scholarly journals On the maximum queue length in the supermarket model

2006 ◽  
Vol 34 (2) ◽  
pp. 493-527 ◽  
Author(s):  
Malwina J. Luczak ◽  
Colin McDiarmid
Keyword(s):  
Queue Length ◽  
Maximum Queue Length ◽  
Supermarket Model

scholarly journals Pengaruh Pelican Crossing terhadap Panjang Antrian dan Tundaan Kendaraan di Ruas Jalan Asia Afrika Kota Bandung (Hal. 18-27)

2018 ◽  
Vol 4 (2) ◽  
pp. 18
Author(s):  
Muhammad Reza Nugraha ◽  
Dwi Prasetyanto ◽  
Andrean Maulana
Keyword(s):  
Traffic Flow ◽  
Multiple Regression ◽  
Queue Length ◽  
Vehicle Traffic ◽  
Maximum Queue Length

ABSTRAKPelican crossing merupakan jenis penyeberangan yang dioperasikan oleh penyeberang jalan yang bertujuan memberikan keselamatan kepada penyeberang. Tujuan dari penelitian ini adalah menentukan jenis penyeberangan dan mencari pemodelan tundaan dan panjang antrian akibat pelican crossing di jalan Asia Afrika Bandung. Data penelitian ini adalah frekuensi penyeberangan, jumlah penyeberang, jumlah kendaraan terhenti, arus lalu lintas, tundaan dan panjang antrian kendaraan. Analisis penentuan jenis penyeberangan menggunakan perhitungan PV2  dan analisis pemodelan tundaan dan panjang antrian menggunakan regresi linier berganda. Dari perhitungan PV2 didapatkan hasil PV2=2,49*109 yang berarti termasuk kepada jenis penyeberangan pelikan dengan lapak tunggu. Model yang mewakili hubungan antara panjang antrian (Y) dengan jumlah kendaraan terhenti (X1) dan frekuensi penyeberangan (X2) adalah Y=2,201 + 3,203X1 + 3,510X2. Model yang mewakili hubungan antara tundaan  (Y) dengan variabel bebas yang sama adalah Y=0,709 + 2,656X1 + 7,645. Panjang antrian maksimum sebesar 78,072 meter dan tundaan maksimum sebesar 89,826 detik.Kata kunci: pelican crossing, panjang antrian, tundaanABSTRACTPelican crossing is a type of pedestrian cross which is operated by pedestrian with purpose is to give safety for the crosser. The aim of this study are to determine the type of crossing and find the model of delay and queue length because of pelican crossing at Asia Afrika Street Bandung. The data of this study are crossing frequency, amount of crossers, amount of stopped vehicle, traffic flow, delay and queue length vehicle. Analysis for the type of the crossing obtained by calculation of and analysis of model delay and queue length are use multiple regression. The result from the calculation of PV2  is PV2=2,49*109 which is the type of the crossing is pelican with protector. The represent model of relation between the queue length (Y) with amount of stopped vehicle  and crossing frequency (X2) is  Y=2,201 + 3,203X1 + 3,510X2.The represent model of relation between delay (Y) with same dependent variable is Y=0,709 + 2,656X1 + 7,645. The maximum queue length is 78,072 meters and the delay maximum is 89,826 seconds.Keyword: pelican crossing, the queue length, delay

The Trivariate Distribution of the Maximum Queue Length, the Number of Customers Served and the Duration of the Busy Period for the M/G/1 Queueing System

1969 ◽  
Vol 6 (1) ◽  
pp. 154-161 ◽  
Author(s):  
E.G. Enns
Keyword(s):  
Queue Length ◽  
Busy Period ◽  
Queueing System ◽  
Single Server ◽  
List Type ◽  
Type Number ◽  
Distribution Of The Maximum ◽  
Maximum Queue Length ◽  
Number Of Customers

In the study of the busy period for a single server queueing system, three variables that have been investigated individually or at most in pairs are:1.The duration of the busy period.2.The number of customers served during the busy period.3.The maximum number of customers in the queue during the busy period.

scholarly journals Traffic Simulation, Optimization and Evaluation of Adjacent Intersections Based on VISSIM Model

2020 ◽  
Vol 4 (2) ◽  
pp. p53
Author(s):  
Yang Kaixi ◽  
Li Meiqi
Keyword(s):  
Traffic Congestion ◽  
Queue Length ◽  
Simulation Optimization ◽  
Stopping Times ◽  
Signal Timing ◽  
Traffic Situation ◽  
Paper Briefly ◽  
Maximum Queue Length ◽  
Research Objects ◽  
Xi’An City

This paper mainly aims at alleviating the traffic congestion on urban roads and analyzes the traffic at adjacent intersections. First, the paper briefly introduced the VISSIM model, and then selected the traffic situation at the intersection of Weibin road and Fengcheng first road and the intersection of Weibin road and Fengcheng second road in Weiyang district of Xi’an city as research objects to simulate. Fanally, on the premise of basic meet the actual conditions, the optimization of channelization and signal timing at the intersection reduces the maximum queue length and the average stopping times of vehicles, so that the traffic of the section can run efficiently and smoothly, and provides an effective experiment for the optimization of the intersection.

Algorithmic Analysis of the Maximum Queue Length in a Busy Period for theM/M/cRetrial Queue

2007 ◽  
Vol 19 (1) ◽  
pp. 121-126 ◽  
Author(s):  
Jesus R. Artalejo ◽  
Antonis Economou ◽  
M. J. Lopez-Herrero
Keyword(s):  
Queue Length ◽  
Busy Period ◽  
Maximum Queue Length ◽  
Algorithmic Analysis

scholarly journals Offset Optimization Based on Queue Length Constraint for Saturated Arterial Intersections

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Xianmin Song ◽  
Pengfei Tao ◽  
Ligang Chen ◽  
Dianhai Wang
Keyword(s):  
Traffic Control ◽  
Queue Length ◽  
Operating Efficiency ◽  
Simulation Environment ◽  
Saturated Condition ◽  
Maximum Queue Length ◽  
Traffic Environment ◽  
Traffic Control System ◽  
Function Relationship ◽  
Saturated Traffic

Offset optimization is of critical importance to the traffic control system, especially when spillovers appear. In order to avoid vehicle queue spillovers, an arterial offset optimization model was presented in saturated arterial intersections based on minimizing the queue length over the whole duration of the saturated traffic environment. The paper uses the shockwave theory to analyze the queue evolution process of the intersection approach under the saturated traffic environment. Then through establishing and analyzing a function relationship between offset and the maximum queue length per cycle, a mapping model of offset and maximum queue length was established in the saturated condition. The validity and sensitivity of this model were tested by the VISSIM simulation environment. Finally, results showed that when volumes ratios are 0.525–0.6, adjusting offset reasonably under the saturated condition could decrease the queue length and effectively improve the vehicle operating efficiency.

Estimating Maximum Queue Length for Traffic Lane Groups Using Travel Times from Video-Imaging Data

2018 ◽  
Vol 10 (3) ◽  
pp. 123-134 ◽  
Author(s):  
Dongfang Ma ◽  
Xiaoqin Luo ◽  
Sheng Jin ◽  
Weiwei Guo ◽  
Dianhai Wang
Keyword(s):  
Queue Length ◽  
Travel Times ◽  
Imaging Data ◽  
Video Imaging ◽  
Traffic Lane ◽  
Maximum Queue Length

scholarly journals The effect of service time variability on maximum queue lengths in MX/G/1 queues

2005 ◽  
Vol 42 (3) ◽  
pp. 883-891 ◽  
Author(s):  
Ger Koole ◽  
Misja Nuyens ◽  
Rhonda Righter
Keyword(s):  
Service Time ◽  
Queue Length ◽  
Busy Period ◽  
Random Variable ◽  
Buffer Size ◽  
Time Variability ◽  
Finite Buffer ◽  
Surprising Result ◽  
Maximum Queue Length ◽  
The Impact

We study the impact of service time distributions on the distribution of the maximum queue length during a busy period for the MX/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer size for finite-buffer (M/G/1/n) systems. We show the somewhat surprising result that, for three variations of the preemptive last-come–first-served discipline, the maximum queue length during a busy period is smaller when service times are more variable (in the convex sense).

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