New results in the theory of repeated orders queueing systems

DOI10.2307/3213090zbMath0418.60088OpenAlexW2334950833MaRDI QIDQ3851395

Brian Conolly, Qui Hoon Choo

Publication date: 1979

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213090

zbMATH Keywords

blocked devicecar park fulldevice busy periodwaiting time in orbit

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (24)

An \(M/G/1\) Bernoulli feedback retrial queueing system with negative customers ⋮ A retrial queue with redundancy and unreliable server ⋮ GI/M/1/1 queue with finite retrials and finite orbits ⋮ Algorithmic approximations for the busy period distribution of the \(M/M/c\) retrial queue ⋮ Analysis of an \(M/G/1\) queue with constant repeated attempts and server vacations ⋮ On the steady-state queue size distribution of the discrete-time \(\text{Geo}/G/1\) queue with repeated customers ⋮ A survey on retrial queues ⋮ Discrete-time \(Geo_ 1\), \(Geo_ 2/G/1\) retrial queueing systems with two types of calls ⋮ A retrial queue with structured batch arrivals, priorities and server vacations ⋮ The \(M/M/c\) retrial queue with geometric loss and feedback ⋮ Single-line repeated orders queueing systems¹ ⋮ Generalized birth and death processes with applications to queues with repeated attempts and negative arrivals ⋮ New results in retrial queueing systems with breakdown of the servers ⋮ On the number of customers served in the \(M/G/1\) retrial queue: first moments and maximum entropy approach ⋮ Higher moments of the waiting time distribution in M/G/1 retrial queues ⋮ The M/G/1 retrial queue with Bernoulli schedule ⋮ A survey of retrial queues ⋮ AnM|G|1 Retrial Queue with Nonpersistent Customers and Orbital Search ⋮ A survey of retrial queueing systems ⋮ ALGORITHMIC METHODS FOR SINGLE SERVER SYSTEMS WITH REPEATED ATTEMPTS ⋮ The \(M/G/1\) retrial queue with nonpersistent customers ⋮ A game theoretic model for two types of customers competing for service ⋮ Asymptotic bounds for an optimal state-dependent retrial rate of the \(M/M/1\) queue with returning customers. ⋮ The M/G/1/1 queue with repeated attempts and different types of feedback effects

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