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  • 學位論文

具第二離開層之最佳化路口車道配置與號誌時制整合式設計

Optimal Integrated Design of Lane Allocation and Signal Timing at Junction with Second Departure Layer

指導教授 : 許添本

摘要


傳統上,車道配置給定後,才進行號誌時制設計。此種設計方法使得號誌時制受到給定之車道配置箝制。近年來,號誌時制設定可以以線道法為基礎進行最佳化。線道法將號誌時制設定與車道配置整合式設計。本文發展前人線道法工作之推廣。前人之限制式描述於第一離開層之容量。本文推廣使得車道設計可向上游延伸到連結與短車道之介面,即第二離開層。不只車道設計更加廣泛,容量描述亦更加精準,靠的是短車道之模式限制。由於模式形成為混合整數數學規劃,本文求解方法為可解數學規劃之運算程序:界線分枝與單形法,由商業軟體進行求解。 此推廣可於模式中考慮短車道以及短車道效應,因而可更準確描述存在短車道時,號誌化路口之容量。提出新的績效指標,稱作J-集合飽和度,其可用來描述於展開處短車道效應之嚴重程度。本文所發展之模式,具備以下特性:在儲車空間為無限長時,與前人成果相同;如有必要,可以產生直進附加車道;在特定情況下,可以產生較短之最佳週期;亦可發現,由本文雙層之容量限制式,有能力描述短車道,並產出一維巨觀之CTM模式可產出之結果。並由多個數值案例測試之結果展示以上之特色。

並列摘要


Traditionally, signal timing is done after the lane allocation. Recently, the lane-based optimisation is applied and considers the comprehensive optimisation of lane allocation and signal timing. In state-of-art lane-based design, only single layer, the entry into junction or exit from junction, is considered. This paper presents a lane-based model with second departing layer for estimating the reserved capacity of a signalised junction more accurately to resolve the overestimation of the capacity of an isolated junction. The two-layers are the stop-line layer and the link-approach interface. Via these layers, short-lane effect (SLE) can be easily modelled. Also, with the two-layer modelling, additional through lane design at junction can be modelled. New measure of effectiveness, the J-set degree of saturation, is proposed to describe the severity of SLE at flares. It can be shown that the problem can be solved by binary-mixed-integer linear programming (BMILP) method and numerical examples are demonstrated. Short cycles can even be generated, if it is better to do so, when the objective function is maximising reserve capacity.

參考文獻


Akcelik, R.(1981). Traffic signals: capacity and timing analysis, Australian Road Research Board.
Allsop, R. E. (1971). "Delay-minimizing settings for fixed-time traffic signals at a single road junction." IMA Journal of Applied Mathematics 8(2): 164.
Allsop, R. E. (1972). "Estimating the traffic capacity of a signalized road junction." Transportation Research/UK/ 6(3).
Chang, T. H. and J. T. Lin (2000). "Optimal signal timing for an oversaturated intersection." Transportation Research Part B: Methodological 34(6): 471-491.
Chang, T. H. and G. Y. Sun (2004). "Modeling and optimization of an oversaturated signalized network." Transportation Research Part B: Methodological 38(8): 687-707.

被引用紀錄


祝之易(2016)。機車停等區設計對路口號誌時制設計影響之研究〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201603336
劉信宏(2013)。混合車流等候結構之號誌分流最佳化模式〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2013.02011

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