheduling against due-dates addresses one of the most critical issues in modern manufacturing systems. In this paper, the method for weighted tardiness schedule using a graph theoretic decomposition heuristic is presented. It outstands the efficiency of computation as well as the robustness of the schedule.

An Algorithm for Resource-Unconstrained Earliness-Tardiness Problem with Partial Precedences (자원 제약이 없는 환경에서 부분 우선순위를 고려한 Earliness-Tardiness 최적 일정계획 알고리즘)

  • Ha, Byung-Hyun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.38 no.2
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    • pp.141-157
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    • 2013
  • In this paper, we consider the minimization of the total weighted earliness-tardiness penalty of jobs, regarding the partial precedences between jobs. We present an optimal scheduling algorithm in O(n(n+m log m)) where n is the number of jobs and m is the number of partial precedences. In the algorithm, the optimal schedule is constructed iteratively by considering each group of contiguous jobs as a block that is represented by a tree.

Scheduling for Parallel Machines with Family Setup Times (패밀리 셋업이 존재하는 병렬기계 일정계획 수립)

  • Kwon Ick-Hyun;Shin Hyun-Joon;Eom Dong-Hwan;Kim Sung-Shick
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.1
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    • pp.27-41
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    • 2005
  • This paper considers identical parallel machine scheduling problem. Each job has a processing time. due date. weight and family type. If a different type of job is followed by prior job. a family setup is incurred. A two phased heuristic is presented for minimizing the sum of weighted tardiness. In the first phase. using roiling horizon technique. group each job into same family and schedule each family. In the second phase. assign each job to machines using schedule obtained in the first phase. Extensive computational experiments and comparisons among other algorithms are carried out to show the efficiency of the proposed algorithm.

Minimization of Total Weighted Earliness and Tardiness on a Single Burn-In Oven U sing a Genetic Algorithm (단일 Burn-In Oven에서 Total Weighted Earliness와 Tardiness를 최소화하기 위한 유전자 알고리즘의 활용)

  • Park, You-Jin
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.31 no.4
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    • pp.21-28
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    • 2008
  • 본 연구는 반도체 제조공정에서 사용되는 단일 Burn-In oven에서의 Total weighted earliness와 Tardiness를 최소화하기 위한 생산 스케줄링을 결정하는 문제를 다룬다. 본 연구에서는 모든 작업은 상시에 시작가능하고 각각은 서로 다른 가중치를 가지고 있다고 가정하였다. 일반적으로 단일 Burn-In oven은 다양한 작업들이 동시에 가능한 Batch processing 기계이다. 따라서 다양한 작업들로 구성된 하나의 Batch의 Processing time은 그 Batch 내에 있는 가장 긴 Processing time을 가지는 작업에 의해 결정된다. 본 연구에서 Batch size는 미리 결정되지 않은 상황이라고 가정한 후, 최적의 Batch 개수와 작업의 순서를 결정하기 위해 유전자 알고리즘을 적용하였다. 수리적 예제를 통해서 다양한 접근방법의 성능들을 비교한 결과, 유전자 알고리즘이 Total weighted earliness와 Tardiness를 최소화하는데 가장 뛰어난 성능을 가지고 있음을 알 수 있다.

A Genetic Algorithm for the Parallel-Machine Total Weighted Tardiness Problem (병렬기계에서 납기지연 가중 합을 최소화하기 위한 유전 알고리듬)

  • Park, Moon-Won
    • Journal of Korean Institute of Industrial Engineers
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    • v.26 no.2
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    • pp.183-192
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    • 2000
  • This paper considers the problem of scheduling a set of n jobs on m parallel machines to minimize total weighted tardiness. For the problem a genetic algorithm is proposed, in which solutions are encoded using the random key method suggested by Bean and new crossover operators are employed to increase performance of the algorithm. The algorithm is compared with the Modified Due-Date (MDD) algorithm after series of tests to find appropriate values for genetic parameters. Results of computational tests on randomly generated test problems show that the suggested algorithm performs better than the MDD algorithm and gives good solutions in a reasonable amount of computation time.

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A Study on the Order Release Method in Job Shop (Job Shop에서의 주문 투입 통제 방안 연구)

  • Choi, Ki-Beom;Kim, Sung-Shick;Lee, Hong-Chul
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.2
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    • pp.192-203
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    • 1999
  • This paper deals with the order release problem for minimizing weighted earliness and tardiness as well as Work In Process (WIP) in dynamic job shop environments. A newly designed hierarchical order release mechanism is developed for efficient real-time control of the earliness/tardiness and WIP. The hierarchical order release mechanism consists of the order release plan and the order release control which is composed of two procedures. The experimental results show that the proposed order release mechanism is superior to other four order release mechanisms under overall simulation conditions of utilization rate, due-date allowances, and earliness/tardiness cost structures. In addition, the difference of total cost among the four dispatching rules is much more reduced in the proposed order release mechanism than in other release mechanisms.

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Scheduling with regard to start lag in process group (공정 그룹별 Start lag을 고려한 스케쥴링)

  • 전태준;박성호
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.10a
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    • pp.299-302
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    • 1996
  • The purpose of this study is developing scheduling logic and program for machining scheduling of automobile part production line with unbalanced processing time. Three rules are developed to minimize slack and effect on other job. Fourth rule is suggested which considered weighted sum of three factors. schedule is generated totally 1, 000 times and then optimal weight parameter is selected. The program is developed to schedule situation to compare with the performance measure, total finish time of machine and total tardiness of part. As a result, the rule which considered weighted sum of three factors is effective for both measure.

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Task Scheduling and Multiple Operation Analysis of Multi-Function Radars (다기능 레이더의 임무 스케줄링 및 복수 운용 개념 분석)

  • Jeong, Sun-Jo;Jang, Dae-Sung;Choi, Han-Lim;Yang, Jae-Hoon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.3
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    • pp.254-262
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    • 2014
  • Radar task scheduling deals with the assignment of task to efficiently enhance the radar performance on the limited resource environment. In this paper, total weighted tardiness is adopted as the objective function of task scheduling in operation of multiple multi-function radars. To take into account real-time implementability, heuristic index-based methods are presented and investigated. Numerical simulations for generic search and track scenarios are performed to evaluate the proposed methods, in particular investigating the effectiveness of multi-radar operation concepts.