• Title/Summary/Keyword: MAKESPAN

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A Two-Stage Scheduling Approach on Hybrid Flow Shop with Dedicated Machine (전용기계가 있는 혼합흐름공정의 생산 일정 계획 수립을 위한 2단계 접근법)

  • Kim, Sang-Rae;Kang, Jun-Gyu
    • Journal of Korean Society for Quality Management
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    • v.47 no.4
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    • pp.823-835
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    • 2019
  • Purpose: This study deals with a production planning and scheduling problem to minimize the total weighted tardiness on hybrid flow shop with sets of non-identical parallel machines on stages, where parallel machines in the set are dedicated to perform specific subsets of jobs and sequence-dependent setup times are also considered. Methods: A two-stage approach, that applies MILP model in the 1st stage and dispatching rules in the 2nd stage, is proposed in this paper. The MILP model is used to assign jobs to a specific machine in order to equalize the workload of the machines at each stage, while new dispatching rules are proposed and applied to sequence jobs in the queue at each stage. Results: The proposed two-stage approach was implemented by using a commercial MILP solver and a commercial simulation software and a case study was developed based on the spark plug manufacturing process, which is an automotive component, and verified using the company's actual production history. The computational experiment shows that it can reduce the tardiness when used in conjunction with the dispatching rule. Conclusion: This proposed two-stage approach can be used for HFS systems with dedicated machines, which can be evaluated in terms of tardiness and makespan. The method is expected to be used for the aggregated production planning or shop floor-level production scheduling.

A Heuristic Algorithm for Tool Loading and Scheduling in a Flexible Manufacturing System with an Automatic Tool Transporter (공구이송이 가능한 유연제조시스템에서의 공구 할당 및 스케쥴링을 위한 발견적 기법)

  • Park, Sang-Sil;Kim, Yeong-Dae
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.1
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    • pp.119-135
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    • 1995
  • We consider problems of tool loading and scheduling in a flexible manufacturing system (FMS) in which tool transportation constitutes the major portion of material flows. In this type of FMSs, parts are initially assigned to machines and released to the machines according to input sequencing rules. Operations for the parts released to the machines are performed by tools initially loaded onto the machines or provided by an automatic tool transport robot when needed. For an efficient operation of such systems, therefore, we may have to consider loading and scheduling problems for tools in addition to those for parts. In this paper, we consider three problems, part loading, tool loading, and tool scheduling problems with the overall objective of minimizing the makespan. The part loading problem is solved by a method similar to that for the bin packing problem and then a heuristic based on the frequency of tool usage is applied for tool loading. Also suggested are part input sequencing and tool scheduling rules. To show the effectiveness of the overall algorithm suggested here, we compare it with an existing algorithm through a series of computational tests on randomly generated test problems.

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Development of a two-phase heuristic method for the enhancement of a production schedule (생산일정계획 성능향상을 위한 2단계 휴리스틱 방법의 개발)

  • 홍윤호;김승권;이준열
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1994.04a
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    • pp.635-645
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    • 1994
  • 생산현장은 생산일정을 실천하는 과정에서 생산일정수립시에 이용하는 정보의 부정확성과 작업장내의 동적특성 때문에 기존에 수립했던 일정을 더 이상 수행하기 어려운 상황에 놓이게 되는 경우가 잦다. 따라서 변화된 방황에 맞게끔 재일정을 신속하게 수립해 주어야 한다. 일정에 동적인 상황을 반영하기 쉽게 하고 일정에 대한 사용자의 이해를 도와서 좋은 일정을 빠른 시간내에 수립하기 위해 생산통제시스템을 사용자 편의의 일정편집기능과 일정수립기능을 제공하는 의사결정 지원시스템으로 설계하였다. 일정편집기능은 규칙기반 시스템으로 구현되었으며 사용자가 편집작업을 수행했을 경우 일저으이 국소적인 변화가 전체에 파급시키는 효과를 추적하여 생산일정의 실행가능성을 유지시켜 준다. 이를 통해 사용자가 일정에 대한 이해와 확신을 가지고 일정을 실천에 옮기게 할 수 있을 뿐만 아니라, 사용자의 의사를 적극 반영할 수 있어서 좀 더 현실적인 일정운영이 가능하다. 한편 일정수립기능을 위해 2단계 일정계획 방법을 고안하였다. 단계 1에서는 우선순위 규칙으로 일정을 수립하고 단계 2에서는 단계 1에서 수립된 일정을 makespan 측면에서 개선시켜 일정을 향상시키는 방법을 취하므로서 우선순위 규칙만을 사용하는 근시안적인 방법보다는 수행도가 좋으면서 타당한 시간내에 일정을 수립할 수 있도록 하였다.

Mixed-Integer programming model for scheduling of steelmaking processes (철강 공정의 일정계획을 위한 혼합정수계획 모델)

  • Bok, Jin-Gwang;Lee, Dong-Yeop;Park, Seon-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.6
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    • pp.714-723
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    • 1999
  • This paper presents a short-term scheduling algorithm for the operation of steelmaking processes. The scope of the problem covers refining of the hot iron transferred form a blast furnace, ladle treatment, continuous casting, hot-rolling, and coiling for the final products that should satisfy the given demand. The processing time at each unit depends on how much the batch amount is treated, and te dedicated intermediate storage with finite capacity between the units is considered. Resource constraints and initial amount of each state are incorporated into the presented scheduling model for the algorithm of on-line scheduling. We propose amixed integer linear programming (MILP) model with two objectives for the scheduling. The first is to maximize the total profit while atisfying the due date constraint for each product. And the second is to minimize the total processing time, makespan, while satisfying the demand for each product. Especially, we observe the effect of penalizing the intermediate storage and the inventory level of the final product on the scheduling results.

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Production Scheduling for a Two-machine Flow Shop with a Batch Processing Machine (배치처리기계를 포함하는 두 단계 흐름생산라인의 일정계획)

  • Koh, Shie-Gheun;Koo, Pyung-Hoi;Kim, Byung-Nam
    • Journal of Korean Institute of Industrial Engineers
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    • v.34 no.4
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    • pp.481-488
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    • 2008
  • This paper deals with a scheduling problem for two-machine flow shop, in which the preceding machine is a batch processing machine that can process a number of jobs simultaneously. To minimize makespan of the system, we present a mixed integer linear programming formulation for the problem, and using this formulation, it is shown that an optimal solution for small problem can be obtained by a commercial optimization software. However, since the problem is NP-hard and the size of a real problem is very large, we propose a number of heuristic algorithms including genetic algorithm to solve practical big-sized problems in a reasonable computational time. To verify performances of the algorithms, we compare them with lower bound for the problem. From the results of these computational experiments, some of the heuristic algorithms show very good performances for the problem.

Case Study on the continuous pickup and delivery vehicle routing problem in Multi-level Logistic Network based on S automobile Part Logistics Process (다단계 물류 네트워크에서 A/S 부품 집화 및 배송이 연속적으로 발생하는 문제에 관한 사례연구 -자동차 부품 물류 프로세스를 중심으로-)

  • Song, Jun-Woo;Kim, Kyung-Sup;Jeong, Suk-Jae
    • Journal of the Korea Safety Management & Science
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    • v.15 no.2
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    • pp.193-204
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    • 2013
  • The growing logistics strategy of a company is to optimize their vehicle route scheduling in their supply chain system. It is very important to analyze for continuous pickups and delivery vehicle scheduling. This paper is a computational study to investigate the effectiveness of continuous pickups and delivery vehicle routing problems. These scheduling problems have 3 subproblems; Inbound Vehicle Routing Problem with Makespan and Pickup, Line-haul Network Problem, and Outbound Vehicle Routing Problem with Delivery. In this paper, we propose 5 heuristic Algorithms; Selecting Routing Node, Routing Scheduling, Determining Vehicle Type with Number and Quantity, and Modification Selecting Routing Node. We apply these Algorithms to S vehicle company. The results of computational experiments demonstrate that proposed methods perform well and have better solutions than other methods considering the basic time and due-date.

Polynomial Time Algorithm for Multi-Beam SS/TDMA Satellite Communications Scheduling Problem with Frequency-Hopping Ground Stations

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.7
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    • pp.33-40
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    • 2015
  • The time slot assignment problem (TSAP) or Satellite Communications scheduling problem (SCSP) for a satellite performs $n{\times}n$ ground station data traffic switching has been known NP-hard problem. This paper suggests $O(n^2)$ time complexity algorithm for TSAP of a satellite that performs $n^2{\times}n^2$ ground station data traffic switching. This problem is more difficult than $n{\times}n$ TSAP as NP-hard problem. Firstly, we compute the average traffic for n-transponder's basic coverage zone and applies ground station exchange method that swap the ground stations until all of the transponders have a average value as possible. Nextly, we transform the D matrix to $D_{LB}$ traffic matrix that sum of rows and columns all of transponders have LB. Finally, we select the maximum traffic of row and column in $D_{LB}$, then decide the duration of kth switch mode to minimum traffic from selected values. The proposed algorithm can be get the optimal solution for experimental data.

Cost-Based Rank Scheduling Algorithm for Multiple Workflow Applications in Cloud Computing (클라우드 컴퓨팅에서 다중 워크플로우 어플리케이션을 위한 비용 기반 랭크 스케줄링 알고리즘)

  • Choe, Gyeong-Geun;Lee, Bong-Hwan
    • The KIPS Transactions:PartA
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    • v.18A no.1
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    • pp.11-18
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    • 2011
  • Cloud computing is a new computing paradigm for sharing resources. Various applications used for cloud services are represented as workflows. These workflow applications must be appropriately allocated to resources or services in cloud. In this paper, a new scheduling algorithm is proposed for multiple workflow applications considering cloud computing environment. The cost-based rank scheduling algorithm considers not only multiple workflow applications, but various QoS metrics for evaluating services. Simulation results show that the proposed algorithm can improve the mean makespan and the availability significantly over two well-known algorithms.

Scate: A Scalable Time and Energy Aware Actor Task Allocation Algorithm in Wireless Sensor and Actor Networks

  • Sharifi, Mohsen;Okhovvat, Morteza
    • ETRI Journal
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    • v.34 no.3
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    • pp.330-340
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    • 2012
  • In many applications of wireless sensor actor networks (WSANs) that often run in harsh environments, the reduction of completion times of tasks is highly desired. We present a new time-aware, energy-aware, and starvation-free algorithm called Scate for assigning tasks to actors while satisfying the scalability and distribution requirements of WSANs with semi-automated architecture. The proposed algorithm allows concurrent executions of any mix of small and large tasks and yet prevents probable starvation of tasks. To achieve this, it estimates the completion times of tasks on each available actor and then takes the remaining energies and the current workloads of these actors into account during task assignment to actors. The results of our experiments with a prototyped implementation of Scate show longer network lifetime, shorter makespan of resulting schedules, and more balanced loads on actors compared to when one of the three well-known task-scheduling algorithms, namely, the max-min, min-min, and opportunistic load balancing algorithms, is used.

Job Shop Scheduling by Tabu Search Combined with Constraint Satisfaction Technique (Tabu Search와 Constraint Satisfaction Technique를 이용한 Job Shop 일정계획)

  • 윤종준;이화기
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.2
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    • pp.92-101
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    • 2002
  • The Job Shop Scheduling Problem(JSSP) is concerned with schedule of m different machines and n jobs where each job consists of a chain of operations, each of which needs to be processed during an uninterrupted time period of a given length on a given machine. The purpose of this paper is to develop the efficient heuristic method for solving the minimum makespan problem of the large scale job shop scheduling. The proposed heuristic method is based on a Tabu Search(TS) and on a Constraint Satisfaction Technique(CST). In this paper, ILOG libraries is used to embody the job shop model, and a CST is developed for this model to generate the increased solution. Then, TS is employed to overcome the increased search time of CST on the increased problem size md to refine the next-current solution. Also, this paper presents the new way of finding neighbourhood solution using TS. On applying TS, a new way of finding neighbourhood solution is presented. Computational experiments on well known sets of MT and LA problem instances show that, in several cases, our approach yields better results than the other heuristic procedures discussed In literature.