• Title/Summary/Keyword: 대기행렬 제어

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Analysis of Discrete-Time Geo/G/1 Queues under Workload Control and Multiple Vacations (일량제어정책과 복수휴가를 갖는 이산시간 Geo/G/1 대기행렬의 분석)

  • Lee, Se Won
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.2
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    • pp.29-39
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    • 2018
  • In this paper, we discuss a discrete-time queueing system with dyadic server control policy that combines workload control and multiple vacations. Customers arrive at the system with Bernoulli arrival process. If there is no customer to serve in the system, an idle single server spends a vacation of discrete random variable V and returns. The server repeats the vacation until the total service time of waiting customers exceeds the predetermined workload threshold D. In this paper, we derived the steady-state workload distribution of a discrete-time queueing system which is operating under a more realistic and flexible server control policy. Mean workload is also derived as a performance measure. The results are basis for the analysis of system performance measures such as queue lengths, waiting time, and sojourn time.

Analysis of a Phased Arrivals Queueing Model with Applications to Telecommunication Network Traffic Control (통신망에서 트래픽 제어를 고려한 단계 도착 대기행렬모형 분석)

  • Park, Ji-Young;Kim, Ji-Seung;Kim, Che-Soong
    • Journal of the Korea Safety Management & Science
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    • v.9 no.5
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    • pp.57-66
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    • 2007
  • 본 논문에서는 통신망의 트래픽 제어를 위한 무한버퍼, 단일 서버와 배치도착과정을 갖는 대기행렬 모형을 고려하였다. 또한 고객 도착 형태와 서비스의 분포는 지수분포를 배치 흐름은 포아송 정상과정 및 배치크기는 기하분포를 따른다고 가정하였다. 서비스를 받기 위해 시스템으로 들어오는 배치의 크기는 시스템의 상태에 따라서 트래픽 제어가 가능하다. 이와 같은 조건에서 시스템에 있는 고객의 수와 배치크기에 대한 결합 확률분포를 분석하였고, 행렬기법을 적용하여 시스템 체재시간에 대한 분석이 수행되었다. 마지막으로 시스템의 주요 성능평가 척도에 대한 효율적인 제어기법에 대한 언급과 수치예제를 통해서 증명하였다.

Traffic Analysis Model for Exit Ramp Congestion at Urban Freeway (고속도로 진출램프 대기행렬 발생 현상 분석모형 개발)

  • Jeon, Jae-Hyeon;Kim, Young-Chan
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.9 no.3
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    • pp.30-40
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    • 2010
  • The freeway congestion is largely generated by a mainline spillover of the exit ramp queue. So it is necessary to study for modeling of the phenomenon and applying the model. In this study, the authors evaluated applicability of the Supply-Demand model, which can express traffic flow for the freeway by applying flexibly supply and demand curves for capacity of the freeway. First the authors proposed methods processing input data required in the Supply-Demand model, such as sending & receiving functions and time-varying capacity constraints for the freeway mainline. After modeling the Supply-Demand application model, the authors applied the model to the site including congested Hongeun exit ramp in Seoul Ring-road, and improved the model by adjusting application techniques and calibrating parameters. The result of the analysis showed that the Supply-Demand model yielded a queuing pattern and queue location similar to them observed in the field data, and applicability of the Supply-Demand model was varified.

Waiting Time and Sojourn Time Analysis of Discrete-time Geo/G/1 Queues under DT-policy (DT-정책 하에서 운영되는 이산시간 Geo/G/1 시스템의 대기시간과 체재시간 분석)

  • Se Won Lee
    • Journal of Korea Society of Industrial Information Systems
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    • v.29 no.2
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    • pp.69-80
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    • 2024
  • In this paper, we studied a discrete-time queuing system that operates under a mixed situation of D-policy and T-policy, one of the representative server control policies in queuing theory. A single server serves customers arriving by Bernoulli arrival process on a first-in, first-out basis(FIFO). If there are no customers to serve in the system, the server goes on vacation and returns, until the total service time (i.e., total amount of workload) of waiting customers exceeds predetermined workload threshold D. The operation of the system covered in this study can be used to model the efficient resource utilization of mobile devices using secondary batteries. In addition, it is significant in that the steady state waiting time and system sojourn time of the queuing system under a flexible mixed control policy were derived within a unified framework.

A Mainline Metering Strategy at Toll Plaza Considering Queue Imbalance Among Lanes (차로간 Queue 불균형을 고려한 Toll Plaza 본선미터링 전략)

  • Jang, Sunghoon;Lee, Yong-Gwan;Kho, Seung-Young;Lee, Chungwon
    • Journal of Korean Society of Transportation
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    • v.33 no.1
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    • pp.1-13
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    • 2015
  • This study aims to develop a mainline metering strategy considering queue imbalance among lanes that can reduce congestion at a toll plaza section by managing queue caused by mainline metering. The suggested strategy considers simultaneously optimizing the number of cars in merging area and managing queue by lane. This study analyzes the effectiveness of the strategy with respect to the average travel time and the occurrence rate of spillback using the PARAMICS. The results show that the suggested strategy has an effect on reducing congestion and improving operation efficiency at toll plaza. In particular, the congestion become more intensified when the length of waiting space is shorter; however, this study shows that the suggested strategy can relieve the congestion in that condition.

Development of Signal Control Strategy for Oversaturated Intersections Using Wayside Video Equipment (노변영상장비를 활용한 과포화 신호제어전략 개발)

  • Lee, Hyun;Kim, Won-Ho
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.12 no.4
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    • pp.11-21
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    • 2013
  • The conventional real-time signal control strategy for oversaturated situation generally requires a number of detectors at the intersection in order to identify the queue length at each approach. Also, existing strategy for the spillback has limited effect due to the temporal spillback control which only reduce the green split at the approach. In this study, a signal control system utilizing the imagery information from ITS roadside equipment is developed for operation of oversaturated intersections. The strategy calculates the saturation ratio based on the queue length extracted from ITS RSE, and designs the signal control variables according to the saturation ratio. The signal control strategy is divided into two phases: oversaturated and supersaturated. In oversaturated conditions, timing plan for main approach is optimized by the queue length. In oversaturated conditions where spillback might occur, the signal timing is designed in order to avoid the spillback. To increase field adaptability, the strategy is designed to adjust the split length, all-red-time, and clearance time, and keep the major signal control variables intact. The result of the simulation shows that in oversaturated conditions, the improvement is similar to the real-time signal control system. In case of, oversaturated conditions, however, the effect of the strategy is superior to that of a real-time system.

A Study of Traffic Flow Characteristics for Estimating Queue-Length in Freeway (고속도로 대기행렬길이 산정모형 개발을 위한 연속류 특성 분석)

  • 노재현;손봉수;도철웅;신치현
    • Journal of Korean Society of Transportation
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    • v.17 no.2
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    • pp.179-191
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    • 1999
  • To device effective freeway traffic flow control strategies and freeway traffic information dissemination strategies, it is very important to estimate real physical queue length on the freeway. Shock wave theory and queueing theory have limitation to be used to estimate the queue length. The primary objective of this study is to develop a reliable method for estimating the physical queue length and level of congestion. Queueing propagation processes were analysed by using such traffic data as main line traffic volume, ramp volume, density. speed, and physical queue length collected by video photographing on Olympic Freeway. As a result of analysis, it has been confirmed that the real queue length can be estimated by using the traffic counts arriving the congested region and passing a bottleneck location. Further more, a reliable method for estimating the level of congestion could be developed on the basis of real-time traffic counts.

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A Real-time Traffic Signal Control Algorithm based on Travel Time and Occupancy Rate (통행시간과 점유율 기반의 실시간 신호운영 알고리즘)

  • Park, Soon-Yong;Jeong, Young-Je
    • The Journal of the Korea Contents Association
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    • v.16 no.8
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    • pp.671-680
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    • 2016
  • This research suggested a new real-time traffic signal control algorithm using fusion data of the travel time and the occupancy rate. This research applied the travel time data of traffic information system to traffic signal operation, and developed the signal control process using the degree of saturation that was estimated from the travel time data. This algorithm estimates a queue length from the travel time based on a deterministic delay model, and includes the process to change from the queue length to the degree of saturation. In addition, this model can calculate the traffic signal timings using fusion data of the travel time and the occupancy rate based on the saturation degree. The micro simulation analysis was conducted for effectiveness evaluation. We checked that the average delay decreased by up to 27 percent. In addition, we checked that this signal control algorithm could respond to a traffic condition of oversaturation and detector breakdown effectively and usefully. This research has important contribution to apply the traffic information system to traffic signal operation sectors.

The Development of Traffic Queue Length Estimation Algorithm Using the Occupancy Rates (점유율을 이용한 대기행렬길이 추정 알고리즘 개발)

  • Kang Jihoon;Oh Young-Tae;Kang Jeung-Sik
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.4 no.2 s.7
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    • pp.13-22
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    • 2005
  • The purpose of this research is how to estimate the traffic queue length in the signal intersection accurately. The current traffic queue length algorithm in COSMOS has been using the congestion diagram which comes from the speed of an average separated vehicle - using average vehicle length and the occupancy time from loop detectors. So some errors were occurred by the speed estimation method using average vehicle lengths. And Operators had been difficult to optimize some variables for measuring the traffic queue length estimation algorithm in COSMOS. Therefore the traffic queue length estimation algorithm on the basis of the relation between distances and occupancy rates from loop detectors was developed in this thesis. This thesis had the advantage of using occupancy rates which came out from loop detectors easily and no need to optimize some variables for the established algorithm in COSMOS. And the results of testing this algorithm in some sites which had installed COSMOS system showed better results than COSMOS system's results. But it was noted that further studies which carry it out in various sites and under various cases are necessary for applying to actual intersections.

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페트리 네트와 퍼지 개념을 이용한 자동 조립 시스템 제어

  • 고인선;전광호
    • ICROS
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    • v.1 no.3
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    • pp.92-100
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    • 1995
  • 본 연구에서는 페트리 네트를 사용하여 모델링된 이산 사건 시스템의 제어시 발생하는 충돌 현상을 해결하기 위하여 퍼지 개념을 사용하였다. 이를 통하여 페트리 네트로 시스템을 제어할 경우 발생하는, 큰 문제점인 외부 시스템과의 데이터 입출력 설정의 어려움을 해결하는 방법을 보였다. 또한 제시된 규칙 행렬의 단순성으로부터 쉽게 충돌 현상하의 우선 순위를 변화시킬 수 있다. 시스템을 제어하는 전문가의 지식이 모호하여 단순히 상수값으로 우선순위를 표현할 수 없는 경우에는 퍼지개념을 이용하여 해결하였다. 이러한 방법들은 소규모의 모터 자동 조립 시스템을 제어하는데 부품의 수량, 작업의 대기 상태를 퍼지화하여 규칙행렬을 만들어 제어신호를 발생시켰다. FMS, CIM을 제어할 때 발생하는 Scheduling 문제도 본 논문의 방법을 사용하면 해결할 수 있다고 본다.

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