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Your search keyword '"K. O., Ramakrishnan"' showing total 4 results
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4 results on '"K. O., Ramakrishnan"'

1. Balance theory: An extension to conjugate skew gain graphs.

Author

Koombail, Shahul Hameed and K. O., Ramakrishnan

Subjects
*GRAPH theory, *LAPLACIAN matrices, *EIGENVALUES, *MATHEMATICAL notation, *COMPLEX numbers, *EDGES (Geometry)
Abstract

We extend the notion of balance from the realm of signed and gain graphs to conjugate skew gain graphs which are skew gain graphs where the labels on the oriented edges get conjugated when we reverse the orientation. We characterize the balance in a conjugate skew gain graph in several ways especially by dealing with its adjacency matrix and the g -Laplacian matrix. We also deal with the concept of anti-balance in conjugate skew gain graphs. [ABSTRACT FROM AUTHOR]

Published
2024
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4. Multiserver queue with addressed retrials

Author

Achyutha Krishnamoorthy, Alexander N. Dudin, Vilena V. Mushko, K. O. Ramakrishnan, and M. J. Jacob

Subjects
Exponential distribution, Stationary distribution, business.industry, Computer science, Real-time computing, General Decision Sciences, Retrial queue, Management Science and Operations Research, Server, Probability distribution, ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика [ЭБ БГУ], business, Queue, Computer network
Abstract

The article is available at: http://springerlink.com/content/t18530464n5810vn/ This paper presents a multiserver retrial queueing system with servers kept apart, thereby rendering it impossible for one to know the status (idle/busy) of the others. Customers proceeding to one channel will have to go to orbit if the server in it is busy and retry after some time to some channel, not necessarily the one already tried. Each orbital customer, independently of others, chooses the server randomly according to some specified probability distribution. Further this distribution is identical for all customers. We assume that the same ‘orbit’ is used by all retrial customers, between repeated attempts, to access the servers. We derive the system state probability distribution under Poisson arrival process of external customers, exponentially distributed service times and linear retrial rates to access the servers. Several system state characteristics are obtained and numerical illustrations provided.

Published
2006

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