• Title/Summary/Keyword: Subway Scheduling

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An Integer Programming Approach to the Subway Daily Crew Scheduling Problem (지하철 일간승무계획문제의 정수계획해법)

  • 변종익;이경식;박성수;강성열
    • Journal of the Korean Operations Research and Management Science Society
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    • v.27 no.4
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    • pp.67-86
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    • 2002
  • This paper considers subway crew scheduling problem. Crew scheduling is concerned with finding a minimum number of assignments of crews to a given timetable satisfying various restrictions. Traditionally, crew scheduling problem has been formulated as a set covering or set partitioning problem possessing exponentially many variables, but even the LP relaxation of the problem is hard to solve due to the exponential number of variables. In this paper. we propose two basic techniques that solve the subway crew scheduling problem in a reasonable time, though the optimality of the solution is not guaranteed. We develop an algorithm that solves the column-generation problem in polynomial time. In addition, the integrality of the solution is accomplished by variable-fixing technique. Computational result for a real instance is reported.

Non-periodic Subway Scheduling that Minimizes Operational Cost and Passenger Waiting Time

  • Hong, YunWoo;Chung, Yerim;Min, YunHong
    • Journal of the Korea Society of Computer and Information
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    • v.23 no.8
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    • pp.133-142
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    • 2018
  • Subway metro scheduling is one of the most important problems impacting passenger convenience today. To operate efficiently, the Seoul metro uses regular, periodic schedules for all lanes, both north and southbound. However, many past studies suggest that non-periodic scheduling would better optimize costs. Since the Seoul metro is continuously facing a deficit, adopting a non-periodic schedule may be necessary. Two objectives are presented; the first, to minimize the average passengers' waiting time, and the second, to minimize total costs, the sum of the passenger waiting time, and the operational costs. In this paper, we use passenger smart card data and a precise estimation of transfer times. To find the optimal time-table, a genetic algorithm is used to find the best solution for both objectives. Using Python 3.5 for the analysis, for the first objective, we are able to reduce the average waiting time, even when there are fewer trains. For the second objective, we are able to save about 4.5 thousand USD with six fewer trains.

Database Model of Subway Construction NAS Operating System for Scheduling Management Science (공정관리 과학화를 위한 지하철공사 NAS운영체계 데이터베이스 모델링 구축)

  • Choi, Jaejin;Cho, Byounghoo;Park, Hongtae
    • Journal of the Society of Disaster Information
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    • v.13 no.3
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    • pp.322-331
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    • 2017
  • This study proposed subway construction information classification system based on civil engineering information classification system proposed by Korea Institute of Construction Technology. Also, Based on this criterion, This study established data modeling for NAS operating system Composed of construction information classification system - network - operation and presented an relational database integrated model. The data modeling method proposed in this study can be applied to other civil engineering facilities, so it can be operated as scientific NAS.

An Integer Programming Approach to the Problem of Daily Crew Scheduling (일간승무계획문제의 정수계획해법)

  • 변종익;이경식;박성수
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.613-616
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    • 2000
  • This paper considers the problem of subway crew scheduling. Crew scheduling is concerned with finding a minimum number of assignments of crews to a given timetable satisfying various restrictions. Traditionally, crew scheduling problem has been formulated as a set covering or set partitioning problem possessing exponentially many variables, but even the LP relaxation of the problem is hard to solve due to the exponential number of variables. In this paper, we propose two basic techniques that solve the problem in a reasonable time, though the optimality of the solution is not guaranteed. To reduce the number of variables, we adopt column-generation technique. We could develop an algorithm that solves column-generation problem in polynomial time. In addition, the integrality of the solution is accomplished by variable-fixing technique. Computational results show column-generation makes the problem of treatable size, and variable fixing enables us to solve LP relaxation in shorter time without a considerable increase in the optimal value. Finally, we were able to obtain an integer optimal solution of a real instance within a reasonable time.

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Train Crowdedness Analysis Model for the Seoul Metropolitan Subway : Considering Train Scheduling (열차운행계획을 반영한 수도권 도시철도 열차 혼잡도 분석모형 연구)

  • Lee, Sangjun;Yun, Seongjin;Shin, Seongil
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.21 no.3
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    • pp.1-17
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    • 2022
  • Accurate analysis of the causes of metro rail traffic congestion provides a means of addressing issues arising from metro rail traffic congestion in metropolitan areas. Currently, congestion analysis based on counting, weight detection, CCTVs, and mobile Wi-Fi is limited by poor accuracies or because studies have been restricted to single routes and trains. In this study, a train congestion analysis model was used that includes the transfer and multi-path behavior of metro passengers and train operation plans for metropolitan urban railroads. Analysis accuracy was improved by considering traffic patterns in which passengers must wait for next trains due to overcrowding. The model updates train crowding levels every 10 minutes, provides information to potential passengers, and thus, is expected to increase the social benefits provided by the Seoul metropolitan subway

Candidate Dia Creation Methods for Subway Crew Scheduling (지하철 승무일정계획 수립을 위한 후보 다이아 생성 방안)

  • Kim, Tae-Sung;Park, Ki-Yeok;Park, Tae-Jin;Ryu, Kwang-Ryel
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06c
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    • pp.299-302
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    • 2011
  • 승무일정계획이란 특정 기간 동안 운행할 차량들을 대상으로 각 차량마다 필요로 하는 승무원을 배정하는 계획을 말한다. 최적 승무일정계획의 수립은 일반적으로 제약 조건을 만족하는 모든 종류의 개별 다이아를 생성한 다음 이들을 대상으로 모든 차량을 운행할 수 있는 최적조합을 선정하는 방식으로 이루어지고 있다. 승무일정계획 문제의 난이도는 제약 내의 개별 다이아 생성하는 단계에서 생성되는 후보다이아 집합에 많은 영향을 받는다. 본 논문에서는 승무일정계획 문제의 난이도를 줄일 수 있는 후보다이아 집합을 생성하기 위한 방안 2가지를 제시한다. 실제 현장의 승무일정계획 문제를 대상으로 한 실험 결과, 방안들을 적용한 경우에 기존의 방법으로는 수립하기 어려웠던 계획을 빠른 시간 내에 수립할 수 있음을 확인하였다.

Renovation plans of operation field of Seoul Metro Line 9 (서울 도시철도 9호선의 운영분야 혁신방안)

  • Han, Woo-Jin;Park, Jeong-Soo
    • Proceedings of the KSR Conference
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    • 2008.06a
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    • pp.1441-1446
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    • 2008
  • Seoul Metro Line 9 (SML9) is the first subway line that private capital invests in Korea. SML9 will cross Seoul, linking the Gimpo Airport to the Gangnam district (25.5km) opening in the first half of 2009. SML9 has a new model in Korea constructed by metropolitan government and private company and operated by specialized public transportation service provider. SML9 is confronted with tough environment of stagnated public transportation and strong competitor, Olympic city expressway. And SML9 is under pressure for showing high efficiency as non-governmental organization from both customers and government. Consequently SML9 must lead the maximum efficiency by using its material and human resource. It is necessary that SML9 raise a competitive power and display its ability in active collaboration with relative organization and company. Hereupon, I propose renovation plans from viewpoint of operation field of SML9, (1) efficient train scheduling regime focusing on the combination of express and local train (2) close connection of other mean of transportation and (3) effective connection convention with Airport Railroad (AREX) as the line connected directly.

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Automated Subway Train Scheduling for Satisfying Constraint of Train Input and Output with Multiple Train Basement (복수 차량기지에 대한 열차 입출고 제약을 만족시키는 도시철도 열차 운행계획 자동 수립 방법)

  • Lee, Hoon-Seok;Park, Ki-Yeok;Park, Tae-Jin;Ryu, Kwang-Ryel
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06a
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    • pp.290-293
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    • 2011
  • 현재 전국적으로 도시 철도의 각 호선별 열차 운행은 차량기지에서 출고된 열차가 기점과 종점의 두 지점 사이를 여러 차례 왕복한 후 정해진 차량기지로 입고방식을 취하는 것이 대부분이다. 그리고 매일 열차 운행이 개시되기 전 각 차량기지의 보유 열차 수는 전날과 동일해야 하는데 차량 기지가 복수로 존재할 경우 열차 운행계획 수립 시 어느 기지에서 출고한 어떤 차량이 어느 기지로 입고해야 하는지를 결정하는 문제가 더욱 어려워진다. 승객 수송을 위한 여러 가지 요구조건 또한 모두 만족시키면서 이 입출고 제약도 만족시키는 것은 쉬운 문제가 아니다. 하지만 열차 운행 계획 수립을 자동으로 생성하는 방법에 대한 연구는 매우 부족한 실정이다. 따라서 본 논문에서는 차량기지가 복수로 존재하는 상황에서의 현실 제약을 모두 만족하는 도시철도 운행 계획을 자동으로 생성하는 방법을 제시한다. 본 논문에서 제시하는 방법으로 실험 한 결과 기존의 방법으로 해결이 어려운 차량기지가 복수로 존재하는 상황에서의 현실제약을 모두 만족하는 계획을 빠른 시간 내에 수립 할 수 있음을 확인 하였다.

A Hybrid of Neighborhood Search and Integer Programming for Crew Schedule Optimization (승무일정계획의 최적화를 위한 이웃해 탐색 기법과 정수계획법의 결합)

  • 황준하;류광렬
    • Journal of KIISE:Software and Applications
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    • v.31 no.6
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    • pp.829-839
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    • 2004
  • Methods based on integer programming have been shown to be very effective in solving various crew pairing optimization problems. However, their applicability is limited to problems with linear constraints and objective functions. Also, those methods often require an unacceptable amount of time and/or memory resources given problems of larger scale. Heuristic methods such as neighborhood search, on the other hand, can handle large-scaled problems without too much difficulty and can be applied to problems having any form of objective functions and constraints. However, neighborhood search often gets stuck at local optima when faced with complex search spaces. This paper presents ,i hybrid algorithm of neighborhood search and integer programming, which nicely combines the advantages of both methods. The hybrid algorithm has been successfully tested on a large-scaled crew pairing optimization problem for a real subway line.