Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Department of Mathematics

World University root node

VIT Unitversity

School of Advanced Sciences

Vellore Campus

Fulltext

International Journal of Pure and Apllied Mathematics

STUDY ON i-v FUZZY TRANSLATION AND MULTIPLICATION OF i-v FUZZY beta-SUBALGEBRA

The present investigation deals with performance analysis of single server preemptive priority retrial queue with immediate Bernoulli feedback. There are two types of customers are considered, which are priority customers and ordinary customers. The priority customers do not form any queue and have an exclusive preemptive priority to receive their services over ordinary customers. After completion of regular service for ordinary customer, the customer is allowed to make an immediate feedback with probability r. When the orbit becomes empty at service completion instant for a priority customer or ordinary customer; the server goes for multiple working vacations. By using the supplementary variable technique, we obtained the steady state probability generating functions for the system/orbit. Some important system performance measures, the mean busy period and the mean busy cycle are discussed. Finally, some numerical examples are presented. © 2016, Prince of Songkla University. All rights reserved.

Songklanakarin Journal of Science and Technology

Performance analysis of preemptive priority retrial queue with immediate Bernoulli feedback under working vacations and vacation interruption

In order to assess the performance of an approach, it is unavoidable to inspect the performance with distinct datasets with diverse characteristics. In this paper we had assessed the system performance with random workbench datasets. A-GA (Adaptive Genetic Algorithm) based consolidation technique has been compared with other consolidation techniques including dynamic CPU utilization techniques, VM (Virtual Machine) selection and placement policies. The proposed consolidation system had exhibited better results in terms of energy conservation, minimal Service Level Agreement (SLA) violation and Quality of Service (QoS) assurance. © 2016, Eszterhazy Karoly College. All rights reserved.

Annales Mathematicae et Informaticae

Evolutionary computing based QoS oriented energy efficient VM consolidation scheme for large scale cloud data centers using random work load bench

In this paper, we are concerned with Tate homology tor ̂ of modules of finite Gorenstein FI-flat dimension. We determine connections between Tate, relative and absolute homology. Furthermore, we discuss Tate homology tor ̂ of a FI-cotorsion modules of finite Gorenstein FI-flat dimension over right coherent rings. © 2016, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

Vietnam Journal of Mathematics

Gorenstein FI-Flat Dimension and Tate Homology

This paper presents an order level inventory system with time dependent Weibull deterioration and quadratic demand rate where holding costs as a linear function of time. The proposed model considered here to allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The implementation of the proposed model is illustrated using some numerical examples. Sensitivity analysis is performed to show the effect of changes in the parameters on the optimum solution. © 2015, Springer India Pvt. Ltd.

International Journal of Applied and Computational Mathematics

An EOQ Model with Time Dependent Weibull Deterioration, Quadratic Demand and Partial Backlogging

In this paper, we investigated the effects of aligned magnetic field, thermal radiation, heat generation/absorption, cross-diffusion, viscous dissipation, heat source and chemical reaction on the flow of a nanofluid past an exponentially stretching sheet in porous medium. The governing partial differential equations are transformed to set of ordinary differential equations using self-similarity transformation, which are then solved numerically using bvp4c Matlab package. Finally the effects of various non-dimensional parameters on velocity, temperature, concentration, skin friction, local Nusselt and Sherwood numbers are thoroughly investigated and presented through graphs and tables. We observed that an increase in the aligned angle strengthens the applied magnetic field and decreases the velocity profiles of the flow. Soret and Dufour numbers are helpful to enhance the heat transfer rate. An increase in the heat source parameter, radiation parameter and Eckert number increases the mass transfer rate. Mixed convection parameter has tendency to enhance the friction factor along with the heat and mass transfer rate. © 2015, The Author(s).

Applied Nanoscience (Switzerland)

Aligned magnetic field and cross-diffusion effects of a nanofluid over an exponentially stretching surface in porous medium

An unsteady two-dimensional MHD flow between the infinite parallel plates has been investigated. The effects of thermal radiation and magnetic field have been included in this model. The governing partial differential equations are transformed into the system of ordinary differential equations and then solved numerically by using Runge-Kutta based shooting technique. The impact of innumerable non-dimensional governing constraints on the velocity and temperature profiles along with the local Nusselt number, Squeeze number, Eckert number and the Prandtl number are analyzed in detail. The results indicate that the absolute skin friction coefficient increase with the increase in Squeeze number. It is also found that the Nusselt number is an increasing function of Squeeze number. © Research India Publications.

Global Journal of Pure and Applied Mathematics

Effect of nonlinear thermal radiation on unsteady mhd flow between parallel plates

In this paper a new algorithm is proposed to find the optimal solution and total optimal fuzzy cost for the given fuzzy assignment (FA) problems using crisp linear programming (LP) problem. In this proposed method,all the parameters are represented by triangular fuzzy number. The fuzzy optimal solution of the FA problems obtained by the proposed method,do not require Hungarian algorithm [6] and ranking method [1,2,5,8]. The proposed algorithm is very easy to understand and apply to find fuzzy optimal cost taking place in the real life situations. © 2016,International Journal of Pharmacy and Technology. All rights reserved.

International Journal of Pharmacy and Technology

A new approach for solving balanced and/or unbalanced fuzzy assignment problems

In this paper, we introduce the fractional wavelet transformations (FrWT) involving Hankel–Clifford integral transformation (HClIT) on the positive half line and studied some of its basic properties. Also we obtain Parseval’s relation and an inversion formula. Examples of fractional powers of Hankel–Clifford integral transformation (FrHClIT) and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties. © 2016, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.

Acta Mathematica Sinica, English Series

Fractional wavelet packet transformations involving Hankel–Clifford integral transformations

Macrophages are capable of producing large amounts of both intracellular and extracellular infected cells without necessarily succumbing to the lethal effects of productive viral infection. In this manuscript, authors studied the macrophages infection by human immunodeficiency virus type 1 in the form of mathematical models along with two different types of delays. The asymptotic stability of the constructed model without time delay is proved by utilizing the roots of the characteristic quasi-polynomial which is obtained by applying Jacobian matrix method. Based on Routh-Hurwitz criterion, the dynamical properties of model with a delay is investigated. Instead of discrete time delay, the effect of distribution of delays in the immune activation is also analyzed by using linear chain trick technique. In particular, the model undergoes Hopf bifurcation depending on the critical value of single delay in the activation of immune response. Anti-retroviral treatments have been used to control the replication of HIV-1 virus in infected patients is investigated along with time delay. Moreover, it is proved that the existence of two different types of delays may cause the solutions of the model to become stable or unstable depending on the conditions of chosen bifurcation parameter. Numerical simulations are performed to validate the derived theoretical results. © 2015 Elsevier B.V.