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Volume 18
Issue 2
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Math. Comput. Appl., Volume 18, Issue 2 (August 2013) – 7 articles , Pages 71-138

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403 KiB  
Article
Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework
by Leopoldo Eduardo Cárdenas-Barrón, Biswajit Sarkar and Gerardo Treviño-Garza
Math. Comput. Appl. 2013, 18(2), 132-138; https://doi.org/10.3390/mca18020132 - 01 Aug 2013
Cited by 44 | Viewed by 1604
Abstract
Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They [...] Read more.
Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They solve the inventory problem by considering both variables as continuous. However, the number of shipments must be considered as discrete variable. In this direction, this paper revisits and solves the inventory problem of [1-2] considering the decision variables according to their nature. Two easy and improved algorithms are proposed which simplify and complement the research works of [1-2]. Full article
534 KiB  
Article
Finite Element Modeling of Friction Stir Welding in Aluminum Alloys Joint
by Binnur Gören Kıral, Mustafa Tabanoğlu and H. Tarık Serindağ
Math. Comput. Appl. 2013, 18(2), 122-131; https://doi.org/10.3390/mca18020122 - 01 Aug 2013
Cited by 39 | Viewed by 2990
Abstract
This study aims to model friction stir welding of the aluminum alloys using the finite element method. For this purpose, transient thermal finite element analyses are performed in order to obtain the temperature distribution in the welded aluminum plate during the welding operation. [...] Read more.
This study aims to model friction stir welding of the aluminum alloys using the finite element method. For this purpose, transient thermal finite element analyses are performed in order to obtain the temperature distribution in the welded aluminum plate during the welding operation. Heat input from the tool shoulder and the tool pin are considered in the finite element model. A moving heat source with a heat distribution simulating the heat generated from the friction between the tool shoulder and the work piece is used in the heat transfer analysis. Three-dimensional models are carried out by using ANSYS and HyperXtrude commercial softwares. APDL (ANSYS Parametric Design Language) code is developed to model moving heat source and change boundary conditions. Full article
408 KiB  
Article
Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption
by Shu-Hong Yang, Chui-Gui Li, Dong-Xue Xia, Meng Wang and Xiao-Rong Wang
Math. Comput. Appl. 2013, 18(2), 112-121; https://doi.org/10.3390/mca18020112 - 01 Aug 2013
Viewed by 1290
Abstract
In this paper, we present a new lattice model of traffic flow by considering the effects of traffic interruption probability. The stability condition of the proposed model is obtained by employing the linear stability theory. The results show that the stability of traffic [...] Read more.
In this paper, we present a new lattice model of traffic flow by considering the effects of traffic interruption probability. The stability condition of the proposed model is obtained by employing the linear stability theory. The results show that the stability of traffic flow is improved by considering the influence of traffic interruption. Applying the method of nonlinear analysis, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic behavior near the critical point. The kink- antikink soliton and the solution of the mKdV equation are obtained to describe the traffic jams. The good agreement between theoretical analysis and numerical simulation indicates that our new consideration can stabilize the traffic flow effectively. Full article
226 KiB  
Article
New Exact Solutions of the (2+1)-Dimensional Ginzburg-Landau Equation
by Ye-qiong Shi
Math. Comput. Appl. 2013, 18(2), 103-111; https://doi.org/10.3390/mca18020103 - 01 Aug 2013
Viewed by 1078
Abstract
A novel identical reforming of differential equation and the high order auxiliary methods are used to construct solitary solutions and periodic solutions of (2 + 1)-Dimensional Ginzburg-Landau equation. It is shown that the high order auxiliary method, with the help of symbolic computation, [...] Read more.
A novel identical reforming of differential equation and the high order auxiliary methods are used to construct solitary solutions and periodic solutions of (2 + 1)-Dimensional Ginzburg-Landau equation. It is shown that the high order auxiliary method, with the help of symbolic computation, provides a powerful mathematical tool for solving nonlinear equations arising in mathematical physics. Full article
519 KiB  
Article
Optimal Restricted Designs for the Inverse Gaussian Mean
by Sevil Bacanlı
Math. Comput. Appl. 2013, 18(2), 94-102; https://doi.org/10.3390/mca18020094 - 01 Aug 2013
Viewed by 828
Abstract
This study deals with the development of optimal restricted two and three stage designs when response variable has an inverse Gaussian distribution with known scale parameter. Full article
406 KiB  
Article
Some I-Convergent Sequence Spaces of Fuzzy Numbers Defined by Infinite Matrix
by Ekrem Savaş
Math. Comput. Appl. 2013, 18(2), 84-93; https://doi.org/10.3390/mca18020084 - 01 Aug 2013
Cited by 6 | Viewed by 1184
Abstract
In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related [...] Read more.
In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces. Full article
3673 KiB  
Article
Vibration Characteristics Analysis of the Rub- Impact Rotor System with Mass Unbalance
by Jiu-Hong Jia and Tian-Qi Hang
Math. Comput. Appl. 2013, 18(2), 71-83; https://doi.org/10.3390/mca18020071 - 01 Aug 2013
Viewed by 1306
Abstract
In this paper, vibration characteristics of a rub-impact Jeffcott rotor system excited by mass unbalance including the eccentric mass and the initial permanent deflection are investigated. Through the numerical calculation, rotating speeds, mass eccentricities, initial permanent deflections and phase angles between the eccentric [...] Read more.
In this paper, vibration characteristics of a rub-impact Jeffcott rotor system excited by mass unbalance including the eccentric mass and the initial permanent deflection are investigated. Through the numerical calculation, rotating speeds, mass eccentricities, initial permanent deflections and phase angles between the eccentric mass direction and the rotor initial permanent deflection direction are used as control parameters to investigate their effect on the rub-impact rotor system with the help of bifurcation diagrams, Poincare maps, frequency spectrums and orbit maps. Result shows that these two kinds of mass unbalance have great but different effect on the dynamic characteristic of the rubbing rotor system. Different motion characteristics appear with the varying of these control parameters, and complicated motions such as periodic and quasi-periodic vibrations are observed. Corresponding results can be used to diagnose the rub-impact fault and decrease the effect of rub impact in the rotor system with mass unbalance. Full article
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