iosr-Jm   Volume-13 ~ Issue-2 ~ Mar-Apr 2017

Abstract: Acceptance sampling plans are introduced mainly to accept or reject the lots of finished products. There are several techniques available to control the quality. Some of the techniques are popularly used where testing involves destruction, for instance, in the manufacturing of crackers, bullets, batteries, bulbs and so on, it is impossible to go for 100% inspection. In this paper we optimized CASP-CUSUM Schemes based on the assumption that the continuous variable under consideration follows a Truncated Dagum Distribution. It is used the Lobatto Integration..............

Keywords: CASP-CUSUM Schemes, type-C, OC Curve, ARL, Truncated Dagum distribution.

[1] Akhtar, P. Md. and Sarma, K.L.A.P. (2004). "Optimization of CASP-CUSUM Schemes based on Truncated Gamma Distribution". Bulletin of Pure and applied sciences, Vol-23E (No.2):215-223.
[2] Beattie, B.W.(1962). "A Continuous Acceptance Sampling procedure based upon a cumulative Sums Chart for number of defective". Applied Statistics, Vol. 11 (No.2): 137-147.
[3] Hawkins, D.M. (1992). "A Fast Accurate Approximation for Average Lengths of CUSUM Control Charts". Journal on Quality Technology, Vol. 24(No.1): 37-43.
[4] Jain, M.K. ,Iyengar, S.R.K. and Jain, R.K. "Numerical Methods of Scientific and Engineering Computations", Willy Eastern Ltd., New Delhi.
[5] Kakoty, S and Chakravaborthy, A.B., (1990), "A Continuous Acceptance Sampling Plan for Truncated Normal distribution based on Cumulative Sums", Journal of National Institution for Quality and Reliability, Vol.2 (No.1): 15-18

Abstract: This study presents a graph theoretical approach to identify the traffic congestion on a road network. Problem address on a city called Kiribathgoda situated in the western province of Sri Lanka. In the analysis of social networks, centrality measures played a vital role to identify the central nodes in a given network. We look at the applicability of centrality and betweenness measures in order to identify the most important locations which directly affect to the traffic congestion in road networks in Sri Lanka. Using the graph theoretical approach a traffic network for a selected area was constructed and several centrality measures were calculated. According to our simulation results, it was noted that the practically identified locations could be identified from the simulations carried out using the centrality measures.

Keywords: Centrality Measures, Betweenness Measures, Road Network, Graph, Traffic

[1]. M. Girvan and M.E. Newman, Community structure in social and biological networks: In Proceedings of the National Academy of Sciences. 2002. 99(12): 7821-7826.
[2]. H. Yang and Y. Sam, Traffic assignment and signal control in saturated road networks. Transportation Research Part A. Policy and Practice. 1995. 29(2):125-139.
[3]. P. Holme, Congestion and centrality in traffic flow on complex networks. Advanced in Complex Systems. 2003. 6(2): 163-176.
[4]. P. Masucci, D. Smith, A. Crooks and M. Batty, Random Planar graphs and London Street network (2004).

Abstract: An analysis to study the unsteady free convective heat transfer due the combined effects of buoyancy, radiation and transverse magnetic field is carried out for an infinite vertical plate in a porous medium. The dimensionless governing coupled partial differential boundary layer equations are formulated and solved analytically using the Laplace transform technique. Results are compared with previous works and found in agreement. The effects of the parameters that enter the problem are discussed.

Keywords: Free convection, heat generation, Laplace transform, magnetohydrodynamic, radiation.

[1] S. Ostrach, An analysis of laminar free convection flow and heat transfer along a flat plate parallel to the direction of the generating body force, NACA Report 1111, 1952.
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[5] A. R.Bestman,Natural convection boundary later with suction and mass transfer in a porous medium, International Journal of Energy Research 14, 280 – 296.

Abstract: To study a pathway fractional integral operator associated with the pathway model and pathway probability density is the object of present paper. We establish new results on applying the saigo-Maeda operators to the product of two-variable Aleph-function. Mathematics Subject Classification: MSC2010, 11S23, 33C45, 33B15.

Keywords: Pathway Fractional integrals operator, Aleph function ), Fox's H- function, general class of polynomials, Beta and gamma function.

[1]. A.M. Mathai, 2005. A pathway to matrix-variate gamma and normal densities. Linear Algebra Appl. 396, 317-328.
[2]. A.M. Mathai and H. J. Haubold , 2008. On generalized distributions and path-ways. Phys. Lett. A 372, 2109-2113.
[3]. A.M. Mathai and H. J.Haubold, 2007. Pathway model, super statistics, Tsallis statistics and a Generalize measure of entropy. Phys. A 375, 110-122.
[4]. V.B.L. Chaurasia and V. Gill, 2013.New pathway fractional integral operator involving H -Functions, ISSN: 2090-5858, Vol. 4(1), 160-168.
[5]. B.Sudland , B. Baumann and T.F.Nonnenmacher , 2001. Fractional driftless, Fokker-Planck Equation with power law delusion coecient in V.G. Ganga, E.W. Mayr, W.G. Varozhtsov, editors Computer Algebra in Scienti c computing (CASC Konstanz2001) Springer, Berlin, 513-525.

Abstract: A transform analogous to the Discrete Fourier transform in a residue ring , where is not necessarily irreducible, is defined. The convolution property is useful in the product of large polynomials in and in between the Discrete Fourier transform on is also applied.

Keywords: Residue Ring, Fourier Transform.

[1]. J.M.Pollard, The Fast Fourier Transform in a Finite Field,Mathematics of Computation,25,1971,365-374.
[2]. P.Anuradha Kameswari and Swathi, Counting in , International Research Jurnoal of Mathematics, Engineering and IT, volume3,issue9,2016,63-70.
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Abstract: This study was a quasi-experimental design aimed at exploring the effect of Teaching for Understanding (TfU) instructional model on the solid geometry learning achievement of Senior Secondary School I (SSSI) students in Emohua Local Government Area (LGA) of Rivers State, Nigeria. A total of 58 SSSI students participated in the study. The instrument used for data collection in this study was a researcher designed and validated the 50-item multiple-choice test, Solid Geometry Achievement Test (SGAT).......

Keywords: Teaching for understanding, senior secondary students, learning achievement, Solid geometry

[1]. Bransford, J. D., Brown, A. L., Cocking, R. R., Committee on Developments in the Science of Learning, & National Research Council. (2000). How People Learn: Brain, Mind, Experience, and School: Expanded Edition (2nd ed.). National Academies Press

[2]. Carson, J. (2011). Teaching for understanding: Evaluating a whole school initiative. Teacher researcher programme 2009/2010. Wallace Hall Academy. General teaching council Scotland.

[3]. Dorji, U., Panjaburee, P., & Srisawasdi, N (2015). Gender differences in students' learning achievements and awareness through residence energy saving game-based inquiry playing. Journal of Computer Education. 2(2):227–243

[4]. Duyilemi, A.N & Bolajoko, A.O (2014). Effects of constructivists' learning strategies on senior secondary school students achievement and retention in biology. Mediterranean Journal of Social Sciences. 5 (27), 627-633.

[5]. Grouws, D. A., & Cebulla, K. J. (2000). Improving student achievement in mathematics. Geneva, Switzerland: International Academy of Education.

Abstract: Recent approach of Neural Network can be employed to solve a wide spectrum of problem in optimization. This paper deals with reliability, non-reliability and cost analysis of a traffic signal system. As all knows, traffic system consists of three lights; red, green and yellow. The red and green signal lights pre-empt in repair over yellow signal light. A multilayered neural network model is introduced in order to optimize the maintenance of the traffic signal system. The system can be fail due to hardware failure with human errors and various environmental conditions. All types of failures, repairs and waiting rates are exponential. System state probabilities and other parameters are developed for the proposed model using neural network approach. At the last, numerical examples are included to illustrate the results.

Keywords: Neural Network, reliability, non-reliability, Neural weights, cost factor.

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[3]. L. Britler Alan, Crystal D. Sloan, "System reliability Prediction: Towards a general approach using neural network‟, Nashville, Tennessee, American Institute of Aeronautics and Astronautics, 2005.
[4]. Ronald E. Giutini, "Mathematical characterization of human reliability for multitask system operations‟, IEEE, pp 1325-39, 2000.
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Abstract: In this paper, we studied the fuzzy metric space as defined by Z.Q.Xia, and F.F.Guo. Defined in different way in the sense of fuzzy scalars instead of fuzzy numbers or real numbers are used to define fuzzy metric. It is proved that every metric space can induce a fuzzy metric space that is complete whenever, the original one is complete. We define fuzzy contraction mapping and try to established fixed point theorem in fuzzy metric space.

Keywords: Fuzzy metric space, induced fuzzy metric space, Contraction mapping in fuzzy metric space.

[1]. B.B.Chaudhary and A.Rosenfeld, "On a metric distance between fuzzy sets," Pattern Recognition Letters 17(1996),1157 – 1160.
[2]. P.Diamond and P.Kloden,"Metric Spaces of fuzzy sets, Fuzzy sets and system 35(1990),241-249.
[3]. A.George and P.V.Veeramani,"On some results of fuzzy metric spaces," Fuzzy sets and system 64(1994),395 - 399.
[4]. A.George and P.V.Veeramani, "on some results of analysis for fuzzy metric spaces" Fuzzy sets and systems.90(1997),365 – 368.
[5]. Z.Q.Xia and F.F.Guo,"Fuzzy metric spaces" J. Appl. Math.& Computing, Vol-16(2004),No.1–2,371-381.

Abstract: This study was undertaken to evaluate the mathematics programme of Kano Educational Resource Department. The research design used was evaluation. The main objectives of the study are to determine whether or not the set objectives of the mathematics section are achieved. Based on the result appropriate recommendations were proffered. A questionnaire designed by the researcher was used. The questionnaire was validated by three (3) curriculum experts, three mathematics educators and an english language specialist. The instrument reliability coefficient of r = 0.646 was obtained by using Kuder – Richardson formular 21 (KR21). 8 out of the 10 null hypotheses raised and tested were not rejected while 2 were rejected. The result showed that in general the objectives of the mathematics section are achieved. Recommendation for more funding and staff were advanced.

Keywords: Evaluation, Mathematics

[1]. Abbas, S.A. (2000). Ethnomathematics and teaching mathematics in primary schools: A new perspective. Kano Study New Series 2000, vol. I, No.I Bayero University Kano
[2]. Korau, Y.K. (2006). A systematic attempt to establish the fear and poor performance of senior secondary school students in geometry and triagonometric concepts:- a case study of W.A.E.C candidates. A paper presented at the 43rd annual conference of mathematical association of Nigeria held at ATBU Bauchi.
[3]. Isa, S.G. (2017). The effect of ethnomathematics on school mathematics in Kano State Junior Secondary Schools. A paper presented at the 19th international conference on mathematics education held in Dubai, UAE feb. 26 – 27, 2017
[4]. Nizoloman, O.N. (2013). Relationship between mathematical ability and achievement in mathematics among female secondary school students in Bayelsa state, Nigeria. Procedia social and behavioral sciences, 106, 2230 – 2240.
[5]. Akubiuro, I.M. and Joshua (2004). Self-concept, attitude and achievement of secondary school students in science in southern cross-river state, Nigeria

Abstract: In this paper, we study the two edge-coloring of Km,n such that Km,n contains a monochromatic subgraph Ks, 2, Ks, 3 or Ks, t. We find the relation between n, s by investigating a two coloring of a checkerboard

Keywords: Complete bipartite graph, monochromatic subgraph

[1] Ronald L. Graham, Bruce L. Rothschild, and Joel H. Spencer, Ramsey theory (Wiley Series in Discrete Mathematics and Optimization. John Wiley & Sons, Inc., Hoboken, NJ, 2013).
[2] Douglas B. West, Introduction to graph theory (Prentice Hall, Inc., Upper Saddle River, NJ, 1996).
[3] Jiong-Sheng Li, Colored Checkerboard and Bipartite Ramsey Numbers, Bulletin of the Institute of Mathematics Academia Sinica, 21(3), 53-72, 1997.
[4] Zi-Xuan Lin, The coloring of a checkerboard and the monochromatic subgraphs of a complete bipartite graph. Master Thesis, 2013.

Abstract: This research work is devoted to the general Efficiency presented in the best appropriate environment of the infinite dimensional Ordered Vector Spaces, following our recent results, especially using the largest class of the Convex Cones discovered till now in separated Locally Convex Spaces, named by us Isac's Cones, and ensuring the existence together with important properties for the efficient points under completeness instead of compactness........

Keywords: Ordered vector space, general efficiency, multifunction, Pareto optimality, locally convex space, Isac's (nuclear, supernormal) cone, Choquet boundary, best approximation, splines in H-locally convex spaces.

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Abstract: A first order nonlinear impulsive integrodifference equation within the frame of - k q symmetric quantum calculus is investigated by applying using fixed point theorems.The conditions for existence and uniqueness of solution are obtained.

Keywords: q Symmetric integrodifference equation, - k q symmetric derivatives, - k q symmetric integrals, Boundary value problem.

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Abstract: In this study, two polynomial splines are developed and used to obtain the numerical solution of singularly perturbed two-point boundary value problems. The two polynomial splines developed are linear and non-linear polynomial splines. The applications of these splines to singularly perturbed two-point boundary value problems resulted to linear algebraic system of equations which are then solved by Gaussian elimination method to obtain the unknown constants arising from the splines used. Three singularly perturbed boundary value problems are solved.

Keywords: Singularly perturbation, polynomial and non-polynomial Spline, boundary value problems and Absolute Error.

[1]. Agarwal R., O'Regan D. (2009): Ordinary and partial differential equations with special functions, Fourier series and boundary value problems. Springer, New York.
[2]. Fazal-i-Haq (2009): Numerical solution of boundary value and initial boundary value problems using spline functions, PH.D thesis, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology.
[3]. Islam,S. Khan, M.A., Tirmizi, S.I.A. and Twizell, E.H. (2005): A non-polynomial spline approach to the solution of a system of third-order boundary value problems using non-polynomial spline, Applied Mathematics and Computation, 168(1), 152-163.
[4]. Taiwo, O.A and Ogunlaran, O.M. (2011): A non-polynomial spline method for solving linear fourth order boundary value problems, International Journal of Physical Sciences, 6(13), 3246-3254.
[5]. Tariq, A. Arshad, Khan (2002): A spline method for second-order singularly perturbed boundary value problems, Journal of Computational and Applied Mathematics, 147, 445-452.

Abstract: The concept of scalar commutativity defined in an algebra A over a ring R is mixed with the concept of weak-commutativity defined in a Near-ring to coin the new concept of scalar weak commutativity in an algebra A over a ring R and many interesting results are obtained.

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[3]. G.Gopalakrishnamoorthy, S.Geetha and S.Anitha, On Quasi - weak m-power Commutative Near-rings and Quasi - weak ( m,n ) power commutativenear – rings, IOSR Jour.of.Math, vol 12(4), (2016), 87-90.
[4]. G.Gopalakrishnamoorthy, S.Geetha and S.Anitha, On Quasi-weak Commutative Boolean-like near-rings, Malaya Journal of Mathematik , 3(3) , (2015), 318 – 326.
[5]. G.Gopalakrishnamoorthy, S.Geetha and S.Anitha, On Weak m power Commutative Near-ring and Weak ( m,n ) power commutative near- rings.