Stochastic Models of Traffic Flow Interrupted by Incidents

Baykal‐Gürsoy, Melike; Duan, Zhe; Xu, Huimin

doi:10.3182/20090902-3-us-2007.0107

Cited by 7 publications

(3 citation statements)

References 71 publications

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“…They study a two-state Markov modulated arrival and service queue and a single-server retrial queue and obtain the generating functions for the stationary system size distributions. These types of systems are applicable to traffic problems [2], [3], [4], [5], service systems including call centers [6], [7], internet traffic [8], [9], [10], [11] and wireless systems [12], [13], [14].…”

Section: Introductionmentioning

confidence: 99%

“…Incidents might happen randomly and may affect the whole system instantaneously, slowing every server. Meanwhile, throughout the incident clearance time, the arrival rate to the system might also decrease from its original level [2], [3], [4], [5]. The random environment models are also used in the case of customer abandonment [6], [15], [16] and in processor sharing queues [17], [18].…”

Section: Introductionmentioning

confidence: 99%

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A Note on Infinite-Server Markov Modulated and Single-Server Retrial Queues

Duan

Baykal‐Gürsoy

2014

Asia Pac. J. Oper. Res.

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We reconsider the M/M/∞ queue with two-state Markov modulated arrival and service processes and the single-server retrial queue analyzed in Keilson and Servi [Keilson, J and L Servi (1993). The matrix M/M/∞ system: Retrial models and Markov modulated sources. Advances in Applied Probability, 25, 453–471]. Fuhrmann and Cooper type stochastic decomposition holds for the stationary occupancy distributions in both queues [Keilson, J and L Servi (1993). The matrix M/M/∞ system: Retrial models and Markov modulated sources. Advances in Applied Probability, 25, 453–471; Baykal-Gürsoy, M and W Xiao (2004). Stochastic decomposition in M/M/∞ queues with Markov-modulated service rates. Queueing Systems, 48, 75–88]. The main contribution of the present paper is the derivation of the explicit form of the stationary system size distributions. Numerical examples are presented visually exhibiting the effect of various parameters on the stationary distributions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Note on Infinite-Server Markov Modulated and Single-Server Retrial Queues

Duan

Baykal‐Gürsoy

2014

Asia Pac. J. Oper. Res.

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“…A deep analysis of traffic flows and their dynamic queues usually addressed to the urban congestion and its influence on traffic accidents [9], but no consideration on features of the crossing border flows was found.…”

Section: Introductionmentioning

confidence: 99%

Transit Time Through the Border-Crossing Points: The Case Study of the Eu's Road BCP With Moldavia

Popa¹,

Roșca²,

Rusca³

et al. 2017

Transport Problems

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Summary. This paper provides an overview on the ACROSSEE project (funded by the ERDF under the SEE program), its objectives, general methodology, and the main results. Moreover, the main survey results are presented as they relate to the Romanian road and rail border-crossing points (BCPs) with the Eastern neighbourly country, Moldavia. Results include the actual status of the road BCP, surveys on exiting and entering traffic flows, answers to specific questionnaires of the truck and car drivers in relation with origin-destination of the trips, average waiting time in queue and time required for procedures and controls. Discussion on the mathematical modelling is presented and a provisional simulation model is developed, using ARENA software. The early results are used in order to introduce the need for future assessment of the transit time in a road BCP, with the main purpose: the substantiation of the strategic and operational actions for improvements in trade and transport crossings of the EU borders, considering the need for more vigilant and less time-consuming checks at the outside borders of the EU. TEMPS DE TRANSIT À TRAVERS LES POINTS DE PASSAGE FRONTALIERS: L'ÉTUDE DE CAS POUR LA LIAISON ROUTIÈRE ENTRE ROUMANIE ET MOLDAVIE #11#Résumé. Ce papier donne un aperçu sur le projet ACROSSEE (financé par le FEDER dans le cadre du programme SEE), ses objectifs, la méthodologie générale, et les principaux résultats; en outre,les principaux résultats de l'enquête sont présentés en rapport avec les points routiers et ferroviaires de passage frontaliers (PPF) entre Roumanie et Moldavie. Les résultats comprennent l'état actuel du PPF de la route; enquêtes sur la sortie et l'entrée des flux de trafic; réponses aux questionnaires spécifiques des chauffeurs de camions et de voitures en relation avec l'origine-destination des voyages; le temps moyen d'attente et le temps nécessaire pour accomplir les procédures du contrôle. Discussion sur la modélisation mathématique est présentée et un modèle de simulation prévisionnel est développé, en utilisant le logiciel ARENA. Les premiers résultats sont utilisés afin d'introduire la nécessité d'une évaluation ultérieure du temps de transit par un PPF routier, ayant comme objectif principal la justification des actions stratégiques et opérationnelles pour des améliorations dans le commerce et le transport franchissant les frontières de l'UE, compte tenu de la nécessité d'un contrôle plus vigilant et habituellement long à la frontière extérieure de l'UE. INTRODUCTION# Border crossings play an important role in transport and trade all over the world because of the time spent for different procedures of checking or particular screenings, depending on the geopolitical status of the bordering countries, but also depending on the technological level of development of the facilities and transport infrastructure for those procedures.Border crossing procedures depend on the geopolitical location of the economic territories and, hence, there are very particular conditions for their analysis...

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