Applied Mathematics

This paper presents an inventory model for deteriorating item having price dependent demand and partial backlogging. The study of inventory system with deteriorating item has a special significance as it influences the profit and revenue of a retailer. It has been observed that some time item does not start to deteriorates as it comes to the storage so we have consider non instantaneous deteriorating item and its rate of deterioration varies linearly with time. The proposed model has been developed to determine optimal order quantity and optimal selling price for which profit can be maximized. The model is solved analytically by maximizing the total average profit. Sensitiveness of the parameter has been tested by sensitivity analysis and numerical example has been illustrated to explore the solution of the model.

Half a variable coefficient model is a variable coefficient model, this paper mainly discusses the useful promotion in linear equality constraints in the second half of variable coefficient model parameter estimation problem, this paper presents parameters in part equality constraints under double parameters of the conjugate gradient method and the parameters of part estimate, on the double parameters conjugate gradient method of the decline of the projection and convergence is proved by an example, the algorithm of the optimal inspection benign.

Yilmag and Cahit defined Ek – cordial labelling of graphs by combining k-equitable labelling and edge-graceful labelling of graphs. In this paper, we investigate the Ek - Cordial labeling of the graphs.

In this paper we introduce the new type of transportation problem called South east corner rule . We solve the transportation problem using OR approach in analysis ,design phases and we use the java programming language to model the problem . The results obtain from both solutions are compared to make analysis & prove the object oriented model correctness . We proved that the both results are identical & have the same results when solving the problem using the south east corner rule .

In this study, we consider natural convection in a cubic enclosure with the heater and window placed on opposite ends of adjacent vertical walls. For analysis a complete set of non-dimensional equations governing a Newtonian fluid and boundary conditions are recast into velocity or vector potential to eliminate the need for solving the continuity equation. The governing equation with the boundary equations are then descritized using three point central and forward difference approximation for non-uniform mesh. The resulting finite difference equations are then solved using Matlab computer software. The solutions shall be presented at the Reynolds number 2,000 with Prandtl number 0.71. The results are discussed and presented in graphical forms. The room is divided into two regions with those near the heater having high temperatures as those near the window have low temperatures. Mixing of hot and cold fluid and turbulence makes the other areas warm.

Lo[14 ] introduced the notion of edge-graceful graphs. In this paper, we extend this to bi-edge and global edge-graceful graphs. Here, we completely characterized the global edge-graceful graphs.

We have to make comparison among differential transformation method (DTM) and Homotopy Perturbation Method (HPM). We provide two examples in order to compare our results and find exact solutions also. The numerical examples show that the DTM is a good method compared to the HPM since it is effective, uses less time in computation, easy to implement and achieve high accuracy. From the numerical results, DTM is suitable to apply for nonlinear problems. Numerical results show that DTM is a promising and powerful tool for solving the higher-order boundary value problems as compared to HPM.

Mean labeling of graphs was discussed in [24-28].Different kinds of mean labeling were discussed in [17]. In this paper, we have proved the Cycle related mean graphs.

In this paper, we study some of the properties of interval valued fuzzy subhemiring of a hemiring and prove some results on these.

A groupoid is medial if it satis_es the identity wx • yz = wy • xz. A groupoid is trimedial if every subgroupoid generated by 3 elements is medial. Medial groupoids and quasigroups have also been called abelian, entropic, and other names, while trimedial quasigroups have also been called triabelian, terentropic, etc. (See [5], especially p. 120, for further background). The notion of variety of algebras having the property (k, n) was given in [6] and equationally defined classes of cancellative groupoids having the property (2, 4) and (2, 5) were considered there. This notion was qeneralized in [7], where it was shown that the condition of the cancellativity is superfluous, that is, any variety of groupoids with the property (2, n) is a variety of quasigroups. Let k and n be two positive integers and k n. An algebra A is said to have the property (k, n) if every subalgebra of A generated by k distinct elements has exactly n elements. We also say that A is a (k, n)-algebra. A class K of algebras is said to be a (k, n)-class if every algebra in K is a (k, n)-algebra. A variety is called a (k, n)-variety if it is a (k, n)-class of algebras. Trivially, the variety of Steiner quasigroups (xx = x, xy = yx, x•xy = y) is a (2, 3)-variety. It is the unique variety of groupoids with the stated property, and the same holds for the (2, 4)-variety (x•xy = yx, xy•yx = x) given by Padmanabhan in [6]. He has also constructed two (2, 5)-varieties. One of them is commutative (xy = yx, x(y•xy) = y, x(x•xy) = y•xy), while the other one (x•xy = y, xy•y = yx) consists of anticommutative quasigroups. It is an verify the existence of (2, n)-varieties for n?10