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Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2015
Authors:
K. Kirupa, K. Udaya Chandrika
10.5120/ijca2015906529

K Kirupa and Udaya K Chandrika. Article: Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time. International Journal of Computer Applications 127(10):38-42, October 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {K. Kirupa and K. Udaya Chandrika},
	title = {Article: Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time},
	journal = {International Journal of Computer Applications},
	year = {2015},
	volume = {127},
	number = {10},
	pages = {38-42},
	month = {October},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

Batch arrival retrial queue with positive and negative customers is considered. Server provides M types of service. Positive customers arrive in batches according to Poisson process. If the server is idle upon the arrival of a batch, one of the customers in the batch receives any one the types immediately and others join the orbit. The server is subject to two different modes of failure. Mode 1 failure occurs due to the arrival of negative customer and Mode 2 due to random breakdown of the server. In both cases, repair starts after some random amount of time. The server failed under mode 2 continues the interrupted service or waits for the same customer after the repair completion. Generating function technique is employed to obtain joint distributions of the server state and orbit length. Expected system size, expected orbit size, availability of the server and failure frequency of the server are derived. Stochastic decomposition law is also verified.

References

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Keywords

Retrial queue - negative customers - multi-types of heterogeneous service - setup time - reserved time.