# Infinite servers queue systems busy period - a practical case on logistics problems solving

@article{Filipe2015InfiniteSQ, title={Infinite servers queue systems busy period - a practical case on logistics problems solving}, author={Jos{\'e} Ant{\'o}nio Filipe and Manuel Alberto M. Ferreira}, journal={Applied mathematical sciences}, year={2015}, volume={9}, pages={1221-1228} }

In this paper it is exemplified how the busy period of an infinite servers queue is applied to the equipments failures management. With this model it is possible to obtain system performance measures and also to contribute to solve organizing structures’ problems, by minimizing the risks of the organizations inoperative structures, with considerable logistics pernicious consequences for companies and often also for the regions where the companies are inserted.

## 7 Citations

In the Search for the Infinite Servers Queue with Poisson Arrivals Busy Period Distribution Exponential Behavior

- Mathematics
- 2021

This paper purpose is to investigate exponential behavior conditions for the M|G|∞ queue busy period length distribution. It is presented a general theoretical result that is the basis of this work.…

The M|M|∞ queue transient probabilities

- Mathematics
- 2018

In the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the…

LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study

- Mathematics
- 2019

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 determination and being a…

A Two-Stage Queue Model to Optimize Layout of Urban Drainage System considering Extreme Rainstorms

- Engineering
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Extreme rainstorm is a main factor to cause urban floods when urban drainage system cannot discharge stormwater successfully. This paper investigates distribution feature of rainstorms and draining…

Occupation Study of a Surgery Service through a Queues Model

- Medicine
- 2015

A method to study and evaluate the occupation of a Hospital Surgery Service, with some specificity in its activity, is outlined and it is shown that it is simple, practical and useful and allows a practical management of the service occupation.

A Spatial-Spectral Interference Model for Dense Finite-Area 5G mmWave Networks

- Computer Science
- 2017

This paper derives a spatial-spectral interference model for dense finite-area 5G mmWave networks and shows that considering mmWave specifications and also randomness in both spectral and spatial node configurations leads to a noticeably different interference profile.

Interference Analysis for Finite-Area 5-G mmWave Networks Considering Blockage Effect

- Computer ScienceIEEE Access
- 2018

A blockage model considering mmWave specifications and also randomness in both spectral and spatial node configurations leads to a noticeably different interference profile, and a spatial-spectral interference model for dense finite-area 5-G mmWave networks is derived.

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