• Title/Summary/Keyword: Heuristic method

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A Development of Heuristic Algorithms for the Multi-stage Manufacturing Systems with Sequence Dependent Setup Times (준비시간이 종속적인 n/M 스케쥴링 문제의 휴리스틱 알고리듬(I))

  • Choe, Seong-Un;No, In-Gyu
    • Journal of Korean Society for Quality Management
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    • v.17 no.1
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    • pp.35-47
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    • 1989
  • This paper is concerned with a development and evaluation of heuristic algorithms for the n-job, M-stage flowshop with sequence dependent setup times. Three heuristic algorithms, CAIDAN, DANNEN and PETROV, are proposed. The makespan is taken as a performance measure for the algorithms. The experiment for each algorithm is designed for a $4{\times}3{\times}3$ factorial design with 360 observations. The experimental factors are PS (ratio of processing times to setup times), M (number of machines), and N (number of jobs). The makespan of the proposed heuristic algorithms is compared with the optimal makespan obtained by the complete enumeration method. The result of comparision of performance measure is called a relative error. The mean relative errors of CAIDAN, DANNEN and PETROV algorithms are 4.488%. 6.712% and 7.282%, respectively. The computational results are analysed using SPSS. The experimental results show that the three factors are statistically signiticant at 5% level.

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A Heuristic Solution for the Inventory Constrained Ship Routing for Multi-Commodity Bulk (복합화물의 재고를 고려한 선박 운송계획에 관한 발견적 해법)

  • Won, Suk-Hee;Hwang, Seung-June
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.4
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    • pp.142-152
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    • 2009
  • We developed two heuristic methods to solve the problem considering a fleet of ships delivering chemical products from terminals to terminals. We need to decide how much of each product to carry, on which ship, subject to the conditions that all terminals must have sufficient products to meet demand, and the stock levels of the products cannot exceed the inventory capacity of that terminal. Mathematical formulation and the optimal objective value for the small size problems are compared with two greedy heuristic methods developed in terms of solution qualities and computing time. Numerical experiments on test problems indicate that the heuristics are effective at finding good solutions quickly.

Diffusion-Based Influence Maximization Method for Social Network (소셜 네트워크를 위한 확산기반 영향력 극대화 기법)

  • Nguyen, Tri-Hai;Yoo, Myungsik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.10
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    • pp.1244-1246
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    • 2016
  • Influence maximization problem is to select seed node set, which maximizes information spread in social networks. Greedy algorithm shows an optimum solution, but has a high computational cost. A few heuristic algorithms were proposed to reduce the complexity, but their performance in influence maximization is limited. In this paper, we propose general degree discount algorithm, and show that it has better performance while keeping complexity low.

A Flexible Branch and Bound Method for the Job Shop Scheduling Problem

  • Morikawa, Katsumi;Takahashi, Katsuhiko
    • Industrial Engineering and Management Systems
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    • v.8 no.4
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    • pp.239-246
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    • 2009
  • This paper deals with the makespan minimization problem of job shops. The problem is known as one of hard problems to optimize, and therefore, many heuristic methods have been proposed by many researchers. The aim of this study is also to propose a heuristic scheduling method for the problem. However, the difference between the proposed method and many other heuristics is that the proposed method is based on depth-first branch and bound, and thus it is possible to find an optimal solution at least in principle. To accelerate the search, when a node is judged hopeless in the search tree, the proposed flexible branch and bound method can indicate a higher backtracking node. The unexplored nodes are stored and may be explored later to realize the strict optimization. Two methods are proposed to generate the backtracking point based on the critical path of the current best feasible schedule, and the minimum lower bound for the makespan in the unexplored sub-problems. Schedules are generated based on Giffler and Thompson's active schedule generation algorithm. Acceleration of the search by the flexible branch and bound is confirmed by numerical experiment.

A Study of Job Shop Scheduling for Minimizing Tardiness with Alternative Machines (대체기계가 존재하는 Job Shop 일정계획 환경에서 납기지연을 최소화하는 방법에 관한 연구)

  • Kim, Ki-Dong;Kim, Jae-Hong
    • Journal of Industrial Technology
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    • v.28 no.A
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    • pp.51-61
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    • 2008
  • In these days, domestic manufacturers are faced with managerial difficulties such as the increasing competition in their industry and the increasing power of customers. In this situation, they have to satisfy their customers with high quality of their products and meeting due date of their orders. Production of the order within due date is an important factor for improving enterprise competitiveness. The causes of occurrence of tardiness may be wrong product scheduling, unexpected events in field and so on, a way to minimize tardiness is use of alternative machines, overwork, outsourcing and etc.. In this study, we deal with a scheduling problem that can minimize tardiness using alternative machines. This paper provides a mathematical program and a heuristic method for job shop scheduling for minimizing tardiness with alternative machines. And a proposed heuristic method is verified comparing with optimal solution obtained by ILOG CPLEX.

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A design for hub-and-spoke transportation networks using an evolutionary algorithm (진화알고리듬을 이용한 hub-anb-spoke 수송네트워크 설계)

  • Lee, Hyeon-Su;Sin, Gyeong-Seok;Kim, Yeo-Geun
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.59-71
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    • 2005
  • In this paper we address a design problem for hub and spoke transportation networks and then consider a capacitated hub locations problem with direct shipment (CHLPwD). We determine the location of hubs, the allocation of nodes to hubs, and direct shipment paths in the network, with the objective of minimizing the total cost in the network. An evolutionary algorithm is developed here to solve the CHLPwD. To do this, we propose the representation and the genetic operators suitable for the problem and adopt a heuristic method for the allocation of nodes to hubs. To enhance the search capability, problem-specific information is used in our evolutionary algorithm. The proposed algorithm is compared with the heuristic method in terms of solution quality and computation time. The experimental results show that our algorithm can provide better solutions than the heuristic.

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A Geometrical Center based Two-way Search Heuristic Algorithm for Vehicle Routing Problem with Pickups and Deliveries

  • Shin, Kwang-Cheol
    • Journal of Information Processing Systems
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    • v.5 no.4
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    • pp.237-242
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    • 2009
  • The classical vehicle routing problem (VRP) can be extended by including customers who want to send goods to the depot. This type of VRP is called the vehicle routing problem with pickups and deliveries (VRPPD). This study proposes a novel way to solve VRPPD by introducing a two-phase heuristic routing algorithm which consists of a clustering phase and uses the geometrical center of a cluster and route establishment phase by applying a two-way search of each route after applying the TSP algorithm on each route. Experimental results show that the suggested algorithm can generate better initial solutions for more computer-intensive meta-heuristics than other existing methods such as the giant-tour-based partitioning method or the insertion-based method.

Optimum redundancy design for maximum system reliability: A genetic algorithm approach (최대 시스템 신뢰도를 위한 최적 중복 설계: 유전알고리즘에 의한 접근)

  • Kim Jae Yun;Shin Kyoung Seok
    • Journal of Korean Society for Quality Management
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    • v.32 no.4
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    • pp.125-139
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    • 2004
  • Generally, parallel redundancy is used to improve reliability in many systems. However, redundancy increases system cost, weight, volume, power, etc. Due to limited availability of these resources, the system designer has to maximize reliability subject to various constraints or minimize resources while satisfying the minimum requirement of system reliability. This paper presents GAs (Genetic Algorithms) to solve redundancy allocation in series-parallel systems. To apply the GAs to this problem, we propose a genetic representation, the method for initial population construction, evaluation and genetic operators. Especially, to improve the performance of GAs, we develop heuristic operators (heuristic crossover, heuristic mutation) using the reliability-resource information of the chromosome. Experiments are carried out to evaluate the performance of the proposed algorithm. The performance comparison between the proposed algorithm and a pervious method shows that our approach is more efficient.

An Ant Colony Optimization Approach for the Maximum Independent Set Problem (개미 군집 최적화 기법을 활용한 최대 독립 마디 문제에 관한 해법)

  • Choi, Hwayong;Ahn, Namsu;Park, Sungsoo
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.4
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    • pp.447-456
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    • 2007
  • The ant colony optimization (ACO) is a probabilistic Meta-heuristic algorithm which has been developed in recent years. Originally ACO was used for solving the well-known Traveling Salesperson Problem. More recently, ACO has been used to solve many difficult problems. In this paper, we develop an ant colony optimization method to solve the maximum independent set problem, which is known to be NP-hard. In this paper, we suggest a new method for local information of ACO. Parameters of the ACO algorithm are tuned by evolutionary operations which have been used in forecasting and time series analysis. To show the performance of the ACO algorithm, the set of instances from discrete mathematics and computer science (DIMACS)benchmark graphs are tested, and computational results are compared with a previously developed ACO algorithm and other heuristic algorithms.

Topological design for packet network with hop-count the minimum degree ordering method (경유교환기 수의 제약을 고려한 패킷 통신망 설계에 관한 연구)

  • 윤문길;주성순;전경표
    • Korean Management Science Review
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    • v.12 no.2
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    • pp.89-103
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    • 1995
  • Traditionally, the scarce and expensive resources in communication networks has been the bandwidth of transmission facilities; accordingly, the techniques used for networking and switching have been chosen so as to optimize the efficient use of that resource. One of them is the packet switching for data communications, which is much different from the circuit switching. It allows multiple users to share the data network facilities and bandwidth, rather than providing specific amounts of dedicated bandwidth to each users. One main challenge therefore has been to design and build cost-effective packet switching networks. In this paper, we develop a mathematical programming medel and heuristic algorithm for designing the packet switching networks with hop-count constraints. To develop an efficient heuristic, we apply the Lagrangian relaxation method. Some valid inequalities, which have been known as the tight constraints, are considered to improve the bound for Lagrangian sub-problem. The computational experiments show that the performance of the proposed heuristic is very satisfactory in both the speed and the quality of design solutions generated.

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