INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION
Year:2012 | Volume:2 | Issue:4|Papers Count:8

In this paper, we propose to extend the hierarchical bivariate Hermite Interpolant to the spherical case. Let T be an arbitrary spherical triangle of the unit sphere S and let u be a function defined over the triangle T. For kϵN, we consider a Hermite spherical Interpolant problem Hk defined by some data scheme Dk (u) and which admits a unique solution pk in the space Bnk (T) of homogeneous Bernstein-Bezier polynomials of degree nk=2 k (resp. nk=2k+1) defined on T. We discuss the case when the data scheme Dr(u) are nested, i.e., Dr-1 (u) ÌDr(u) for all 1£r£k. This, give a recursive formulae to compute the polynomialpk. Moreover, this decomposition give a new basis for the space Bnk (T), which are the hierarchical structure. The method is illustrated by a simple numerical example.

A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different servers state are obtained using supplementary variable technique. Some performance measures are calculated. Some particular cases are obtained and numerical examples are also presented.

In this paper, we apply fractional complex transform to convert the fractional nonlinear Schrodinger equations to the nonlinear Schrodinger equations.

In this study, a Taylor method is developed for numerically solving the high-order most general nonlinear Fredholm integro-differential-difference equations in terms of Taylor expansions. The method is based on transferring the equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with the unknown Taylor coefficients. Also, we test the method by numerical examples.

In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.

In this work, we will compare two approximation method based on hybrid Legendre and Block-Pulse functions and a computational method for solving nonlinear Fredholm- Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well-known Block-Pulse functions (BPfs) expansion.

The index is excellent by the Malmquist index as extended to productivity measurement. The index developed here is defined in terms of input cost rather than input quantity distance functions in supply chain. Therefore, we propose productivity change is decomposed into overall efficiency and cost technical change. These decompositions provide a clearer situation of the root sources of supply chain productivity change, so that illustrated here in a sample of supply chain; so that results are computed using non-parametric mathematical programming.

Attempts made in order to improve management tools of performance showing the importance of customer satisfaction in determining the organizations’ success in profitability and business. The main objective of this study was to develop appropriate strategies to improve patient satisfaction in one of the hospital in Tehran.The research was a descriptive-practical one. Data was collected through a brainstorming session, two questionnaires designed based on internal and external evaluation matrices standard framework and quantitative strategic programming matrix, and finally some changes were made. Having collected the data, vision and mission of the hospital were developed; then SWOT matrix of the hospital was formed and due to the hospital being placed in competitive position (ST), five strategies were considered necessary to improve the satisfaction of the hospital's patients.What was considered the most was appointing a strategy in order to attract specialists and efficient forces with a score of 5.56 and the least considered referred to the strategy of promoting the empowerment of newly-hired staff with a score of 2.96. The population of this study is comprised of experts and senior managers at one of the hospital in Tehran hospital in Tehran working in 2012 (N=16). Due to the limited number of population, sampling was not done. Tools of collecting data included brainstorming session and two questionnaires.