• Title/Summary/Keyword: Chinese postman problem

Search Result 9, Processing Time 0.074 seconds

GENIIS, a New Hybrid Algorithm for Solving the Mixed Chinese Postman Problem

  • Choi, Myeong-Gil;Thangi, Nguyen-Manh;Hwang, Won-Joo
    • The Journal of Information Systems
    • /
    • v.17 no.3
    • /
    • pp.39-58
    • /
    • 2008
  • Mixed Chinese Postman Problem (MCPP) is a practical generalization of the classical Chinese Postman Problem (CPP) and it could be applied in many real world. Although MCPP is useful in terms of reality, MCPP has been proved to be a NP-complete problem. To find optimal solutions efficiently in MCPP, we can reduce searching space to be small effective searching space containing optimal solutions. We propose GENIIS methodology, which is a kind of hybrid algorithm combines the approximate algorithms and genetic algorithm. To get good solutions in the effective searching space, GENIIS uses approximate algorithm and genetic algorithm. This paper validates the usefulness of the proposed approach in a simulation. The results of our paper could be utilized to increase the efficiencies of network and transportation in business.

Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights

  • Zhang, Bo;Peng, Jin
    • Industrial Engineering and Management Systems
    • /
    • v.11 no.1
    • /
    • pp.18-25
    • /
    • 2012
  • IChinese postman problem is one of the classical combinatorial optimization problems with many applications. However, in application, some uncertain factors are frequently encountered. This paper employs uncertain programming to deal with Chinese postman problem with uncertain weight Within the framework of uncertainty theory, the concepts of expected shortest route, ${\alpha}$-shortest route, and distribution shortest route are proposed. After that, expected shortest model, and ${\alpha}$-shortest model are constructed. Taking advantage of properties of uncertainty theory, these models can be transf-ormed into their corresponding deterministic forms, which can be solved by classical algorithm..

A Genetic Algorithm for the Chinese Postman Problem on the Mixed Networks (유전자 알고리즘을 이용한 혼합 네트워크에서의 Chinese Postman Problem 해법)

  • Jun Byung Hyun;Kang Myung Ju;Han Chi Geun
    • Journal of the Korea Society of Computer and Information
    • /
    • v.10 no.1 s.33
    • /
    • pp.181-188
    • /
    • 2005
  • Chinese Postman Problem (CPP) is a problem that finds a shortest tour traversing all edges or arcs at least once in a given network. The Chinese Postman Problem on Mixed networks (MCPP) is a Practical generalization of the classical CPP and it has many real-world applications. The MCPP has been shown to be NP-complete. In this paper, we transform a mixed network into a symmetric network using virtual arcs that are shortest paths by Floyd's algorithm. With the transformed network, we propose a Genetic Algorithm (GA) that converges to a near optimal solution quickly by a multi-directional search technique. We study the chromosome structure used in the GA and it consists of a path string and an encoding string. An encoding method, a decoding method, and some genetic operators that are needed when the MCPP is solved using the Proposed GA are studied. . In addition, two scaling methods are used in proposed GA. We compare the performance of the GA with an existing Modified MDXED2 algorithm (Pearn et al. , 1995) In the simulation results, the proposed method is better than the existing methods in case the network has many edges, the Power Law scaling method is better than the Logarithmic scaling method.

  • PDF

An Eulerian Cycle Algorithm for Chinese Postman Problem

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
    • /
    • v.21 no.7
    • /
    • pp.47-52
    • /
    • 2016
  • This paper introduces an algorithm to construct an Eulerian cycle for Chinese postman problem. The Eulerian cycle is formed only when all vertices in the graph have an even degree. Among available algorithms to the Eulerian cycle problem, Edmonds-Johnson's stands out as the most efficient of its kind. This algorithm constructs a complete graph composed of shortest path between odd-degree vertices and derives the Eulerian cycle through minimum-weight complete matching method, thus running in $O({\mid}V{\mid}^3)$. On the contrary, the algorithm proposed in this paper selects minimum weight edge from edges incidental to each vertex and derives the minimum spanning tree (MST) so as to finally obtain the shortest-path edge of odd-degree vertices. The algorithm not only runs in simple linear time complexity $O({\mid}V{\mid}log{\mid}V{\mid})$ but also obtains the optimal Eulerian cycle, as the implementation results on 4 different graphs concur.

A Conformance Test Procedure for the Enterprise JavaBeans (컴포넌트 소프트웨어를 위한 적합성 검증 방법)

  • Joo, Un-Gi;Kim, Joong-Bae
    • IE interfaces
    • /
    • v.17 no.2
    • /
    • pp.149-157
    • /
    • 2004
  • This paper considers a conformity testing problem on EJB(Enterprise JavaBeans). The EJB architecture is a component architecture for the development and deployment of component-based distributed business applications. The objective is to find an optimal test sequence for the conformity test between the EJB specification and an implemented one. For the test sequence, we formulate the problem as a rural Chinese postman tour one and use a linear programming formulation. Based upon the formulations, we suggest a conformance test procedure and show its efficiency by applying the procedure to the CMP(Container- Managed persistency) entity bean of the EJB.

Design and Implementation of Genegtic Algorithm Simulation System for A Path Finding (유전자 알고리즘을 이용한 경로찾기 시뮬레이션 시스템 설계 및 구현)

  • Kang, Myung-Ju;Park, Kwang-Yong
    • Proceedings of the Korean Society of Computer Information Conference
    • /
    • 2010.07a
    • /
    • pp.103-107
    • /
    • 2010
  • 게임이나 네비게이션 시스템, 관광경로 설계에 있어서 경로찾기는 매우 중요한 부분 중의 하나이다. 일반적으로 TSP(Traveling Salesman Problem), RPP(Rural Postman Problem), CPP(Chinese Postman Problem)와 같은 경로찾기 문제들은 일반적인 알고리즘으로 최적해를 구할 수 없다. 문제크기가 커질수록 해집합이 폭발적으로 커짐으로써 전체 해집합을 탐색하는데 많은 비용이 든다. 따라서, 이러한 문제들은 유전알고리즘이나 Simulated Annealing과 같은 휴리스틱 알고리즘을 이용하여 근사최적 경로를 찾는다. 본 논문에서는 이와 같은 경로찾기 문제의 근사 최적해를 구하기 위한 시뮬레이션 시스템을 설계하고 구현하였다. 본 연구에서 구현한 시뮬레이션 시스템에는 유전알고리즘 엔진(GA 엔진)과 사용자 인터페이스를 제공한다. 사용자 인터페이스는 유전알고리즘에 사용될 파라미터를 설정하는 부분이며, GA 엔진은 유전알고리즘의 연산자들을 제공하는 부분이다. 본 논문에서 구현한 시뮬레이션 시스템은 게임과 같은 경로찾기 등에 활용될 수 있다.

  • PDF

Adaptive Application of CPP Algorithm to Test Suite Generation for Protocol Conformance Testing (프로토콜 적합성 시험항목 생성시 CPP 알고리즘의 적응적 적용 방안)

  • Kim, Chul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
    • /
    • v.12 no.6
    • /
    • pp.597-604
    • /
    • 2019
  • In this paper, we propose an improved method on an adaptive application of the CPP(Chinese Postman Problem) algorithm to the protocol test suite generation for conformance testing. Also, we present an example application of this CPP algorithm to B-ISDN Q.2931 call/connection control procedure for the purpose of showing how it can be adapted to generate a test suite for conformance testing of a communication protocol. The proposed method has an advantage of an optimization technique which finds a minimum cost of test suite from a standardized specification, so this optimization technique of the CPP algorithm can be practically applied to a real environment for testing a conformity of a protocol implementation.

On the Generation of Synchronizable Conformance Test Sequences Using the Duplex Digraph and Distinguishing Sequences (이중 방향그래프와 구별시퀀스를 이용한 동기적 적합시험 항목의 생성)

  • Kim, Chul;Song, Joo-Seok
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.22 no.2
    • /
    • pp.241-249
    • /
    • 1997
  • In this paper, a new technique is proposed for generating a minimum-length synchronizable test sequence that can be applied in the distributed test architecture where both external synchtonization and input/output operation costs are taken into consideration. the method defines a set of transformation rules that constructs a duplex digraph from a given finite state machine representation of a protocol specification rules that constructs a duplex digraph from a given finite state machine representation of a protocol specificatio such that a rural chinese postman tour of the duplex digraph can be used to generate a minimum-length synchronizable test sequence using synchronizable distinguishing sequences as the state identification sequence for each state of the given finite state machine. The method provides an elegant solution to the synchronization problem that arises during the application of a predetermined test sequence in some protocol test architectures that utilize remote testers.

  • PDF

An Optimal Route Algorithm for Automated Vehicle in Monitoring Road Infrastructure (도로 인프라 모니터링을 위한 자율주행 차량 최적경로 알고리즘)

  • Kyuok Kim;SunA Cho
    • The Journal of The Korea Institute of Intelligent Transport Systems
    • /
    • v.22 no.1
    • /
    • pp.265-275
    • /
    • 2023
  • The purpose of this paper is to devise an optimal route allocation algorithm for automated vehicle(AV) in monitoring quality of road infrastructure to support the road safety. The tasks of an AV in this paper include visiting node-links at least once during its operation and checking status of road infrastructure, and coming back to its depot.. In selecting optimal route, its priority goal is visiting the node-links with higher risks while reducing costs caused by operation. To deal with the problem, authors devised reward maximizing algorithm for AVs. To check its validity, the authors developed simple toy network that mimic node-link networks and assigned costs and rewards for each node-link. With the toy network, the reward maximizing algorithm worked well as it visited the node-link with higher risks earlier then chinese postman route algorithm (Eiselt, Gendreau, Laporte, 1995). For further research, the reward maximizing algorithm should be tested its validity in a more complex network that mimic the real-life.