Numerical investigation of a multiserver retrial model

DOI10.1007/BF01158473zbMath0711.60094OpenAlexW2036655870MaRDI QIDQ923526

Publication date: 1990

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158473

zbMATH Keywords

heavy traffic low intensity of repetition matrix-geometric stationary distribution multi-channel retrial queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items

Markovian retrial queues with two way communication ⋮ Maximum queue lengths during a fixed time interval in the \(M/M/c\) retrial queue ⋮ Stochastic modeling on M/M/1/N inventory system with queue-dependent service rate and retrial facility ⋮ A production inventory model with deteriorating items and retrial demands ⋮ The Busy Period and the Waiting Time Analysis of a MAP/M/c Queue with Finite Retrial Group ⋮ A matrix geometric approach to the M/M/1 two-phase multi optional retrial queue with Bernoulli feedback, impatient customers and a server subject to breakdown and repair ⋮ The MAP/(PH/PH)/1 queue with self-generation of priorities and non-preemptive service ⋮ Algorithmic approximations for the busy period distribution of the \(M/M/c\) retrial queue ⋮ Quasi-geometric and Gamma Approximation for Retrial Queueing Systems ⋮ DIMENSION REDUCTION FOR APPROXIMATION OF ADVANCED RETRIAL QUEUES : TUTORIAL AND REVIEW ⋮ An improved truncation technique to analyze a \(Geo/PH/1\) retrial queue with impatient customers ⋮ A queueing system with returning customers and waiting line ⋮ An algorithmic analysis of the \(BMAP/MSP/1\) generalized processor-sharing queue ⋮ Unnamed Item ⋮ Approximations of retrial queue with limited number of retrials ⋮ Asymptotic analysis for Markovian queues with two types of nonpersistent retrial customers ⋮ On a retrial production inventory system with vacation and multiple servers ⋮ On the efficient solution of a multiserver system with two reattempt orbits ⋮ Algorithms for Queueing Systems with Reneging and Priorities Modeled as Quasi-Birth-Death Processes ⋮ Weak stability bounds for approximations of invariant measures with applications to queueing ⋮ Multi-server retrial queue with negative customers and disasters ⋮ A retrial queue with server interruptions, resumption and restart of service ⋮ An inventory model with server interruptions and retrials ⋮ Efficient method to approximately solve retrial systems with impatience ⋮ Retention of impatient customers in a multi-server Markovian queueing system with optional service and working vacations ⋮ Algorithmic approach to Markovian multi-server retrial queues with vacations ⋮ Tail asymptotics of the queue size distribution in the \(M/M/m\) retrial queue ⋮ A matrix continued fraction approach to multiserver retrial queues ⋮ Monotonicity properties in various retrial queues and their applications ⋮ Analysis of a retrial queuing model with MAP arrivals and two types of customers. ⋮ Computing conditional sojourn time of a randomly chosen tagged customer in a BMAP/MSP/\(1\) queue under random order service discipline ⋮ Discrete-time \(\mathrm{GI}/\mathrm{G}/1\) retrial queues with time-controlled vacation policies ⋮ A Retrial Queueing System with Orbital Search of Customers Lost from an Offer Zone ⋮ Retrial Queueing System of MMPP/M/2 Type with Impatient Calls in the Orbit ⋮ \(\text{MAP}_1, \text{MAP}_2/\text{M/}c\) retrial queue with guard channels and its application to cellular networks ⋮ On the multi-server retrial queue with geometric loss and feedback: computational algorithm and parameter optimization ⋮ Asymptotic analysis of an retrial queueing system \(M|M|1\) with collisions and impatient calls ⋮ Analysis of a MAP/PH(1), PH(2)/2 production inventory system under the Bernoulli vacation scheme ⋮ Phase-type models for cellular networks supporting voice, video and data traffic ⋮ Multi-server retrial queue with second optional service: algorithmic computation and optimisation ⋮ A survey of retrial queueing systems ⋮ Phase-type arrivals and impatient customers in multiserver queue with multiple working vacations ⋮ A Multi-Server Retrial Queueing Model with Poisson Signals ⋮ Generalized truncated methods for an efficient solution of retrial systems ⋮ Performance analysis of the \(M/G/c\) retrial queueing systems using the theory of Markov regenerative stochastic Petri nets. ⋮ A heuristic algorithm for the optimization of a retrial system with Bernoulli vacation ⋮ Comparison of inventory systems with service, positive lead-time, loss, and retrial of customers ⋮ APPROXIMATION OF PH/PH/c RETRIAL QUEUE WITH PH-RETRIAL TIME ⋮ \(M/M/s\) queue with impatient customers and retrials ⋮ On multiserver feedback retrial queue with finite buffer ⋮ Algorithmic analysis of the \(Geo/Geo/c\) retrial queue ⋮ Convergence of the stationary distributions of \(M/M/s/K\) retrial queue as \(K\) tends to infinity ⋮ Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes ⋮ An efficient method to compute the rate matrix for retrial queues with large number of servers ⋮ Approximation of multiserver retrial queues by means of generalized truncated models ⋮ Analyzing retrial queues by censoring ⋮ A \(MAP/PH/1\) perishable inventory system with dependent retrial loss ⋮ Retrial Queue M/G/1 with Impatient Calls Under Heavy Load Condition ⋮ Analysis of multiserver queues with constant retrial rate ⋮ A stochastic inventory system with two modes of service and retrial of customers ⋮ Analysis of multiserver retrial queueing system: a martingale approach and an algorithm of solution ⋮ Discrete-time analysis of the \(GI/G/1\) system with Bernoulli retrials: an algorithmic approach ⋮ On bulk-service MAP/PH\(^{L,N}\)/1/N G-queues with repeated attempts ⋮ On multiserver feedback retrial queues with balking and control retrial rate ⋮ A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs ⋮ Quasi-Geometric, Gamma and Gaussian Approximations for Multiserver Retrial Queueing Systems ⋮ Algorithmic analysis of the MAP/PH/1 retrial queue ⋮ On an unreliable-server retrial queue with customer feedback and impatience ⋮ AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue ⋮ On the impact of customer balking, impatience and retrials in telecommunication systems ⋮ Performance Analysis of Retrial Queueing Systems Using Generalized Stochastic Petri Nets ⋮ Numerical solution for the performance characteristics of the M/M/C/K retrial queue with negative customers and exponential abandonments by using value extrapolation method ⋮ The multi-server retrial system with Bernoulli feedback and starting failures ⋮ A Retrial Queueing System with Multiple Hierarchial Orbits and Orbital Search ⋮ Retrial Queue M/M/N with Impatient Customer in the Orbit ⋮ Asymptotic Analysis Methods for Multi-Server Retrial Queueing Systems ⋮ The MAP/(PH,PH,PH)/1 Model with Self-Generation of Priorities, Customer Induced Interruption and Retrial of Customers ⋮ Steady-state queue size distribution of discrete-time \(PH/Geo/1\) retrial queues. ⋮ \(MAP_ 1,MAP_ 2/M/c\) retrial queue with the retrial group of finite capacity and geometric loss. ⋮ The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems. ⋮ A matrix continued fraction algorithm for the multiserver repeated order queue. ⋮ Algorithmic analysis of a multiserver Markovian queue with primary and secondary services ⋮ Queueing models for cognitive wireless networks with sensing time of secondary users ⋮ A matrix-geometric approximation for tandem queues with blocking and repeated attempts

Cites Work