6 citations · 27 across the 21 of their papers we have counts for
13 papers · 1 filter
Networks of Queues Models with Several Classes of Customers and Exponential Service Times
Manuel Alberto M. Ferreira
The main target of this paper is to present the Markov chain C that, not giving explicitly the queue lengths stationary probabilities, has the necessary information to its determin…
Stochastic Processes in Networks of Queues with Exponential Service Times and only one Class of Customers
Manuel Alberto M. Ferreira
Two networks of queues models, presented initially by Jackson, in the open case, and Gordon and Newell, in the closed case, stochastic processes are presented and studied in some o…
Infinite Servers with Poisson Arrivals Queue Busy Period with PME Distribution
Manuel Alberto M. Ferreira
In this article it is shown that if the busy period of a MGinf queue system is PME distributed, the service time is a random variable with a long tail distribution. The result is o…
The Age or Excess of the MGinf Queue Busy Cycle Mean Value
Manuel Alberto M. Ferreira, Marina Andrade, José António Filipe
In this work, approximate and exact results concerning a performance measure of the MGinf system, the age or the excess of the busy cycle, are presented. It will be seen that it is…
A MGinf Queue Busy Period Distribution Characterizing Parameter
Manuel Alberto M. Ferreira
In this work it is proposed a parameter, η, to characterize the MGinf Queue Busy Period distribution that is a modification of the peakedness proposed in Whitt (1984). As this dist…
A Particular Collection of Service Time Distributions Parameters Study and Impact in some MGinf System Busy Period and Busy Cycle Parameters
Manuel Alberto M. Ferreira
The problems arising when the moments of service time distributions, for which the MGinf queue system busy period and busy cycle become very easy to study, are presented and it is…
Modelling and Differential Costs Evaluation of a Two Echelons Repair System through Infinite Servers Nodes Queuing Networks
Manuel Alberto M. Ferreira
After a short report of results on infinite servers queues systems, focusing on its busy period, using networks of queues with infinite servers nodes a model is constructed to stud…
Replenishment Cost of a Storage System Modelled through a Defective Renewal Equation
Manuel Alberto M. Ferreira
A storage system where a k units stock is replaced instantaneously, when required,is presented in this work. It is also supposed a Poisson demand. It is proved that the storage sys…
A Ratio to Evaluate Harvest Procedures Management in an Economic System where Resources Dynamics is ruled by an Ornstein- Uhlenbeck Process
Manuel Alberto M. Ferreira, José António Filipe
The assessing resources dynamics problem, in the context of an economic system with Gaussian consumption and deterministic productivity, is considered in this paper. Basically it i…
First Order Differential Equations Induced by the Infinite Servers Queue with Poisson Arrivals Transient Behavior Probability Distribution Parameters Study as Time Functions
Manuel Alberto M. Ferreira
The infinite servers queue with Poisson arrivals state transient probabilities, considering the time origin at the beginning of a busy period, mean and variance monotony as time fu…
Laplace Transform Effectiveness in the MGinf Queue Busy Period Probabilistic Study
Manuel Alberto M. Ferreira
The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a probability density functions and distribution functions simpler determi…
Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments
Manuel Alberto M. Ferreira
Jackson queuing networks have a lot of practical applications, mainly in services and technologic devices. For the first case, an example are the healthcare networks and, for the s…
QUEUE, with Poisson arrivals, constant service time and infinite servers, BUSY PERIOD DISTRIBUTION
Manuel Alberto M. Ferreira
The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function…