Modeling and Simulation of Tandem Tollbooth Operations with Max-Algebra Approach

Hong, Young-Chae; Kim, Dong Kyu; Kho, Seung-Young; Kim, Soo Wook; Yang, Hongsuk

doi:10.1007/978-3-642-10509-8_17

Cited by 6 publications

(2 citation statements)

References 11 publications

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“…These results offer useful insights for infinite-server queues when customers have to depart in the order they arrive, as well as other real world models such as tollbooth tandem queues and gas stations, whose studies have been mainly relying on numerical methods; see, e.g. Hall and Daganzo (1983), Hong et al (2009), Daskin et ale (1976, and Teimoury and Yazdi (2011).…”

Section: Discussionmentioning

confidence: 91%

Tollbooth tandem queues with infinite homogeneous servers

Chao

Ross

2015

J. Appl. Probab.

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In this paper we analyze a tollbooth tandem queueing problem with an infinite number of servers. A customer starts service immediately upon arrival but cannot leave the system before all customers who arrived before himlher have left, i.e. customers depart the system in the same order as they arrive. Distributions of the total number of customers in the system, the number of departure-delayed customers in the system, and the number of customers in service at time t are obtained in closed form. Distributions of the sojourn times and departure delays of customers are also obtained explicitly. Both transient and steady state solutions are derived first for Poisson arrivals, and then extended to cases with batch Poisson and non stationary Poisson arrival processes. Finally, we report several stochastic ordering results on how system performance measures are affected by arrival and service processes.

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Section: Discussionmentioning

confidence: 91%

Tollbooth tandem queues with infinite homogeneous servers

Chao

Ross

2015

J. Appl. Probab.

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“…、波动交通流 [4] 、车辆排队状态 [5] 的基础上，优化特殊交叉口的信号配时，从而提高交叉口的通行能力。然而中国目前 80%以上的城市新建小区都采取了门禁系统管理模式 [6] ，因此还需要考虑门禁控制系统对小区出入口的影响。门禁控制系统的运作方式相当于收费站，在收费站的研究中，高速公路收费站的研究较为完善，高速公路收费站 [7] 、 ETC 收费站 [8] 及收费广场 [9] 的车辆排队仿真模型已建的模拟 [12] ，串联收费站系统中车辆排队过程的模拟 [13] ，城市公交运营系统中车辆调度过程的模拟 [14] 。 …”

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开向城市主干道的小区出入口门禁系统仿真与优化<br>Simulation and Optimization of Vehicle Access Control System for Gated Community Facing Urban Main Road

乾¹

2012

MOS

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Abstract:The characteristics of the vehicle flow on community entrances opening directly to city main roads are analyzed, vehicle queue system model under signal and access controlled is proposed, GPSS programming language is utilized to realize simulation under the different scenarios to evaluate the design of vehicle access control system. A case study of the south gate of South Campus of Sun Yat-sen University is presented; the impacts of position and efficiency of access control is evaluated, and the optimization strategies for different scenarios are proposed. Keywords

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