iosr-Jm   Volume-12 ~ Issue-2 ~ Mar-Apr 2016

Abstract: The MHD laminar boundary layer flow with heat and mass transfer of an electrically conducting water based nanofluid over a nonlinear stretching sheet with viscous dissipation effect is investigated numerically. This is the extension of previous study on flow and heat transfer with porous medium is presented in this paper. The sheet is assumed to be permeable......

Keywords: MHD, Nanofluids, Viscous dissipation, Stretching Sheet, Porous Medium.

[1]. Gorla, R. S. R. & Chamkha, A. (2011) "Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid", Journal of Modern Physics, Vol. 2, pp62-71.
[2]. Saidura, R. Leong, K. Y. & Mohammad, H. A. (2011) "A review on applications and challenges of nanofluids", Renewable and Sustainable Energy Reviews, Vol. 15, pp1646-1668.
[3]. Cheng, P. & Chang, I-D. (1976) "Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces", Int. J. Heat Mass Transfer, Vol. 19, pp1267-1276.
[4]. Nield, D. A. & Bejan, A. (2013) Convection in Porous Media, Springer
[5]. S. Shateyi, J. Prakash, A new numerical approach for MHD laminar boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation, Boundary Value Prob. 2014 (2014) 2.

Abstract:In this paper we have investigated Bulk viscous fluid Bianchi Type - I string cosmological model in general relativity. To get a deterministic model, it is assumed that 𝜉𝜽 = 𝑀 (𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡) , where 𝜉 is the coefficient of bulk viscosity is, 𝜽 is the scalar of expansion and a relation between metric potential B = An .The physical and geometrical aspects of the model are also discussed.
Key words: Bianchi Type-I models, bulk viscosity, scalar of expansion.

[1]. Kibble, T.W.B., Some implications in a cosmological phase-transition, Phys. Rep. 67, 183 (1980).
[2]. Zel'sdovich, Ya. B., Kokzarev, I. Yu and Okun. L. B. Cosmological consequences of a spontaneous breakdown of a discrete
symmetry, Zn.Sov.phys. JETP.40, 1-5 (1975).
[3]. Vilenkin, A.,Cosmic strings Phys. Rev. D 24, 2082 (1983).
[4]. Letelier, P.S., String cosmologies, Phys. Rev. D 20, 1294 (1979).
[5]. Stachel, J., Thickening the string I the string perfect dust, Phys. Rev. D 21, 2171 (1980).

Abstract: Step1: Find the value of a∙c. Step2: Find the divisors of the value of a∙c, where not required all divisors of the value of a∙c, if you feel find all divisors, then you can find. Step3: Choose two numbers from divisors of the value of a∙c of which multiplication should be equal to the value of a∙c, and sum or difference should be equal to the value of b. Step4: Change the sign of both chosen numbers........

Keywords: Divisors and coefficients.

Book
e-ISSN:2278-5728 Volume:12 Issue:2(Version-3) p-ISSN:2319-765X
Chapter in book
Indrajeet's rule for quadratic equation

Abstract: This study aim to measuring the factors in terms of a number of patients who take oxygen therapy, time spent by patients in treatment and oxygen rate flow that affect medical oxygen demand by the governmental hospitals in Khartoum State. As well as to testing effects type of disease, age groups of patients who need medical oxygen as a treatment and seasonality of the demand of medical oxygen. Survey covered number of (15) governmental hospitals in Khartoum State ( 9 urban & 6 rural)......

Keywords: Factors Analysis, Medical Oxygen demand, Medical Oxygen at hospitals in Khartoum state.

[1]. Armstrong, J. Scott (2012). "Illusions in Regression Analysis". International Journal of Forecasting (forthcoming) 28 (3): 689. doi:10.1016/j.ijforecast.2012.02.001
[2]. American National Home Oxygen Patients Association (NHOPA) Reviewed and Revised 2013 (By: Dennis E. Doherty, MD, Physician Member of NHOPA Board of Directors ) Source URL :www.homeoxygen.com
[3]. Beverly D. Bradley , Stephen R. C. Howie, Timothy C. Y. Chan,Yu-Ling Cheng. 2014. Estimating Oxygen Needs for Childhood Pneumonia in Developing Country Health Systems. Plos One. 9(2).
[4]. CP Singh, Nachhattar Singh, Jagraj Singh, Gurmeet Kaur Brar , Gagandeep Singh . 2001 Journal, Indian Academy of Clinical Medicine 2, No. 3
[5]. FederalMinistryofHealthofSudan1997.SourceURL

Abstract: Truncated life test single and double acceptance sampling plans are designed by specifying two points on the operating characteristic curve which are associated with consumer's risk and producer's risk by assuring percentile life when the lifetime of the product follows Gompertz distribution. The quality levels are expressed by the ratio of true percentile life to the specified percentile life.......

Keywords: Acceptance sampling plans, Consumer's risk, producer's risk, truncated life test, Gompertz distribution.

[1]. Aslam,M. and Jun, C.H.(2013), Designing of time truncated acceptance sampling plans by using two-point approach, Electronic
Journal of Applied Statistical Analysis, Vol.6(1),318-31.
[2]. Balamurali, S., Muhammad Aslam, and Mohammad Saber Fallah Nezhad (2013), An Acceptance sampling plan under Frechet
distribution assuring median life, Research Journal of Applied sciences, Engineering and Technology.,Vol:24,(6),4519-4523.

[3]. Baklizi,A. and El Masri,A.E.Q .(2004), Acceptance sampling plans based on truncated life tests in Birnbaum-Saunders model, Risk Anal., Vol.24 (6), 1453-1457.

[4]. Epstein,B.(1954), Truncated life tests in the exponential case, Annals of Math. Stat.,Vol.25, 555-564.

Abstract:If the light objects are weighed in groups rather than individually, and the weights of the individual objects are estimated, then the precision of the estimates of the weights of the objects increases quite considerably. In the present paper, two methods for the construction of spring balance weighing designs using Balanced incomplete block designs (BIBD) and Mutual orthogonal Latin squares (MOLS) are proposed and the methods are illustrated through suitable examples.

Keywords: BIBD, MOLS, Spring Balance Designs

[1]. Banerjee, K. S.. Weighing designs and balanced incomplete blocks, AMS, 19, 1948, 394-399
[2]. Banerjee, K.S. (1949). On certain aspects of spring balance designs, Sankhya-B, 9, 1949, 367-376.
[3]. Banerjee, K.S. Weighing Designs, (Dekker, New York), 1975.
[4]. Bhatra charyulu N.Ch. On Weighing Designs, unpublished M.Phil. thesis, 1991, submitted to Osmania University, Hyderabad.
[5]. Cernaka and Kalulska. Optimum singular spring balance weighing designs with non homogeneity of errors for estimating the total
weight. Australian Journal of Statistics, 28, 1986, 200-205.

Abstract:In this paper, the correlation abilities of nine vertex-degree-based AG (Arithmetic-Geometric) indices occurring in the physico-chemical properties of boiling point , density and refractive index of n-heptane alkane isomers is presented.
Keywords:Arithmetic-Geometric Index, graph theory, n-heptane alkane isomers.

[1] Ivan Gutman and JelenaTosovic, Testing the equality of molecular structure descriptors. Vertex-degree-based topological indices, J. Serb. Chem. Soc.78(6)805-810(2013).
[2] Ivan Gutman, Boris Furtula and Clive Elphick, Three New/Old Vertex-Degree-Based Topological Indices, MATCH Commun.Math. Comput.chem.72(2014) 617-632.
[3] Ivan Gutman, Degree-based topological indices, Croat.Chem.Acta,86(4)(2013)251-361.
[4] MojtabaShamshipur, BahramHemmateenejad and MortezaAkhond, Highly correlating Distance/Connectivity-Based Topological Indices. 1: QSPR Studies of Alkane ,Bull.Korean Chem.Soc.2004,Vol.25,NO.2, 253-259.
[5] N.K.Raut, Degree Based Topological Indices of Isomers of Organic Compounds,International Journal of scientific and Research Publications, Volume 4, Issue 8, August 2014.

Abstract: Let be a graph. A subset of is called a boundary dominating set of if every vertex in is vertex boundary dominated by some vertex in . The minimum taken over all boundary dominating sets of is called the boundary domination number of and is denoted by . In this paper, we introduce the boundary domination and the boundary domatic number db (G) in Middle graph.
Keywords:Boundary dominating set, Boundary domination number, Boundary domatic number, Middle graph.

[1]. : G. Chartrand, David Erwin, G. L. Johns and P. Zhang, On boundary vertices in graphs, J. Combin. Math. Combin.Comput., 48 (2004), 39-53.
[2]. G. Chartrand, David Erwin, G. L. Johns and P. Zhang, Boundary vertices in graphs, Disc. Math., 263 (2003), 25-34.
[3]. T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of domination in graphs, Marcel-Dekker, Inc., 1997.
[4]. KM. Kathiresan, G. Marimuthu and M. Sivanandha Saraswathy, Boundary domination in graphs, Kragujevac J. Math. 33 (2010) 63-70.
[5]. N. Murugesan, Deepa. S. Nair, (1,2) - domination in Middle and Central Graph of K1,n , Cn and Pn , Applied Mathematics 2013, 3(4): 144-151.

Abstract: In his paper a deterministic two warehouse inventory model for single instantaneous deteriorating items has been developed under assumption that the inventory cost (including holding cost and deterioration cost) in RW (Rented Warehouse) is higher than those in OW (Owned Warehouse) due to better preservation facilities in RW. Also considering equal deterioration in both warehouses has been discussed as a special case of the model with other cases as well. The demand and holding cost, both are taken as time dependent.
Keywords: Two warehouses, deterioration, Time-dependent Demand, Variable holding cost

[1]. Bhunia, A.K. & Maiti, M. (1998). A two-warehouse inventory model for deteriorating items with a linear trend in demand and shortages, JORS, 49, 287-292.
[2]. Bierman, H.J. and Thomas, J. (1977): Inventory decisions under inflationary conditions. Decision Sciences, 8(1), 151-155.
[3]. Bose, S., Goswami, A., Chaudhuri, K.S. (1995): An EOQ model for deteriorating items with linear time dependent demand rate and shortage under inflation and time discounting. J.O.R.S., 46, 777-782.
[4]. Buzacott, J.A. (1975): Economic order quantities with inflation. Operational Research Quarterly, 26, 553-558.
[5]. Dave, U. (1988) On the EOQ models with two levels of storage, Opsearch 25 190-196.

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

[1]. Akhtar, P. Md. and Sarma, K.L.A.P. (2004). "Optimization of CASP-CUSUM
[2]. Schemes based on Truncated Gamma Distribution". Bulletin of Pure and applied sciences, Vol-23E (No.2):215-223.
[3]. 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.

[4]. 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.
[5]. Jain, M.K. Iyengar, S.R.K. and Jain, R.K. "Numerical Methods of Scientific and Engineering Computations", Willy Eastern Ltd., New Delhi.

Abstract: Inventory models are developed with stock dependent quadratic demand under inflation for perishable items. It is assumed that the deterioration rate is constant. The solution of the model is obtained using the procedure of standard Reccati differential equation. The effect of inflation on the system total profit is studied for items having inventory level dependent quadratic demand. The model is tested through a hypothetical example. At last, the sensitivity of the model is presented and analyzed.
Keywords: Quadratic demand, inflation, stock dependent, perishable, inventory

[1]. Levin, R.I., McLaughlin, C.P., Lamone, R.P., and Kottas, J.F.(1972), Productions / Operations Management: Contemporary Policy for Managing Operating Systems, McGraw-Hill, New York, pp. 373.
[2]. Silver, E.A. and Peterson, R.(1985), Decision Systems for Inventory Management and Production Planning, 2nd Edition Wiley, New
[3]. York.
[4]. Gupta, R. and Vrat, P.(1986), Inventory model with multi-items under constraint systems for stock dependent consumption rate, Operations Research, 24, 41–42.
[5]. Baker, R.C. & Urban, T.L.(1988), A deterministic inventory system with an inventory level dependent demand rate, Journal of the Operational Research Society, 39, 823-831.

Abstract: This article examines the accuracy and forecasting performance of volatility models for the Sudanese Pound SDG/USA dollars exchange rate return, including the ARMA, Generalized Autoregressive Conditional Heteroscedasticity (GARCH), and Asymmetric GARCH models with normal and non-normal (student's t) distributions. In fitting these models to the monthly exchange rate returns data over the period January 1999 to December 2013, we found that, the Asymmetric.........

[1]. Abdelaziz Gibreel Mohammed November 2008 Modeling and Forecasting Agricultural Commodity Prices in Sudan Using Autoregressive Conditional Heteroskedasticity
[2]. Adjasi, C., H. S. A. D. (2008). "Effect of exchange rate volatility on the Ghana stock exchange‟, African Journal of Accounting, Economics, Finance and Banking Research. 3, 28–47.
[3]. Aggarwal, R., (1981). "Exchange Rates and Stock Prices: A Study of the US Capital Markets under Floating Exchange Rates"Akron Business and Economic Review,
[4]. Alberg, D., Shalit, H. and Yosef, R. (2008). Estimating stock market volatility using asymmetric GARCH models. Applied Financial Economics, 18, 1201-1208.