Results 41 to 50 of about 796 (198)
MathematicsThis paper analyzes a discrete-time single-server retrial queue with preemptive service, Bernoulli arrivals, and adaptive retrial times, tailored to telecommunications systems. In call centers, the model captures caller retries and priority interruptions,
Iván Atencia-Mckillop +5 more
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M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy
Journal of Applied Mathematics, 2014 We consider an M/M/1 retrial queue with working vacations, vacation interruption, Bernoulli feedback, and N-policy simultaneously. During the working vacation period, customers can be served at a lower rate.
Li Tao, Liyuan Zhang, Shan Gao
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IET Smart Cities, Volume 8, Issue 1, January/December 2026.This paper presents an energy‐conscious, formally verified security protocol for low‐power medical and safety IoT devices operating in regulated environments. The protocol combines lightweight cryptography with formal verification and is validated through simulation and real‐world deployment across heterogeneous platforms.
Sidra Anwar +2 more
wiley +1 more source
MathematicsThis study investigates price decisions in a queue with two servers, where customers exhibit retrial behavior. There is no waiting space. Arrival customers have the option to either join the system or balk; when the two servers are occupied, those who ...
Xiaoli Cai, Miaomiao Yu, Yunling Yang
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper presents a new approach to determine the mean time to system failure (MTSF) and reliability function of k‐out‐of‐n systems with independent and identically distributed components following the inverse Weibull (IW) distribution. The system remains operational when at least k of its n components function properly.
Fatimah Saad Hameed +2 more
wiley +1 more source
AlgorithmsThis research analyzes a multi-server retrial queue with two types of calls: working vacation and working breakdown. The incoming call may enter the retrial queue and attempt to seize a server after a random delay if all the servers are unavailable upon ...
Tzu-Hsin Liu, He-Yao Hsu, Fu-Min Chang
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Ural Mathematical Journal, 2023 This research delves into the dynamics of a retrial queueing system featuring heterogeneous servers with intermittent availability, incorporating feedback and working vacation mechanisms.
Kothandaraman Divya, Kandaiyan Indhira
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, a new generalized cost function construction for a single‐server multiphase queueing system with a Poisson input stream, hypoexponential‐k customer service time, and FIFO discipline is presented. A proposed relationship between service parameters in k phases is based on a geometric progression with rate α, 0 < α < 1.
Stefan Mirchevski +3 more
wiley +1 more source
Diffusion Limit of Multi-Server Retrial Queue with Setup Time
Mathematics, 2020 In the paper, we consider a multi-server retrial queueing system with setup time which is motivated by applications in power-saving data centers with the ON-OFF policy, where an idle server is immediately turned off and an off server is set up upon ...
Anatoly Nazarov +3 more
doaj +1 more source
Asymptotic Diffusion Method for Retrial Queues with State-Dependent Service Rate
Mathematics, 2023 In this paper, we consider a retrial queue with a state-dependent service rate as a mathematical model of a node of FANET communications. We suppose that the arrival process is Poisson, the delay duration is exponentially distributed, the orbit is ...
Anatoly Nazarov +3 more
doaj +1 more source