• Title/Summary/Keyword: 다항적-시간

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A LOGIT based Traffic Assignment Model Considering Passenger Transfer on Railway Network (철도 네트워크에서 환승수요를 고려한 다항로짓 기반 통행배정 모형 연구)

  • Park, Bum-Hwan;Rho, Hag-Lae;Cheon, Seung-Hoon;Lee, Jin-Sun
    • Journal of the Korean Society for Railway
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    • v.14 no.3
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    • pp.276-284
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    • 2011
  • In our study, we present a new LOGIT-based traffic assignment model applicable to intercity railway network. Most traffic assignment models have been developed for public transit assignment in urban area, so that they are known to produce unrealistic results in intercity railway demand analysis. Especially, since the introduction of KTX, more passengers are using a route including KTX service and the schedule becomes more compatible with transfer. Our study presents a new LOGIT-based traffic assignment model considering passenger transfer. To do so, we suggest a new route search algorithm to find K paths with non increasing order in the utility value.

An Exact Division Algorithm for Change-Making Problem (거스름돈 만들기 문제의 정확한 나눗셈 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.3
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    • pp.185-191
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    • 2022
  • This paper proposed a division algorithm of performance complexity $O{\frac{n(n+1)}{2}}$ for a change-making problem(CMP) in which polynomial time algorithms are not known as NP-hard problem. CMP seeks to minimize the sum of the xj number of coins exchanged when a given amount of money C is exchanged for cj,j=1,2,⋯,n coins. Known polynomial algorithms for CMPs are greedy algorithms(GA), divide-and-conquer (DC), and dynamic programming(DP). The optimal solution can be obtained by DP of O(nC), and in general, when given C>2n, the performance complexity tends to increase exponentially, so it cannot be called a polynomial algorithm. This paper proposes a simple algorithm that calculates quotient by dividing upper triangular matrices and main diagonal for k×n matrices in which only j columns are placed in descending order of cj of n for cj ≤ C and i rows are placed k excluding all the dividers in cj. The application of the proposed algorithm to 39 benchmarking experimental data of various types showed that the optimal solution could be obtained quickly and accurately with only a calculator.

Sudoku Algorithm (스도쿠 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.1
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    • pp.207-215
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    • 2015
  • This paper proposes a solution-yielding linear time algorithm to NP-complete Sudoku, to which no polynomial time algorithm has been proposed. The proposed algorithm is performed on blocks in the descending order of the number of clues they contain. It firstly determines all numbers that could possibly occur in the blank rows and columns of each block. By deriving an intersecting value of corresponding rows and columns, it assigns the final number for each blank. When tested on the traditional $9{\times}9$ Sudoku, the proposed algorithm has succeeded in obtaining the solution through performance of 9 times, the exact number of the blocks. Test results on modified Jigsaw Sudoku (9 blocks) and Hypersudoku (13 blocks) also show its success in deriving the solutions by execuring 9 and 13 times respectively. Accordingly, this paper proves that the Sudoku problem is in fact P-problem.

A Study on the Parking Place Choice Behaviors Using Stated Preference Data (the case of shopping trips) (SP Data를 이용한 주차장선택행태 분석에 관한 연구 (쇼핑통행을 중심으로))

  • 정성용;윤용득;배영석;이재륜
    • Journal of Korean Society of Transportation
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    • v.19 no.3
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    • pp.19-32
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    • 2001
  • A parking facility choice model. which can be applied to analyze of the driver's parking behavioral changes in response to the local government's parking policy changes and to predict parking demand by the facility types, is developed. Under the context of the stated preference discrete choice model, socioeconomic variables and parking alternative characteristic variables are introduced as explanatory variables. A parking facility choice model for the shopping trip purpose is derived using multinomial logit model and nested logit model and the stated preference data collected in Taegu metropolitan area. The result shows that the sign of all the estimated parameters are logically consistent and the model's goodness of fit is reasonably good. As a result of the elasticity analysis of the model, the elasticity of parking cost is highest, and the elasticity of walking distance between parking place and the destination is higher than parking place searching and ingress time. This means that the parking places are supplied around the destination in the form of small-size parking place. The findings in this study is expected to provide a fundamental data for various short-term parking policy analyses and for parking facility's demand estimations.

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A Polynomial-Time Algorithm for Linear Cutting Stock Problem (선형 재료절단 문제의 다항시간 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.7
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    • pp.149-155
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    • 2013
  • Commonly, one seeks a particular pattern suitable for stock cutting and the number of such patterns through linear programming. However, since the number of the patterns increases exponentially, it is nearly impossible to predetermine all the existing patterns beforehand. This paper thus proposes an algorithm whereby one could accurately predetermine the number of existing patterns by applying Suliman's feasible pattern method. Additionally, this paper suggests a methodology by which one may obtain exact polynomial-time solutions for feasible patterns without applying linear programming or approximate algorithm. The suggested methodology categorizes the feasible patterns by whether the frequency of first occurrence of all the demands is distributed in 0 loss or in various losses. When applied to 2 data sets, the proposes algorithm is found to be successful in obtaining the optimal solutions.

Notes On Inverse Interval Graph Coloring Problems

  • Chung, Yerim;Kim, Hak-Jin
    • Journal of the Korea Society of Computer and Information
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    • v.24 no.10
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    • pp.57-64
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    • 2019
  • In this paper, we study a polynomially solvable case of the inverse interval graph coloring problem. Given an interval graph associated with a specific interval system, the inverse interval graph coloring problem is defined with the assumption that there is no proper K-coloring for the given interval graph, where K is a fixed integer. The problem is to modify the system of intervals associated with the given interval graph by shifting some of the intervals in such a way that the resulting interval graph becomes K-colorable and the total modification is minimum with respect to a certain norm. In this paper, we focus on the case K = 1 where all intervals associated with the interval graph have length 1 or 2, and interval displacement is only allowed to the righthand side with respect to its original position. To solve this problem in polynomial time, we propose a two-phase algorithm which consists of the sorting and First Fit procedure.

Short-Distance Gate Subtree Algorithm for Capacitated Minimum Spanning Tree Problem (능력한정 최소신장트리 문제의 근거리 게이트 서브트리 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.21 no.6
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    • pp.33-41
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    • 2021
  • This paper proposes heuristic greedy algorithm that can be find the solution within polynomial time with solution finding rule for the capacitated minimum spanning tree(CMST) problem, known as NP-hard. The CMST problem can be solved by computer-aided meta-heuristic because of the Esau-Williams heuristic polynomial time algorithm has a poor performance. Nevertheless the meta-heuristic methods has a limit performance that can't find optimal solution. This paper suggests visual by handed solution-finding rule for CMST. The proposed algorithm firstly construct MST, and initial feasible solution of CMST from MST, then optimizes the CMST with the subtree gates more adjacent to root node. As a result of total 30 cases of OR-LIB 10 data, Q=3,5,10, the proposed algorithm gets the best performance.

A New Universally Verifiable and Receipt-free Electronic Voting Scheme Through Public Channel by Using Smartcard (스마트카드를 이용하여 공개채널로 매표방지와 전체검증을 제공하는 전자선거기법)

  • 김형석;김상진;오희국
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 2003.12a
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    • pp.605-610
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    • 2003
  • 선거를 전자적으로 구성하기 위해서는 비밀성(privacy), 선거권(eligibility) 등과 함께 전체검증(universal verifiability)과 매표방지(receipt-freeness) 속성을 반드시 제공해야 한다. 지금까지 제안된 전자선거 기법은 매표방지와 전체검증을 제공하기 위해 도청 불가능한 채널이라는 물리적인 가정 하에 이루어지거나 하드웨어 장치를 이용하더라도 장치에 대한 신뢰가 가정되었다. 본 논문에서는 믹스 서버나 랜덤마이저의 역할을 스마트카드와 같은 안전한 하드웨어 장치가 하므로 물리적 가정 없이 효율적으로 구현한다. 제안한 시스템은 표를 섞는 과정에서 permutation matrix를 사용하여 증명하므로 증명의 회수가 적고 간단하여 효율적이다. 또한, 지금까지 제안된 대부분의 선거 기법은 ElGamal 암호시스템의 준동형 특성을 이용하여 모든 표를 결합한 다음 해독하여 집계를 계산하는데 이는 이산대수 문제를 효율적으로 해결할 수 있어야 가능했다. 이 논문에서는 ElGamal 암호시스템과 다차잉여 기반 암호알고리즘인 Naccacne 암호알고리즘을 결합하여 표를 인코딩 함으로써 유권자의 수가 많은 선거에 대해서도 다항 시간 내에 집계가 가능하다.

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The Value of Time in Intercity Freight Transportation (지역간 화물운송의 시간가치 추정)

  • 최창호;임강원
    • Journal of Korean Society of Transportation
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    • v.17 no.5
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    • pp.43-55
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    • 1999
  • The value of time in freight transportation describes the importance of goods during transport and shows the direction of efficient logistic management having inventory cost in transporting The value of time differs from class to class in freight transportation. It is due to the differences of shipper's willingness to Pay for time saving. In this research the value of time in intercity freight transportation of manufacturers in Korea was estimated as follows: first, the Perception factors which were the important criteria of shippers for choosing truck were sampled. second, the shippers were classified into three homogeneous classes. third, the value of time of each class was estimated by using multinominal logit model. The results of this research showed that the value of time in freight transportation was different from every class, that the shipper had to Pay 1,680 won for saving one hour Per each shipment, and that the inventory cost in transporting occupied 9.54% in the mean freight Price.

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A Multicast Routing Algorithm with Node Degree Constraints (노드연결도제한이 있는 멀티캐스트 라우팅 알고리즘)

  • Lee, Sung-Geun;Han, Chi-Geun
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05a
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    • pp.363-366
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    • 2003
  • 인터넷 인구의 증가와 인프라의 발전은 새로운 인터넷 서비스들을 요구하게 되었고, 이러한 서비스의 대부분은 멀티캐스팅을 사용하고 데이터는 용량이 많은 멀티미디어 데이터들을 전송하는 서비스들이다. 멀티캐스팅은 데이터를 여러 목적지로 보내기 때문에 데이타의 복사가 필수적이어서 노드의 부하 가 많아지며, 데이터의 용량이 클 경우 노드의 부하는 더욱 커지게 된다. 이러한 이유로 멀티캐스트 라우팅 알고리즘의 연구가 필요하게 되었다. 노드에서 데이터를 복사하는데 노드의 용량 때문에 발생하는 노드연결도제한은 멀티캐스트 라우팅 연구에 고려하여야 할 기본적인 요소이다. 연결도제한을 고려한 멀티캐스트 라우팅 알고리즘이 현실적으로 의미를 갖고 있으나 이에 대한 연구는 제한이 없는 멀티캐스팅 알고리즘을 단순히 수정하여 제공하는 것뿐이었다. 따라서 본 연구에서는 노드연결도제한을 고려한 효율적인 알고리즘을 개발하기 위해 유전자 알고리즘 (Genetic Algorithm)과 개미 알고리즘 (Ant Algorithm)을 비교하고자 한다. 이 문제는 NP-hard 에 속하는 문제로 다항시간에 문제를 해결할 수 없음이 밝혀져 있다.

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