This paper investigates an M/M/1 constant retrial queue with reserved time and vacations.A new arriving customer will take up the server and accept service immediately if the server is idle.Otherwise,if the server is ...
Emergency department over-crowding has been a growing problem throughout the world.This paper presents a practical approach to estimate the waiting times for multi-class patients and apply the approach to reduce the w...
The decision of traffic congestion degree is an important research topic today.In severe traffic jams,the speed of the car is slow,and the speed estimate is very inaccurate.This paper first uses the data collected by ...
supported by the National Natural Science Foundation of China under Grant No.71661167009;the Fundamental Research Funds for the Central Universities under Grant No.B17JB00280
Online restaurants, which receive online orders and deliver food directly to the customer’s residence, are becoming increasingly popular. To be successful, online restaurants need to provide reliable and prompt deliv...
In this paper, we investigate the flow of customers through queuing systems with randomly varying intensities. The analysis of the Kolmogorov-Chapman system of stationary equations for this model showed that it is not...
This paper analyzes a discrete-time Geoa/Geob/1 queuing system with batch arrivals of fixed size a, and batch services of fixed size b. Both arrivals and services occur randomly following a geometric distribution. The...
This paper presents mathematics models that describe and optimize the passenger flow at the airport security checkpoints by applying the queuing theory. Firstly, a Poisson process is used to estimate the flow of passe...
The work deals with the development of analytical model of multichannel technical queuing system with unreliable servers and input memory where server failure flows and incoming request flows comply with Poissonian la...
In this article, modeling in queuing systems with heavy traffic customer flows is reviewed. Key areas include their limiting distributions, asymptotic behaviors, modeling issues and applications. Heavy traffic flows a...
supported by the 973 Research program entitled "Studies on the perception and law of social collective behaviors under the hybrid information network",which was sponsored by the Ministry of Science and Technology of China
This paper analyzes the queuing problem that was experienced during the Shanghai World Expo of 2010. The queuing problem will be discussed at three levels. The three levels include the physical, psychological, and soc...