Queuing models are important tools for studying the performance of complex systems, but despite the substantial queuing theory literature, it is often necessary to use approximations in the case the system is nonmarkovian. Phase type distribution is by now indispensable tool in creation of queuing system models. The purpose of this paper is to suggest a method and software for evaluating queuin...

to improve the efficiency of hospital, reduce patients’ waiting time, as well as meet patients’ satisfaction, the optimization of patients’ queuing system which is based on the knowledge of queuing theory has the practical significance in the use of medical equipments. Based on the relevant data of the usage of Bultrasound in a hospital, the distribution model of queuing theory has been analyze...

There are many situations in daily life when a queue is formed. Queuing theory is the mathematical study of waiting lines and it is very useful for analyzing the procedure of queuing of daily life of human being. Queuing theory applies not only in day to day life but also in sequence of computer programming, networks, medical field, banking sectors etc. In this paper, we analyze the basic featu...

Standard queuing theory describes only the long-term behavior of a queue. The passenger arrivals at the airport immigration fluctuate significantly during the day. The standard queuing theory cannot be used in this case for predicting the queue lengths. Instead time-dependent queuing approaches need to be applied. The queues and arrivals at the incoming immigration of Narita airport were observ...

Probabilistic measures of uncertainty have been obtained as functions of time and birth and death rates in a queuing process. The variation of different entropy measures has been studied in steady and non-steady processes of queuing theory. Keywords—Uncertainty, steady state, non-steady state, traffic intensity, monotonocity

To model the percentage change of blood oxygenation leveldependent (BOLD) signal and reaction time in a dual task, we propose a new mathematical modeling approach—a queuing network approach based on queuing network theory of human performance (Liu, 1996, 1997) and current discoveries in neuroimage studies. This approach includes a queuing network architecture representing the information proces...

In this paper we consider a queuing system in which the service times of customers are independent and identically distributed random variables, the arrival process is stationary and has the property of orderliness, and the queue discipline is arbitrary. For this queuing system we obtain the steady state second moment of the queue size in terms of the stationary waiting time distribution of a s...