Showing papers in "Mathematical and Computer Modelling in 2005"

TL;DR: The method of grey related analysis to this problem, using interval fuzzy numbers, standardizes inputs through norms of interval number vectors to apply multiplicative operations over interval numbers.

TL;DR: The results allow us to propose the possibility of optimized cancer treatment therapies, based upon a coupled anti-angiogenic/chemotherapy strategy-the anti-Angiogenesis treatment would be used to optimize network efficiency, thereby maximizing drug uptake during subsequent chemotherapy treatments.

TL;DR: To determine the optimal order quantity a new methodology is developed for this model in presence of fuzzy random variable demand where the optimum is achieved using a graded mean integration representation.

TL;DR: Numerical procedures are developed for identifying the unknown control parameter which produces, at any given time, a desired energy distribution in the spatial domain, or a desired temperature distribution at a given point in theatial domain.

TL;DR: By analyzing these similarity measures, it is shown that they are not reasonable in some cases and some new methods for measuring the degree of similarity between intuitionistic fuzzy sets and between elements are proposed and their properties are discussed.

TL;DR: The numerical difficulties related to the appearance of the so-called wet/dry fronts that may occur during the simulation of free-surface waves in shallow fluids and internal waves in stratified fluids composed by two shallow layers of immiscible liquids are dealt with.

TL;DR: Values of net charge, charge distribution and dipole moment components are obtained for the tubulin heterodimer for molecular dynamics computations based on the atomic resolution structure of tubulin.

TL;DR: In this note, simplecticity conditions easy to handle for constructing symplectic Runge-Kutta-Nystrom methods fitted to trigonometric functions are given.

TL;DR: A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in Biological bodies as a thermoporoelastic media and the proposed numerical techniques are efficient.

TL;DR: The existence of the stochastic decomposition property is demonstrated to show that the departure point queue size distribution of this model can be decomposed into the distributions of three independent random variables.

TL;DR: Using topological degree, the existence of the nonconstant positive steady-states of a predator-prey system with Beddington-De Angelis functional response and diffusion is established.

TL;DR: This paper deals with a single server retrial queue with a finite number of homogeneous sources of calls and a single nonreliable server, which means that the server is subject to random breakdowns depending on whether it is busy or idle.

TL;DR: The resulting system of linear algebraic equations is ill-conditioned and, therefore, its solution is regularized by employing the 0^t^h-order Tikhonov functional, while the choice of the regularization parameter is based on the L-curve method.

TL;DR: A new model within the data envelopment analysis framework for prioritizing information system (IS) projects is presented that provides fair and equitable ranking, it is complex enough to model the problem reasonably and accurately and yet simple enough to be understood by the user community.

TL;DR: It is shown that the sensor-constrained version of the problem is polynomially equivalent to the asymmetric k-center problem and that the time- Constrained versions of the problems are polyno-magnificent to the dominating set problem.

TL;DR: A scheduling problem in which the processing time of a job is an increasing function of its position in the sequence (rather than its starting time), and it is shown that an optimal schedule is V-shaped with respect to job processing times.

TL;DR: Six types of unsteady flows are examined, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows inducing by plate motions, flow imposed by a flat plate that applies a constant tangential stress to the fluid, and flow generated by an oscillating rigid plate.

TL;DR: This paper studies the vacation policy of an M/G/1 queueing system with an unreliable server and startup and calls the policy modified T vacation policy, which is assumed that the server breaks down according to a Poisson process and his repair time has a general distribution.

TL;DR: This paper addresses a mixed integer MDMTSFLP formulation, expanded to include vehicle range and multiple service-frequency requirements, and shows that several depots of the DCS may be closed without a large increase of routing cost.

TL;DR: An involute zone is provided in the central area of gear tooth surfaces that will allow line contact if misalignment does not occur and allows localization of the bearing contact when misalignments occur.

TL;DR: For application to unconstrained pitching and plunging motion of an airfoil, multi-POD is shown to be effective when trained for forced grid motion, reducing the training requirements significantly.

TL;DR: The feasibility of applying the Adomian decomposition method in dealing with the nonlinear deflection equation in the micro-actuator problem is investigated and the calculated results agreed well with those from the literature.

TL;DR: An excitable model of phytoplankton-zooplankton dynamics is considered for the case of lysogenic viral infection of the phy Topolankton population and noise can enhance the survival and spread of susceptibles and infected that would go extinct in a deterministic environment.

TL;DR: This paper presents an integer programming approach to production scheduling in make-to-order environment with various due date related performance measures and some computational results with the proposed approach are reported.

TL;DR: It is shown that the Shannon's entropy of the distribution of the populations of photons and electrons reproduces the laser stability curve, in agreement with the theoretical predictions from the laser rate equations and with the experimental results.

TL;DR: The model of competition between a single cell cancer and the immune system is a system of integro-differential bilinear equations and it describes both very early stage of a solid tumor and all stages of leukemias.

TL;DR: The stationary queue length distribution and mean system size have been obtained by using matrix geometric method and the busy period analysis of the Markovian queue with two heterogeneous servers and multiple vacations is discussed.

TL;DR: A Fourier series approximation method is proposed to approximate the pitch curve and a mathematical model of the tooth profile of noncircular gears is derived that is very flexible with sufficient accuracy and can also be used to process the reverse engineering problem of the existing non Circular gears.

TL;DR: A trigonometrically-fitted Runge-Kutta method for the numerical integration of orbital problems is developed and theoretical and numerical results obtained show the efficiency of the method.

TL;DR: Equilibrium solutions of the proposed network dynamics satisfy the Wardrop user equilibria and are proved to be asymptotically stable by using the stability theorem of Lyapunov.