Due to the importance of longest path analysis in networks of queues, we develop an analytical method for computing the steady-state distribution function of longest path in acyclic networks of queues. We assume the network consists of a number of queuing systems and each one has either one or infinite servers. The distribution function of service time is assumed to be exponential or Erlang. Fu...

In related research on queuing systems, in order to determine the system state, there is a widespread practice to assume that the system is stable and that distributions of the customer arrival ratio and service ratio are known information. In this study, the queuing system is looked at as a black box without any assumptions on the distribution of the arrival and service ratios and only keeping...

Most of the real life multi server queuing systems have heterogeneous servers which means each service rates are different than each other. Analysis of such queuing system plays important role to improve performance. In this report, I have summarized analysis of heterogeneous multi server queuing system which has a finite and an infinite buffer. Average waiting time and average queue length are...

Queuing systems are an important building block for performance evaluation in various application areas, due to their powerful, yet simple nature. Although it is often possible to perform an analytical evaluation of a queuing model, simulation of queuing systems remains an important technique in the context of performance evaluation. In order to speed up queuing simulation executions, parallel ...

In this paper, we use both fuzzy optimization and normal simulation methods to solve fuzzy web planning model problems, which are queuing system problems for designing web servers. We apply fuzzy probabilities to the queuing system models with customers arrival rate λ and servers’ service rate μ, and then compute fuzzy system performance variables, including Utilization, Number (of requests) in...

Motivated by the problems encountered in the operation of the front end of a grocery store, a queuing model is formulated for a variable channel queuing system. A cost structure is superimposed over the queuing model and after examining the customer jockeying properties of the system, an optimal operating policy is generated. The practical aspects of the generation and implementation of an opti...

A framework for stochastic traffic flow modeling over the U. S. National airspace based on queuing network models is advanced. The proposed framework allows the inclusion of a wide variety of trajectory uncertainties such as delays due to weather deviation, air traffic control actions, en route wind, aircraft performance, navigation system precision and flight control. En route queuing networks...

Queuing theory is the branch of Operations research in applied mathematics and deals with phenomenon of waiting lines. Queuing theory is concerned with the mathematical modeling and analysis of systems which provides service to random demands. In this paper, we have focused the applications of queuing theory in the field of healthcare (hospital) i.e. one of the biological paradigm. The health s...