A batch arrival retrial queueing system with two phases of service and service interruption

Authors:
Gautam Choudhury;Lotfi Tadj;Kandarpa Deka
Affiliations:
Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Guwahati-781035, Assam, India;School of Business Administration, American University in Dubai, P.O. Box 28282, Dubai, United Arab Emirates;Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Guwahati-781035, Assam, India
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 16
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Abstract

This paper deals with the steady-state behavior of an M^X/G/1 retrial queue with an additional second phase of optional service and service interruption where breakdowns occur randomly at any instant while the server is serving the customers. Further, the concept of delay time is also introduced in the model. This model generalizes both the classical M^X/G/1 retrial queue with service interruption as well as the M^X/G/1 queue with second optional service and service interruption. We carry out an extensive analysis of this model.