Volume-7 ~ Issue-2
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Abstract: The self Help Group (SHG) is group of rural poor who have organized themselves into a group for eradicationof poverty. The members of the group belong to families below the poverty line. This will help the families of occupational groups like agricultural labourers, marginal farmers, designers and artisans marginally above the poverty line, or who may have been excluded from the Below Poverty Line (BPL) list to become members of the Self Help Group. A self help group consists of two categories. One named as magalier thittam and another is non- magalier thittam. The factors of Self help group categories are random in nature. These factors can be handled using stochastic linear programming problem (SLPP). Here the data is collected from Tuticorin district. The optimization technique such as two stage programming and chance constrained programming can be adopted for SLPP. In this paper chance constrained programming (CPP) is used to obtain optimal solution.
Keywords: SLPP, CCP, LP, SHG.
[1] Li P., Arellano-Garcia H., Wozny G., "Chance Constrained Programming Approach to Process Optimization under Uncertainty",
Computers and Chemical Engineering 32,25-45,2008.
[2] CHARNESA, and W.W. COOPER", Chance Constrained Programming,"Management Science, Vol. 5, 1959, pp. 73-79.
[3] Cigdem Z. Gurgur a; James T. Luxhoj," Application of Chance-Constrained Programming to Capital Rationing Problems With
Asymmetrically Distributed Cash. Flows and Available Budget,"The Engineering Economist, Vol. 48, 2003.
[4] Harvey ARELLANO-GARCIA," Chance ConstrainedOptimization of Process Systems under Uncertainty".
[5] R. Jagannathan , Chance-Constrained Programming with Joint Constraints, http://www.jstor.org/action 1974.
[6] Kantiswarup, P. K. Gupta and Man Mohan,"Operations research", Sultan Chand &Sons, New Delhi, 1993.
[7] S. S. RAO, Optimization theory and applications, Wiley, New York, 1992
[8] RENE HENRION,"Introduction to Chance –Constrained Programming"www.stoprog.org.
[9] Suvrajeet Sen and Julia L. Higle, "An Introductory Tutorial on Stochastic LinearProgramming Models", Programming Stochastic
Tutorial.
[10] H. A. Taha, Operations research: an introduction, Macmillan, New York, 1971.
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Abstract:In this paper, we investigated the effects of magnetic field and thermal in Stokes' second problem for unsteady second grade fluid flow through a porous medium. The expressions for the velocity field and the temperature field are obtained analytically. The effects of various pertinent parameters on the velocity field and temperature field are studied through graphs in detail.
Keywords: Thermal Effects, Fluid Flow, Porous Medium, Magnetic field.r
[1] L. Ai and K. Vafai, An investigation of stokes' second problem for non-Newtonian fluids, Numerical Heat Transfer, Part A, 47(2005), 955-980.
[2] C. Argento and D. Bouvard, A Ray, Tracing Method for Evaluating the Radiative Heat Transfer in Porous Medium", Int. J. Heat Mass Transfer, 39(1996), 3175-3180.
[3] S. Asghar, T. Hayat and A.M. Siddiqui, Moving boundary in a non-Newtonian fluid, Int. J. Nonlinear Mech., 37(2002), 75 - 80.
[4] A. J. Chamkha, Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption, Int. J. Heat Fluid Flow, 20(1999), 84 - 92.
[5] H. Chen and C. Chen, Free convection flow of non-newtonian fluids along a vertical plate embedded in a porous medium, Journal of Heat Transfer, 110(1988), 257 - 260.
[6] C.I. Chen, C.K. Chen and Y.T. Yang, Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions. Heat and Mass Transfer, 40(2004), 203 - 209.
[7] R.V. Dharmadhikari and D.D. Kale, Flow of non-newtonian fluids through porous media, Chem. Eng. Sci., 40(1985), 527-529.
[8] J.E. Dunn and K.R. Rajagopal, Fluids of differential type: critical review and thermodynamic analysis, Int. J. Engng. Sci., 33(1995), 689 - 729.
[9] M. E. Erdogan, Plane surface suddenly set in motion in a non-Newtonian fluid, Acta Mech., 108(1995), 179 - 187.
[10] M. E. Erdogan, A note on an unsteady flow of a viscous fluid due to an oscillating plane wall, Int. J. Non-Linear Mech., 35(2000), 1 - 6.
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Abstract:Experts in the mathematical modeling for two interacting technologies have observed the different contributions between the intraspecific and the interspecific coefficients in conjunction with the starting population sizes and the trading period. In this complex multi-parameter system of competing technologies which evolve over time, we have used the numerical method of mathematical norms to measure the sensitivity values of the intraspecific coefficients b and e, the starting population sizes of the two interacting technologies and the duration of trading. We have observed that the two intraspecific coefficients can be considered as most sensitive parameter while the starting populations are called least sensitive. We will expect these contributions to provide useful insights in the determination of the important parameters which drive the dynamics of the technological substitution model in the context of one-at-a-timesensitivity analysis.
Keywords: Sensitivity Analysis, Mathematical Model, Interacting Technologies.
[1] Bazykin A., Nonlinear Dynamics of Interacting Populations, World Scientific Series on Nonlinear Science, Series A, Vol 11, Leon Chua, ed., World Scientific, New Jersey, 1998
[2] Kumar U. and Kumar V., Technological Innovation Diffusion: The Proliferation of Substitution Models and Easing the User's Dilemma, IEEE Transactions on Engineering Management 39(2), 158-168 (1992).
[3] Young P., Technological Growth Curves, A Competition of Forecasting Models, Technological Forecasting and Social Change 44, 375-389 (1993)
[4] Bhargava S. C., Generalized Lotka-Volterra Equations and the Mechanism of Technological Substitution, Technological Forecasting and Social Change 35, 319-326 (1989)
[5] S. A. Morris, David Pratt, Analysis of the Lotka-Volterra Competition Equations as a Technological Substitution Model. Technological Forecasting and Social change 70(2003) 103-133.
[6] E. N. Ekaka-a, Computational and Mathematical Modelling of Plant Species Interactionsin a Harsh Climate, PhD Thesis, Department of Mathematics, The University of Liverpool and The University of Chester, United Kingdom, 2009.
