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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

Table of Contents

Math. Comput. Appl., Volume 10, Issue 2 (August 2005) , Pages 165-305

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Open AccessArticle Heuristic Approach for N-Job, 3-Machine Flow Shop Scheduling Problem Involving Transportation Time, Break Down Time and Weights of Jobs
Math. Comput. Appl. 2005, 10(2), 301-305; https://doi.org/10.3390/mca10020301
Published: 1 August 2005
Cited by 5 | Viewed by 557 | PDF Full-text (100 KB)
Abstract
This paper provides a new simple heuristic algorithm for a ‘3-Machine, n-job’ flow-shop scheduling problem in which jobs are attached with weights to indicate their relative importance and the transportation time and break down intervals of machine are given. A heuristic approach method [...] Read more.
This paper provides a new simple heuristic algorithm for a ‘3-Machine, n-job’ flow-shop scheduling problem in which jobs are attached with weights to indicate their relative importance and the transportation time and break down intervals of machine are given. A heuristic approach method to find optimal or near optimal sequence minimizing the total weighted mean production flow time for the problem has been discussed. Full article
Open AccessArticle Direct Excitation of H(2P) Atoms due to Collisions with Protons and Antiprotons
Math. Comput. Appl. 2005, 10(2), 291-299; https://doi.org/10.3390/mca10020291
Published: 1 August 2005
Viewed by 407 | PDF Full-text (230 KB)
Abstract
Excitation of hydrogen atoms, being initially in the excited 2p state by colliding with protons (p) and antiprotons (p) is investigated within the impact parameter method. The calculation involves the n = 1,2,3,4 states of the target in addition to considers previously, in [...] Read more.
Excitation of hydrogen atoms, being initially in the excited 2p state by colliding with protons (p) and antiprotons (p) is investigated within the impact parameter method. The calculation involves the n = 1,2,3,4 states of the target in addition to considers previously, in an incident energy range from 3 keV to 1000 keV. The effect of the electric charge of the projectile on the collision is discussed. Full article
Open AccessArticle Stochastic Approximation with Compound Delayed Observations
Math. Comput. Appl. 2005, 10(2), 283-289; https://doi.org/10.3390/mca10020283
Published: 1 August 2005
Viewed by 483 | PDF Full-text (143 KB)
Abstract
The Robbins-Monro stochastic approximation procedure is modified so as to be applicable in the presence of compound delayed observations. The efficiency of the modified procedure is investigated. The asymptotic values of the efficiency are compared with those obtained by an approximation based on [...] Read more.
The Robbins-Monro stochastic approximation procedure is modified so as to be applicable in the presence of compound delayed observations. The efficiency of the modified procedure is investigated. The asymptotic values of the efficiency are compared with those obtained by an approximation based on geometric distribution. Full article
Open AccessArticle On the Modified Newton’s Method for the Solution of a Class of Nonlinear Singular Integro-Differential Equations
Math. Comput. Appl. 2005, 10(2), 269-281; https://doi.org/10.3390/mca10020269
Published: 1 August 2005
Viewed by 365 | PDF Full-text (214 KB)
Abstract
In this paper we investigate the solvability of a certain class of nonlinear singular integro-differential equations with Cauchy kernel in the usual Holder space and its generalization by producing the sufficient conditions for the convergence of the modified Newton's method. Full article
Open AccessArticle Electromagnetic Properties of Z and γ Self-Couplings Interactions
Math. Comput. Appl. 2005, 10(2), 261-267; https://doi.org/10.3390/mca10020261
Published: 1 August 2005
Viewed by 393 | PDF Full-text (134 KB)
Abstract
The couplings of three gauge bosons ZZγ*, Zγγ* , ZγZ* and ZZZ* are found in the electroweak standard model at one loop level. Bosonic one loop diagrams do not contribute to these couplings and [...] Read more.
The couplings of three gauge bosons ZZγ* , Zγγ* , ZγZ* and ZZZ* are found in the electroweak standard model at one loop level. Bosonic one loop diagrams do not contribute to these couplings and only fermionic contributions survive. Ward identities and Bose symmetry are checked. Only the anapole dipole moment characterizes the electromagnetic properties of ZZγ* , Zγγ*, ZγZ*, and ZZZ* interactions. Full article
Open AccessArticle Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown
Math. Comput. Appl. 2005, 10(2), 249-259; https://doi.org/10.3390/mca10020249
Published: 1 August 2005
Cited by 2 | Viewed by 485 | PDF Full-text (203 KB)
Abstract
An extensive Monte Carlo study is performed to analyze a multi-server, bulk arrival (M [x]M/C; C-1/FCFS) queuing system. The system breakdown limits the system to serve with either C or (C-1) servers. The server breakdown has equal chance over all servers in [...] Read more.
An extensive Monte Carlo study is performed to analyze a multi-server, bulk arrival (M [x]M/C; C-1/FCFS) queuing system. The system breakdown limits the system to serve with either C or (C-1) servers. The server breakdown has equal chance over all servers in the system while the arrival process is a Poisson process and the distribution of the bulk size X is a positive Poisson bulk size. Measures of system efficiency including mean queue length, mean waiting time, and blocking probability are introduced. Numerical results are obtained by simulation of the entire system. Full article
Open AccessArticle Evaluation of Certain Class of Eulerian Integrals of Multivariable Sister Celine’s Polynomials
Math. Comput. Appl. 2005, 10(2), 239-248; https://doi.org/10.3390/mca10020239
Published: 1 August 2005
Viewed by 435 | PDF Full-text (400 KB)
Abstract
In this paper, we evaluate a key Eulerian integral involving Sister Celine's polynomials of several complex variables defines by the author. Our general Eulerian intergral formula are shown to provide the key formula from which numerous other potentially useful results involving polynomials such [...] Read more.
In this paper, we evaluate a key Eulerian integral involving Sister Celine's polynomials of several complex variables defines by the author. Our general Eulerian intergral formula are shown to provide the key formula from which numerous other potentially useful results involving polynomials such as Jacobi, Laguerre, Hermite, Bessel, Bateman, Rice etc and also discrete polynomials like Hahn, Krawtchouk, Pasternak, Meixner, Poisson-Charlier are derived. Full article
Open AccessArticle Fundamental Theorems for the Hyperbolic Geodesic Triangles
Math. Comput. Appl. 2005, 10(2), 231-238; https://doi.org/10.3390/mca10020231
Published: 1 August 2005
Viewed by 494 | PDF Full-text (204 KB)
Abstract
In this work, we state and prove the sine, cosine I, cosine II, sine-cosine and cotangent rules for spherical triangles on the hyperbolic unit sphere H02 in the Lorentzian space R13. Full article
Open AccessArticle Similarity Reduction of Energy-Transport Models for Semiconductors
Math. Comput. Appl. 2005, 10(2), 221-230; https://doi.org/10.3390/mca10020221
Published: 1 August 2005
Cited by 1 | Viewed by 417 | PDF Full-text (194 KB)
Abstract
The main purpose of this work is to perform symmetry classification of a system of partial differential equations for energy-transport in semiconductors. In the case where there are symmetries, they are used to reduce the number of independent variables which in turn enables [...] Read more.
The main purpose of this work is to perform symmetry classification of a system of partial differential equations for energy-transport in semiconductors. In the case where there are symmetries, they are used to reduce the number of independent variables which in turn enables one to construct invariant solutions. Invariant solutions of a given equation satisfy an equation with fewer independent variables. Thus, the search of invariant solutions can be viewed as a sort of dimensional reduction. From a computational standpoint, the reduced system is easier to analyse both numerically and analytically than the original system. Full article
Open AccessArticle Fuzzy Goal Programming Approach on Computation of the Fuzzy Arithmetic Mean
Math. Comput. Appl. 2005, 10(2), 211-220; https://doi.org/10.3390/mca10020211
Published: 1 August 2005
Cited by 1 | Viewed by 415 | PDF Full-text (176 KB)
Abstract
In the traditional way of computing the arithmetic mean, there are various alternatives that support the same objective. Since the proposal of fuzzy sets by Zadeh, Bellman and Zadeh have developed a basic framework for decision-making in a fuzzy environment and investigated the [...] Read more.
In the traditional way of computing the arithmetic mean, there are various alternatives that support the same objective. Since the proposal of fuzzy sets by Zadeh, Bellman and Zadeh have developed a basic framework for decision-making in a fuzzy environment and investigated the fuzzy c-mean and the fuzzy weighted averages. The fuzzy c-mean is an extension of the c-mean that is widely applied to cluster algorithm. The fuzzy weighted averages extend the normal weighted mean by using the concept of fuzzy numbers and the extension principle. The fuzzy arithmetic mean is an extension of the normal arithmetic mean. The Goal Programming, which is used to solve the multiple objective decision problems, has wide and great potential among other methods targeting maximization or minimization of goals. The goal programming aims to minimize the biases from each objective, instead of optimizing of goals. In this study we do introduce a new approach to the computation of fuzzy arithmetic mean powered by fuzzy goal programming, named GUMAR. Full article
Open AccessArticle Hyperbolic Sine and Cosine Rules for Geodesic Triangles on the Hyperbolic Unit Sphere \(H_{0}^{2}\)
Math. Comput. Appl. 2005, 10(2), 203-209; https://doi.org/10.3390/mca10020203
Published: 1 August 2005
Viewed by 465 | PDF Full-text (224 KB)
Abstract
In plane Lorentzian geometry it is studied points, timelike, spacelike and lightlike lines, triangles, etc [4]. On the hyperbolic sphere, there are points, but there are no straight lines, at least not in the usual sense. However, straight timelike lines in the Lorentzian [...] Read more.
In plane Lorentzian geometry it is studied points, timelike, spacelike and lightlike lines, triangles, etc [4]. On the hyperbolic sphere, there are points, but there are no straight lines, at least not in the usual sense. However, straight timelike lines in the Lorentzian plane are characterized by the fact that they are the shortest paths between points. The curves on the hyperbolic sphere with the same property are hyperbolic circles. Thus it is natural to use these circles as replacements for timelike lines. The formulas for the sine and cosine rules are given for the Euclidean sphere 2 S [2, 3, 6] and hyperbolic sphere [5]. In this study, we obtained formulas related with the spacelike angles and hyperbolic angles corresponding to the sides of geodesic triangles on hyperbolic unit sphere \(H_{0}^{2}\). Full article
Open AccessArticle The Sine and Cosine Rules for Pure Triangles on the Dual Lorentzian Unit Sphere
Math. Comput. Appl. 2005, 10(2), 193-201; https://doi.org/10.3390/mca10020193
Published: 1 August 2005
Viewed by 388 | PDF Full-text (215 KB)
Abstract
In this work, we proved the sine and cosine rules for a spherical pure triangle on the dual Lorentzian unit sphere S˜12 in the dual Lorentzian space D13. [...] Read more.
In this work, we proved the sine and cosine rules for a spherical pure triangle on the dual Lorentzian unit sphere S ˜ 1 2 in the dual Lorentzian space D13. Full article
Open AccessArticle The Identification of Nondominated and Efficient Paths on a Network
Math. Comput. Appl. 2005, 10(2), 185-191; https://doi.org/10.3390/mca10020185
Published: 1 August 2005
Viewed by 429 | PDF Full-text (141 KB)
Abstract
In this paper, we present an application of 0-1 linear programming problem in the indentification of the nondominated paths on a network. To find efficient paths, an adaptationof the Additive model, which called Additive model without output, is used. Full article
Open AccessArticle 0-→0+ First Forbidden β-Decay Matrix Elements in Spherical Nuclei
Math. Comput. Appl. 2005, 10(2), 179-184; https://doi.org/10.3390/mca10020179
Published: 1 August 2005
Viewed by 466 | PDF Full-text (189 KB)
Abstract
In this study, the first forbidden beta decay matrix elements have been directly calculated within Saxon-Woods potential. Procedures for calculating the relevant matrix elements and combining them to form the decay rate are described. Calculations have been performed by two different methods. The [...] Read more.
In this study, the first forbidden beta decay matrix elements have been directly calculated within Saxon-Woods potential. Procedures for calculating the relevant matrix elements and combining them to form the decay rate are described. Calculations have been performed by two different methods. The values of our single particle matrix elements have been compared with the calculated values in the two different tables. Full article
Open AccessArticle A New Modified Goodness of Fit Tests for Type 2 Censored Sample from Normal Population
Math. Comput. Appl. 2005, 10(2), 165-177; https://doi.org/10.3390/mca10020165
Published: 1 August 2005
Cited by 2 | Viewed by 449 | PDF Full-text (172 KB)
Abstract
In this paper a procedure is considered for a new modified goodness of fit test for the normal type2 censored population. Samples of sizes 10(10)60 are chosen and censored at a specified percentage. Cramer von Mises and Anderson Darling test statistics are used [...] Read more.
In this paper a procedure is considered for a new modified goodness of fit test for the normal type2 censored population. Samples of sizes 10(10)60 are chosen and censored at a specified percentage. Cramer von Mises and Anderson Darling test statistics are used with a nonparametric density estimator in place of the empirical distribution function. Tables of critical values for the two tests are generated. The power of the tests for nine alternative distributions is shown. Results show high power of discriminating the alternatives. Full article
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