Analysis of a multi-server retrial queue with search of customers from the orbit

Authors:
Srinivas R. Chakravarthy;A. Krishnamoorthy;V. C. Joshua
Affiliations:
Department of Industrial and Manufacturing Engineering, Kettering University, Flint, MI;Department of Mathematics, Cochin University of Science & Technology, Kerala, India;Department of Mathematics, C.M.S. College, Kottayam, Kerala, India
Venue:
Performance Evaluation
Year:
2006

Citing 11
Cited 8

A simple telephone exchange with delayed feedbacks

Proc. of the international seminar on Teletraffic analysis and computer performance evaluation
Multichannel queueing systems with repeated calls under high intensity of repetition

Journal of Information Processing and Cybernetics
A survey on retrial queues

Queueing Systems: Theory and Applications
A survey of retrial queues

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Numerical investigation of a multiserver retrial model

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Introduction to matrix analysis (2nd ed.)

Introduction to matrix analysis (2nd ed.)
A retrial BMAP/SM/1 system with linear repeated requests

Queueing Systems: Theory and Applications
A Multi-Server Retrial Queue with BMAP Arrivals and Group Services

Queueing Systems: Theory and Applications
Queueing system BMAP/G/1 with repeated calls

Mathematical and Computer Modelling: An International Journal
The stationary distribution of a markovian process arising in the theory of multiserver retrial queueing systems

Mathematical and Computer Modelling: An International Journal
Accessible bibliography on retrial queues

Mathematical and Computer Modelling: An International Journal

The M/G/1 retrial queue: New descriptors of the customer's behavior

Journal of Computational and Applied Mathematics
Numerical investigation of a PH/PH/1 inventory system with positive service time and shortage

Neural, Parallel & Scientific Computations
Moments of the queue size distribution in the MAP/G/1 retrial queue

Computers and Operations Research
Analysis of the successful and blocked events in the Geo/Geo/c retrial queue

Computers & Mathematics with Applications
Study of multi server retrial queueing system under vacation policies by direct truncation method

Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Performance Analysis of Dedicated Signalling Channels in GERAN by Retrial Queues

Wireless Personal Communications: An International Journal
Modeling wireless sensor networks using finite-source retrial queues with unreliable orbit

PERFORM'10 Proceedings of the 2010 IFIP WG 6.3/7.3 international conference on Performance Evaluation of Computer and Communication Systems: milestones and future challenges
Analysis of a cellular network with user redials and automatic handover retrials

NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking

Quantified Score

Hi-index	0.00

Visualization

Abstract

We consider a multi-server retrial queueing model in which customers arrive according to a Markovian arrival process (MAP). An arriving customer finding a free server enters into service immediately; otherwise the customer enters into an orbit of infinite size. An orbiting customer competes for service by sending out signals at random times until a free server is captured. The inter-retrial times are exponentially distributed with intensity depending on the number of customers in the orbit. Upon completion of a service, with a certain probability the server searches for an orbiting customer. Assuming the search time to be negligible, and the service and retrial times to be exponentially distributed, we perform the steady state analysis of the model using direct truncation and matrix-geometric approximation. Efficient algorithms for computing various steady state performance measures and illustrative numerical examples are presented.