Person:
Artalejo Rodríguez, Jesús Manuel

First Name

Jesús Manuel

Last Name

Artalejo Rodríguez

URI

https://hdl.handle.net/20.500.14352/82709

Affiliation

Universidad Complutense de Madrid

Faculty / Institute

Ciencias Matemáticas

Area

Estadística e Investigación Operativa

Identifiers

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Now showing 1 - 10 of 48

Analysis of Markov multiserver retrial queues with negative arrivals
(Queueing Systems, 2001) Artalejo Rodríguez, Jesús Manuel; Anisimov, Vladimir V.
Negative arrivals are used as a control mechanism in many telecommunication and computer networks. In the paper we analyze multiserver retrial queues; i.e., any customer finding all servers busy upon arrival must leave the service area and re-apply for service after some random time. The control mechanism is such that, whenever the service facility is full occupied, an exponential timer is activated. If the timer expires and the service facility remains full, then a random batch of customers, which are stored at the retrial pool, are automatically removed. This model extends the existing literature, which only deals with a single server case and individual removals. Two different approaches are considered. For the stable case, the matrix–analytic formalism is used to study the joint distribution of the service facility and the retrial pool. The approximation by more simple infinite retrial model is also proved. In the overloading case we study the transient behaviour of the trajectory of the suitably normalized retrial queue and the long-run behaviour of the number of busy servers. The method of investigation in this case is based on the averaging principle for switching processes.
Stationary analysis of a retrial queue with preemptive repeated attempts
(Operations Research Letters, 2001) Artalejo Rodríguez, Jesús Manuel; Dudin, Alexander N.; Klimenok, Valentina, I.
We consider a retrial queueing system where customers at the retrial group have preemptive priority over customers at the waiting line. The stationary distribution can be approximated at a desired level of accuracy in such a way that the approximated marginal distribution of the number of customers at the retrial group remains equal to the exact marginal distribution.
Some results on the M/G/1 queue with N-policy
(Asia-Pacific Journal of Operational Research, 1998) Artalejo Rodríguez, Jesús Manuel
This paper deals with the M/G/1 queue with N-policy. We show some applications of the stochastic decomposition property for the queue size. A new stochastic decomposition property for the waiting time is observed. Explicit expressions for the moments of the stationary waiting time are also obtained.
On the single server retrial queue with balking
(INFOR. Information systems and operational research, 2000) Artalejo Rodríguez, Jesús Manuel; López Herrero, María Jesús
We are concerned with the M/G/1 retrial queue with balking. The ergodicity condition is first investigated making use Of classical mean drift criteria. The limiting distribution of the number of customers in the system is determined with the help of a recursive approach based on the theory of regenerative processes. Many closed form expressions are obtained when we reduce to the M/M/1 queue for some representative balking policies.
Accessible bibliography on retrial queues: Progress in 2000–2009
(Mathematical and Computer Modelling, 2010) Artalejo Rodríguez, Jesús Manuel
In this work, we present a bibliography on retrial queues which updates the bibliography published in this journal in Artalejo (1999) [7]. The bibliography is focused on the progress made during the last decade 2000–2009. For the sake of completeness, a few papers published in 1999, and non-cited in Artalejo (1999) [7], have also been included. To keep the length manageable we have excluded conference proceedings, theses, unpublished reports, and works in languages other than English.
On the single server retrial queue subject to breakdowns
(Queueing Systems, 1998) Artalejo Rodríguez, Jesús Manuel; Aissani, Amar
This paper deals with a single server retrial queueing system subject to active and independent breakdowns. The objective is to extend the results given independently by Aissani [1] and Kulkarni and Choi [15]. To this end, we introduce the concept of fundamental server period and an auxiliary queueing system with breakdowns and option for leaving the system. Then, we concentrate our attention on the limiting distribution of the system state. We obtain simplified expressions for the partial generating functions of the server state and the number of customers in the retrial group, a recursive scheme for computing the limiting probabilities and closed-form formulae for the second order partial moments. Some stochastic decomposition results are also investigated.
Numerical analysis of (s, S) inventory systems with repeated attempts
(Annals of Operations Research, 2006) Artalejo Rodríguez, Jesús Manuel; Krishnamoorthy, A.; López Herrero, María Jesús
This paper deals with a continuous review (s, S) inventory system where arriving demands finding the system out of stock, leave the service area and repeat their request after some random time. This assumption introduces a natural alternative to classical approaches based either on lost demand models or on backlogged models. The stochastic model formulation is based on a bidimensional Markov process which is numerically solved to investigate the essential operating characteristics of the system. An optimal design problem is also considered.
On the time to reach a certain orbit level in multi-server retrial queues
(Applied Mathematics and Computation, 2005) Artalejo Rodríguez, Jesús Manuel; Martín Apaolaza, Níriam
Multi-server retrial queues are widely used to model stochastically many telephone systems and computer networks. This paper studies the distribution of the time needed to reach a certain level of congestion, i.e., a given number of customers in the retrial group. We present a detailed algorithmic analysis which includes the computation of the time to reach a critical number of customers (continuous descriptor), the number of customers served during such a time (discrete descriptor) and the corresponding moments for both queueing performance measures
A finite source retrial queue
(European Journal Of Operational Research, 1998) Artalejo Rodríguez, Jesús Manuel; Falin, Guennadi I.
This paper deals with a single-server retrial queue with a finite number of sources. Our analysis extends previous work on this topic and includes the analysis of the arriving customer's distribution, the busy period and the waiting time process. This queuing system and its variants are widely used to model magnetic disk memory systems, star-like local area networks and other communication systems.
On the impact of customer balking, impatience and retrials in telecommunication systems
(Computers & Mathematics with Applications, 2009) Artalejo Rodríguez, Jesús Manuel; Pla, V.
This paper deals with a Markovian multiserver model, where the simultaneous effect of customerbalking, impatience and retrials is evaluated. The study of systems incorporating these features is motivated by the observation of real service systems where these queueing phenomena interact. Simple approximations based on truncation and generalized truncation are provided. These approximations are compared according to different criteria for several selected scenarios. Finally, our results are used to evaluate the optimal ratio between the number of available channels and the number of waiting positions in an application to call center management.