• Title/Summary/Keyword: NP Hard

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Development of Near Optimal Simulation Technique for the Postal Routing Decision (우편물 운송 경로설정을 위한 준 최적화 시뮬레이션 기술 개발)

  • 김의창
    • The Journal of Information Systems
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    • v.9 no.1
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    • pp.235-255
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    • 2000
  • Facing in very rapidly changing environments via information technologies, we need to study and develop new information technologies in postal delivery service in korea. We study to find the near optimal route for the better postal service between the collection centers. Optimal routing decision for the postal delivery is NP-Hard. The main purpose of this paper is to develop the near optimal simulation technique for the postal routing decision We consider the distance between collection centers, and the quantity of post articles in the collection center to obtain the near optimal route. We use the heuristic algorithm to obtain the near optimal solution for the transportation route of postal articles. Also, we try to show the transportation route by using the map after deciding the near optimal route.

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Tabu Search for Job Shop Scheduling (Job Shop 일정계획을 위한 Tabu Search)

  • Kim, Yeo-Keun;Bae, Sang-Yun;Lee, Deog-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.3
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    • pp.409-428
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    • 1995
  • Job shop scheduling with m different machines and n different jobs is a NP-hard problem of combinatorial optimization. The purpose of the paper is to develop the heuristic method using tabu search for job shop scheduling to minimize makespan or mean flowtime. To apply tabu search to job shop scheduling problem, in this paper we propose the several move methods that employ insert moves in order to generate the neighbor solutions, and present the efficient rescheduling procedure that yields active schedule for a changed operation sequence by a move of operations. We also discuss the tabu search techniques of diversifying the search of solution space as well as the simple tabu search. By experiments, we find the appropriate tabu list size and tabu attributes, and analyze the proposed tabu search techniques with respect to the quality of solutions and the efforts of computation. The experimental results show that the proposed tabu search techniques using long-term memory function have the ability to search a good solution, and are more efficient in the mean flowtime minimization problem than in the makespan minimization.

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Finding Optimal Small Networks by Mathematical Programming Models (수리계획 모형을 이용한 최적의 작은 네트워크 찾기)

  • Choi, Byung-Joo;Lee, Hee-Sang
    • IE interfaces
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    • v.21 no.1
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    • pp.1-7
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    • 2008
  • In this paper we study the Minimum Edge Addition Problem(MEAP) to decrease the diameter of a graph. MEAP can be used for improving the serviceability of telecommunication networks with a minimum investment. MEAP is an NP-hard optimization problem. We present two mathematical programming models : One is a multi-commodity flow formulation and the other is a path partition formulation. We propose a branch-and-price algorithm to solve the path partition formulation to the optimality. We develop a polynomial time column generation sub-routine conserving the mathematical structure of a sub problem for the path partition formulation. Computational experiments show that the path partition formulation is better than the multi-commodity flow formulation. The branch-and-price algorithm can find the optimal solutions for the immediate size graphs within reasonable time.

A Robust Design of Simulated Annealing Approach : Mixed-Model Sequencing Problem (시뮬레이티드 어닐링 알고리듬의 강건설계 : 혼합모델 투입순서 결정문제에 대한 적용)

  • Kim, Ho-Gyun;Paik, Chun-Hyun;Cho, Hyung-Soo
    • IE interfaces
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    • v.15 no.2
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    • pp.189-198
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    • 2002
  • Simulated Annealing(SA) approach has been successfully applied to the combinatorial optimization problems with NP-hard complexity. To apply an SA algorithm to specific problems, generic parameters as well as problem-specific parameters must be determined. To overcome the embedded nature of SA, long computational time, some studies suggested the parameter design methods of determining SA related parameters. In this study, we propose a new parameter design approach based on robust design method. To show the effectiveness of the proposed method, the extensive computation experiments are conducted on the mixed-model sequencing problems.

Improvement of Genetic Operations for Minimum Spanning Tree Application Problems (Minimum Spanning Tree 응용문제에 대한 유전연산의 개선)

  • Koh, Shie-Gheun;Kim, Byung-Nam
    • IE interfaces
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    • v.15 no.3
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    • pp.241-246
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    • 2002
  • Some extensions of minimum spanning tree problem are NP-hard problem in which polynomial-time solutions for them do not exist. Because of their complexity, recently some researcher have used the genetic algorithms to solve them. In genetic algorithm approach the Prufer number is usually used to represent a tree. In this paper we discuss the problem of the Prufer number encoding method and propose an improved genetic operation. Using a numerical comparison we demonstrate the excellence of the proposed method.

A Heuristic for the Design of Distributed Computing Systems (발견적 해법을 이용한 분산 컴퓨터 시스템 설계)

  • 손승현;김재련
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.40
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    • pp.169-178
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    • 1996
  • Geographically dispersed computing system is made of computers interconnected by a telecommunications network. To make the system operated efficiently, system designer must determine the allocation of data files to each node. In designing such distributed computing system, the most important issue is the determination of the numbers and the locations where database files are allocated. This is commonly referred to as the file allocation problem (FAP)[3]. The proposed model is a 0/l integer programming problem minimizing the sum of file storage costs and communication(query and update) costs. File allocation problem belongs to the class of NP-Complete problems. Because of the complexity, it is hard to solve. So, this paper presents an efficient heuristic algorithm to solve the file allocation problem using Tabu Search Technique. By comparing the optimal solutions with the heuristic solutions, it is believed that the proposed heuristic algorithm gives good solutions. Through the experimentation of various starting points and tabu restrictions, this paper presents fast and efficient method to solve the file allocation problem in the distributed computing system.

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A Study on Method for solving Fuzzy Environment-based Job Shop Scheduling Problems (퍼지 환경을 고려한 Job Shop에서의 일정계획 방법에 관한 연구)

  • 홍성일;남현우;박병주
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.41
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    • pp.231-242
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    • 1997
  • This paper describe an approximation method for solving the minimum makespan problem of job shop scheduling with fuzzy processing time. We consider the multi-part production scheduling problem in a job shop scheduling. The job shop scheduling problem is a complex system and a NP-hard problem. The problem is more complex if the processing time is imprecision. The Fuzzy set theory can be useful in modeling and solving scheduling problems with uncertain processing times. Lee-Li fuzzy number comparison method will be used to compare processing times that evaluated under fuzziness. This study propose heuristic algorithm solving the job shop scheduling problem under fuzzy environment. In This study the proposed algorithm is designed to treat opinions of experts, also can be used to solve a job shop environment under the existence of alternate operations. On the basis of the proposed method, an example is presented.

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Time-Slotted Scheduling Schemes for Multi-hop Concurrent Transmission in WPANs with Directional Antenna

  • Bilal, Muhammad;Kang, Moonsoo;Shah, Sayed Chhattan;Kang, Shin-Gak
    • ETRI Journal
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    • v.36 no.3
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    • pp.374-384
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    • 2014
  • To achieve high-speed (giga-bit) connectivity for short-range wireless multimedia applications, the millimeter-wave (mmWave) wireless personal area networks with directional antennas are gaining increased interest. Due to the use of directional antennas and mmWave communications, the probability of non-interfering transmissions increases in a localized region. Network throughput can be increased immensely by the concurrent time allocation of non-interfering transmissions. The problem of finding optimum time allocation for concurrent transmissions is an NP-hard problem. In this paper, we propose two enhanced versions of previously proposed multi-hop concurrent transmission (MHCT) schemes. To increase network capacity, the proposed schemes efficiently make use of the free holes in the time-allocation map of the MHCT scheme; thus, making it more compact.

On Inference of a Chemical Structure from Path Frequency

  • Akutsu, Tatsuya;Fukagawa, Daiji
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2005.09a
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    • pp.96-100
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    • 2005
  • This paper studies the problem of inferring a chemical compound from a feature vector consisting of the numbers of occurrences of vertex-labeled paths, which has potential future applications for designing new chemical compounds based on the kernel methods. This paper shows that the problem for outerplanar graphs of bounded degree can be solved in polynomial time if an alphabet is fixed and the maximum length of paths and the number of edges of each face are bounded by a constant. It is also shown that the problem is strongly NP-hard even for trees of unbounded degree.

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A Scatter Search Algorithm for Network Design with Mean Packet Delay and Node Connectivity Constraints (평균패킷지연시간과 노드연결성 제약된 네트워크 설계를 위한 Scatter Search 알고리즘)

  • Lee, Han-Jin;Yum, Chang-Sun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.1
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    • pp.33-41
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    • 2011
  • This paper considers a topological optimization of a network design with mean packet delay and node connectivity constraints. The objective is to find the topological layout of links, at minimal cost. This Problem is known to be NP-hard. To efficiently solve the problem, a scatter search algorithm is proposed. An illustrative example is used to explain and test the proposal approach. Experimental results show evidence that the proposal approach performs more efficiently for finding a good solution or near optimal solution in comparison with a genetic approach.