scholarly journals Mathematical Modeling in Heavy Traffic Queuing Systems

2014 ◽  
Vol 04 (06) ◽  
pp. 340-350 ◽  
Author(s):  
Sulaiman Sani ◽  
Onkabetse A. Daman
Keyword(s):  
Mathematical Modeling ◽  
Heavy Traffic ◽  
Queuing Systems

scholarly journals Transform Methods for Heavy-Traffic Analysis

2020 ◽  
Vol 10 (4) ◽  
pp. 275-309
Author(s):  
Daniela Hurtado-Lange ◽  
Siva Theja Maguluri
Keyword(s):  
Heavy Traffic ◽  
Moment Generating Function ◽  
Traffic Analysis ◽  
Special Focus ◽  
Queuing Systems ◽  
Resource Pooling ◽  
Heavy Traffic Analysis ◽  
Queue Lengths ◽  
New Perspective ◽  
The Moment

The drift method was recently developed to study queuing systems in steady state. It was used successfully to obtain bounds on the moments of the scaled queue lengths that are asymptotically tight in heavy traffic and in a wide variety of systems, including generalized switches, input-queued switches, bandwidth-sharing networks, and so on. In this paper, we develop the use of transform techniques for heavy-traffic analysis, with a special focus on the use of moment-generating functions. This approach simplifies the proofs of the drift method and provides a new perspective on the drift method. We present a general framework and then use the moment-generating function method to obtain the stationary distribution of scaled queue lengths in heavy traffic in queuing systems that satisfy the complete resource pooling condition. In particular, we study load balancing systems and generalized switches under general settings.

scholarly journals Economic and Mathematical Modeling of the Quality of Services Provided by the Urban Passenger Transport Infrastructure Us-ing Nonfinancial Indicators

2018 ◽  
Vol 7 (4.38) ◽  
pp. 452
Author(s):  
Vladimir Sekerin ◽  
Mikhail Dudin ◽  
Dmitri Shevchenko ◽  
Konstantin Zadornov ◽  
Diana Maleeva
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Transport Infrastructure ◽  
Quality Of Services ◽  
Financial Indicators ◽  
Queuing Systems ◽  
Passenger Transport ◽  
Passenger Transportation ◽  
Main Factors

The article reviews the issues of justifying the expediency of using financial indicators to assess the quality of passenger transportation and identification of the main factors that influence the quality of transportation. An economic and mathematical model of the passenger transportation quality using nonfinancial indicators was developed in the study.It was proposed to use a mathematical toolkit of the theory of queuing systems (QS) to study the operation of the route of the urban passenger transport system (UPTS).  

Cerebral Blood Circulation in Premature Infants by Means of Mathematical Modeling

2015 ◽  
Vol 46 (S 01) ◽  
Author(s):  
R. Lampe ◽  
N. Botkin ◽  
V. Turova ◽  
T. Blumenstein ◽  
A. Alves-Pinto
Keyword(s):  
Mathematical Modeling ◽  
Premature Infants ◽  
Blood Circulation ◽  
Cerebral Blood Circulation

Analisis Daya Dukung Tanah Dan Bahan Pondasi Tiang Pancang Pada Pembangunan Jembatan Kab. Jombang

2020 ◽  
Vol 9 (1) ◽  
pp. 32-37
Author(s):  
Ruslan Hidayat ◽  
Saiful Arfaah
Keyword(s):  
Carrying Capacity ◽  
Pile Foundation ◽  
Heavy Traffic ◽  
Traffic Volume ◽  
Material Strength ◽  
Cone Penetrometer ◽  
The Village

One of the most important factors in the structure of the pile foundation in the construction of the bridge is the carrying capacity of the soil so as not to collapse. Construction of a bridge in the village of Klitik in Jombang Regency to be built due to heavy traffic volume. The foundation plan to be used is a pile foundation with a diameter of 50 cm, the problem is what is the value of carrying capacity of soil and material. The equipment used is the Dutch Cone Penetrometer with a capacity of 2.50 tons with an Adhesion Jacket Cone. The detailed specifications of this sondir are as follows: Area conus 10 cm², piston area 10 cm², coat area 100 cm², as for the results obtained The carrying capacity of the soil is 60.00 tons for a diameter of 30 cm, 81,667 tons for a diameter of 35 cm, 106,667 tons for a diameter of 40 cm, 150,000 tons for a diameter of 50 cm for material strength of 54,00 tons for a diameter of 30 cm, 73,500 tons for a diameter of 35 cm, 96,00 tons for a diameter of 40 cm, 166,666 tons for a diameter of 50 cm

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