The application of Queuing Theory to quantify the relationships between trajectory uncertainties due to aviation operations, precision of navigation and control, and traffic flow efficiency in the National Airspace System is discussed. This work builds on a previous research effort on Markovian queuing network models of the NAS. Two approaches for incorporating the trajectory uncertainties in t...

The concept of reneging has been exploited to a great extent in recent past by the queuing modelers. Reneging leads to loss of potential customers. Keeping into mind this negative impact of reneging, a new queuing model has been developed which deals with retention of reneged customers. In this paper, we have developed an M/M/1/N queuing model which deals with retention of reneged customers. Th...

In this paper, analysis and simulation of Media Gateway Controller (MEGACO) based COPS (Common Open Policy Server) which is a protocol defined in IETF (Internet Engineering Task Force) to transport configuration requests and deliver the policies is presented. For this scenario, three queuing models include M/M/1, M/M/c and M/D/c were applied . Then, some of the key performance benchmarks look l...

In this paper, analysis and simulation of Media Gateway Controller (MEGACO) based COPS (Common Open Policy Server) which is a protocol defined in IETF (Internet Engineering Task Force) to transport configuration requests and deliver the policies is presented. For this scenario, three queuing models include M/M/1, M/M/c and M/D/c were applied . Then, some of the key performance benchmarks look l...

Customer retention is the key issue in the organizations facing the problem of customer impatience. Firms are employing a number o f customer retention strategies to sustain their businesses. An impatient customer (due to reneging) may be convinced to stay in service system for his service by utilizing certain convincing mechanisms. Such customers are termed as retained customers. Queuing with ...

In this paper we study the relations between multiclass BCMP-like service stations and generalized stochastic Petri nets (GSPN). Representing queuing discipline with GSPN models is not easy. We focus on representing multi-class queuing systems with different queuing disciplines by defining appropriate finite GSPN models. Note that queuing discipline in general affects performance measures in mu...

This paper surveys the contributions and applications of queuing theory in the field of healthcare. The paper summarizes a range of queuing theory results in the following areas: waiting time and utilization analysis, system design, and appointment systems. The paper also considers results for systems at different scales, including individual departments (or units), healthcare facilities, and r...

Understanding queuing dynamics of TCP is important for correct router buffer sizing as well as for optimizing the performance of the TCP protocol itself. However, modeling of buffer content dynamics under TCP has received relatively little attention given its importance. Commonly used queuing models are based on overly simplistic assumptions about the packet arrival process. As a consequence, t...

Multi-server queuing analysis can be used to estimate average wait times and queue lengths at toll and parking exit plazas given arrival rates, number of servers, and service rates. These queuing models approximate the performance of queuing systems with multiple queues. While the queuing equations are useful where there are multiple servers, they do not fully reflect the operation of a toll pl...