• Title/Summary/Keyword: Heuristic search

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Perturbation Using Out-of-Kilter Arc of the Asymmetric Traveling Salesman Problem (비대칭 외판원문제에서 Out-of-Kilter호를 이용한 Perturbation)

  • Kwon Sang Ho
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.2
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    • pp.157-167
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    • 2005
  • This paper presents a new perturbation technique for developing efficient iterated local search procedures for the asymmetric traveling salesman problem(ATSP). This perturbation technique uses global information on ATSP instances to speed-up computation and to improve the quality of the tours found by heuristic method. The main idea is to escape from a local optima by introducing perturbations on the out-of-kilter arcs in the problem instance. For a local search heuristic, we use the Kwon which finds optimum or near-optimum solutions by applying the out-of-kilter algorithm to the ATSP. The performance of our algorithm has been tested and compared with known method perturbing on randomly chosen arcs. A number of experiments has been executed both on the well-known TSPLIB instances for which the optimal tour length is known, and on randomly generated Instances. for 27 TSPLIB instances, the presented algorithm has found optimal tours on all instances. And it has effectively found tours near AP lower bound on randomly generated instances.

A heuristic search on noninferior solutions to the Halkin-typed linear quantized optimal control problem with two performance functions

  • Munakata, Tsunehiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.772-776
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    • 1988
  • In quantized control systems, the control values can take only given discrete (e.g. integer) values. In case of dealing with the control problem on the discrete-time, final-stage fixed, quantized control systems with multidimensional performance functions, the first thing, new definition on noninferior solutions in these systems is necessary because of their discreteness in state variables, and the efficient search for those solutions at final-stage is unavoidable for seeking their discrete-time optimal controls to these systems. In this paper, to the quantized control problem given by the formulation of Halkin-typed linear control systems with two performance functions, a new definition on noninferior solutions of this system control problem and a heuristic effective search on these noninferior solutions are stated. By use of these concepts, two definitions on noninferior solutions and the algorithm consisted of 8 steps and attained by geometric approaches are given. And a numerical example using the present algorithm is shown.

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A hybrid tabu-simulated annealing heuristic algorithm for optimum design of steel frames

  • Degertekin, S.O.;Hayalioglu, M.S.;Ulker, M.
    • Steel and Composite Structures
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    • v.8 no.6
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    • pp.475-490
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    • 2008
  • A hybrid tabu-simulated annealing algorithm is proposed for the optimum design of steel frames. The special character of the hybrid algorithm is that it exploits both tabu search and simulated annealing algorithms simultaneously to obtain near optimum. The objective of optimum design problem is to minimize the weight of steel frames under the actual design constraints of AISC-LRFD specification. The performance and reliability of the hybrid algorithm were compared with other algorithms such as tabu search, simulated annealing and genetic algorithm using benchmark examples. The comparisons showed that the hybrid algorithm results in lighter structures for the presented examples.

A novel heuristic search algorithm for optimization with application to structural damage identification

  • Nobahari, Mehdi;Ghasemi, Mohammad Reza;Shabakhty, Naser
    • Smart Structures and Systems
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    • v.19 no.4
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    • pp.449-461
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    • 2017
  • One of the most recent methods of structural damage identification is using the difference between structures responses after and before damage occurrence. To do this one can formulate the damage detection problem as an inverse optimization problem where the extents of damage in each element are considered as the optimizations variables. To optimize the objective function, heuristic methods such as GA, PSO etc. are widely utilized. In this paper, inspired by animals such as bat, dolphin, oilbird, shrew etc. that use echolocation for finding food, a new and efficient method, called Echolocation Search Algorithm (ESA), is proposed to properly identify the site and extent of multiple damage cases in structural systems. Numerical results show that the proposed method can reliably determine the location and severity of multiple damage cases in structural systems.

An Integer Programming-based Local Search for the Set Partitioning Problem

  • Hwang, Junha
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.9
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    • pp.21-29
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    • 2015
  • The set partitioning problem is a well-known NP-hard combinatorial optimization problem, and it is formulated as an integer programming model. This paper proposes an Integer Programming-based Local Search for solving the set partitioning problem. The key point is to solve the set partitioning problem as the set covering problem. First, an initial solution is generated by a simple heuristic for the set covering problem, and then the solution is set as the current solution. Next, the following process is repeated. The original set covering problem is reduced based on the current solution, and the reduced problem is solved by Integer Programming which includes a specific element in the objective function to derive the solution for the set partitioning problem. Experimental results on a set of OR-Library instances show that the proposed algorithm outperforms pure integer programming as well as the existing heuristic algorithms both in solution quality and time.

Service Restoration Considering Load Balancing In Distribution Networks (부하균등화를 고려한 배전계통의 정전복구)

  • 최상열;김종형;신명철
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.9
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    • pp.513-520
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    • 2003
  • Service restoration is an emergency control in distribution constrol centers to restore out-of-service area as soon as possible when a fault occurs in distribution networks. therefore, it requires fast computation time and high quality solutions for load balancing. In this paper. a load balance index and heuristic guided best-first search are proposed for these problem. The proposed algorithm consists of two parts. One is to set up a decision tree to represent the various switching operations available. Another is to identify the most effective the set of switches using proposed search technique and a load balance index. Test results on the KEPCO's 108 bus distribution system show that the performance is efficient and robust.

GA-VNS-HC Approach for Engineering Design Optimization Problems (공학설계 최적화 문제 해결을 위한 GA-VNS-HC 접근법)

  • Yun, YoungSu
    • Journal of Korea Society of Industrial Information Systems
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    • v.27 no.1
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    • pp.37-48
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    • 2022
  • In this study, a hybrid meta-heuristic approach is proposed for solving engineering design optimization problems. Various approaches in many literatures have been proposed to solve engineering optimization problems with various types of decision variables and complex constraints. Unfortunately, however, their efficiencies for locating optimal solution do not be highly improved. Therefore, we propose a hybrid meta-heuristic approach for improving their weaknesses. the proposed GA-VNS-HC approach is combining genetic algorithm (GA) for global search with variable neighborhood search (VNS) and hill climbing (HC) for local search. In case study, various types of engineering design optimization problems are used for proving the efficiency of the proposed GA-VNS-HC approach

The Bisection Seed Detection Heuristic for Solving the Capacitated Vehicle Routing Problem (한정 용량 차량 경로 탐색 문제에서 이분 시드 검출 법에 의한 발견적 해법)

  • Ko, Jun-Taek;Yu, Young-Hoon;Jo, Geun-Sik
    • Journal of Intelligence and Information Systems
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    • v.15 no.1
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    • pp.1-14
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    • 2009
  • The Capacitated Vehicle Routing Problem (CVRP) is the problem that the vehicles stationed at central depot are to be optimally routed to supply customers with demands, satisfying vehicle capacity constraints. The CVRP is the NP-hard as it is a natural generalization of the Traveling Salesman Problem (TSP). In this article, we propose the heuristic algorithm, called the bisection seed detection method, to solve the CVRP. The algorithm is composed of 3-phases. In the first phase, we work out the initial cluster using the improved sweep algorithm. In the next phase, we choose a seed node in each initial cluster by using the bisection seed detection method, and we compose the rout with the nearest node from each seed. At this phase, we compute the regret value to decide the list of priorities for the node assignment. In the final phase, we improve the route result by using the tabu search and exchange algorithm. We compared our heuristic with different heuristics such as the Clark-Wright heuristic and the genetic algorithm. The result of proposed heuristic show that our algorithm can get the nearest optimal value within the shortest execution time comparatively.

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Identification of First-order Plus Dead Time Model from Step Response Using HS Algorithm (HS 알고리즘을 이용한 계단응답으로부터 FOPDT 모델 인식)

  • Lee, Tae-Bong
    • Journal of Advanced Navigation Technology
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    • v.19 no.6
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    • pp.636-642
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    • 2015
  • This paper presents an application of heuristic harmony search (HS) optimization algorithm for the identification of linear continuous time-delay system from step response. Identification model is first-order plus dead time (FOPDT), which describes a linear monotonic process quite well in most chemical processes and HAVC process and is often sufficient for PID controller tuning. This recently developed HS algorithm is conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. The effectiveness of the identification method has been demonstrated through a number of simulation examples.

A Study on the Performance Improvement of Harmony Search Optimization Algorithm (HS 최적화 알고리즘 성능 향상에 관한 연구)

  • Lee, Tae-Bong
    • Journal of Advanced Navigation Technology
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    • v.25 no.5
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    • pp.403-408
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    • 2021
  • Harmony Search(HS) algorithm is an emerging meta-heuristic optimization algorithm, which is inspired by the music improvisation process and has been successfully applied to solve different optimization problems. In order to further improve the performance of HS, this paper proposes a new method which is called Fast Harmony Search(FSH) algorithm. For the purpose, this paper suggest a method to unify two independent improvisation processes by newly defining the boundary value of a object variable using HM. As the result, the process time of the algorithm is shorten and explicit decision of bandwidth is no more needed. Furthermore, exploitative power of random selection is improved. The numerical results reveal that the proposed algorithm can find better solutions and is faster when compared to the conventional HS.