Results 1 to 10 of about 11,521 (168)

Some results on Laplace-Stieltjes transform

Kuwait Journal of Science, 2013
Two general theorems on Laplace-Stieltjes transform are established. One theorem is a generalized convolution theorem, while the second is a generalized Parseval theorem for a operator with kernel k(s,t).
L. GALU, H. PRADO, S. KALLA
doaj   +1 more source

Analysis of a Semi-Markov Cold Standby System with Two Heterogeneous Components Considering Multiple Failure Modes

Axioms
In this paper, a cold standby repairable system comprising two heterogeneous components, each characterized by multiple types of mutually independent failure modes, is investigated.
Ping Zhang, Jinsong Hu, Wenqing Wu
doaj   +1 more source

Comprehensive Downtime Prediction in Next-Generation Internet

International Islamic University Malaysia Engineering Journal, 2012
The benchmark for the reliability quality of networks depends mainly on the accuracy and comprehensiveness of the reliability parameters. Downtime prediction of a communication system is crucial for the quality of service (QoS) offered to the end-user ...
W. F. Al-Khateeb, S. Al-Irhayim, and K. A. Al-Khateeb
doaj   +1 more source

A Note on the Waiting-Time Distribution in an Infinite-Buffer GI[X]/C-MSP/1 Queueing System

Journal of Probability and Statistics, 2018
This paper deals with a batch arrival infinite-buffer single server queue. The interbatch arrival times are generally distributed and arrivals are occurring in batches of random size.
A. D. Banik, M. L. Chaudhry, James J. Kim   +2 more
doaj   +1 more source

A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption

Operations Research Perspectives, 2015
We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer’s sojourn time in their model although both the queue length and the busy cycle are seriously analyzed.
Doo Ho Lee, Bo Keun Kim
doaj   +1 more source

A numerically stable formula for the conditional distribution of the residual service time in the Mn/PH/1 queue

Results in Applied Mathematics
In this paper, we consider an Mn/PH/1 queue, where arriving customers decide whether to join the queue or not join based on the queue length at arrival instants.
Yutaka Sakuma, Yan Linn Aung
doaj   +1 more source

Analysis of an MMAP/PH1, PH2/N/∞ queueing system operating in a random environment

International Journal of Applied Mathematics and Computer Science, 2014
A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process.
Kim Chesoong, Dudin Alexander, Dudin Sergey, Dudina Olga   +3 more
doaj   +1 more source

A Comparative View of Becker, Lomnitz, and Lambert Linear Viscoelastic Models

Mathematics
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new analytical expressions for the relaxation spectrum in ...
Juan Luis González-Santander, Francesco Mainardi   +1 more
doaj   +1 more source

STATIONARY CHARACTERISTICS OF UNRELIABLE QUEUEING SYSTEM WITH BATCH MARKOVIAN ARRIVAL PROCESS AND RESERVE SERVER

Informatika, 2016
In the paper, a queueing system with unreliable server and so called «cold» redundancy is analyzed. The system consists of an infinite buffer, the main unreliable server and the reliable reserve server.
V. I. Klimenok
doaj  

Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts. [PDF]

Methodol Comput Appl Probab, 2022
Geiger DJ, Adekpedjou A.
europepmc   +1 more source