• Title/Summary/Keyword: System solution

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Periodic Solutions of a System of Piecewise Linear Difference Equations

  • Tikjha, Wirot;Lapierre, Evelina
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.401-413
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    • 2020
  • In this article we consider the following system of piecewise linear difference equations: xn+1 = |xn| - yn - 1 and yn+1 = xn + |yn| - 1. We show that when the initial condition is an element of the closed second or fourth quadrant the solution to the system is either a prime period-3 solution or one of two prime period-4 solutions.

A Determination on Optimal Configuration of Flexible Manufacturing System (유연생산시스템의 최적구성 결정)

  • 장진익;김원중
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.24 no.67
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    • pp.19-26
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    • 2001
  • A design issue for a flexible manufacturing system is to find the number of each resource type which assures a given production ratio with a minimal cost. The FMS is modeled as a closed queueing network with a local buffer of limited capacity. An efficient method to determine this optical configuration is presented. The proposed method consists of three steps : 1) determine a lower configuration, 2) derive a heuristic solution, 3) find the optimal solution. The derived heuristic solutions are close to the optical solution.

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Cycle Analysis of Hot Water Driven Absorption Refrigerator with New Working Absorption Solution (신흡수용액을 이용한 중온수 흡수식 냉동기의 사이클 해석)

  • Gwon, O-Gyeong;Yun, Jae-Ho;Mun, Chun-Geun;Yun, Jeong-In
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.9
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    • pp.1241-1248
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    • 2002
  • Performance extension of the absorption refrigerator with LiBr solution is often faced to operate very close to the crystallization limit. Especially in the development of an air-cooled cycle, the crystallization of working solution in the system is a very difficult problem to overcome. This paper describes the cycle of hot water driven absorption system using a new working absorption solution instead of LiBr solution to improve the efficiency. In this study, we found out the characteristics of new working absorption solution through the cycle simulation and compared LiBr solution to evaluate. The effect of cooling water temperature, weak solution flow rate, hot water temperature and hot water flow rate were also examined. The COP is increased 22% higher in the case of LiBr+Li1+LiC1+LiNO$_3$$H_2O$, 2% LiBr+HO(CH$_2$)$_3$OH+$H_2O$ than that of LiBr solution for the same operation condition.

Operating Characteristics of Ammonia-Water Absorber Heat Exchange Cycle (암모니아-물 흡수식 열교환 사이클의 운전 특성)

  • 강인석;김남진;김종보
    • Journal of Energy Engineering
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    • v.10 no.4
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    • pp.357-362
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    • 2001
  • A bench type ammonia-water absorber heat exchange cycle was tested by varying the system charging concentration, refrigerating valve opening and weak solution flow rate. It was observed that the cooling capacity was increased as the system charging concentration was increased. Optimum system charging concentration was found for the coolong capacity of the system. The opening rate of refrigerant expansion valve had a direct influence on the refrigerant sub-cooling at the condenser outlet. Optimum sub-cooling was found to be 0~4$^{\circ}C$. As the weak solution flow rate increased the concentration of strong solution and the evaporating pressure decreased. There existed a optimum weak solution flow rate which maximized the cooling capacity and COP.

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Heat and mass transfer characteristics of generator combined rectification system of the GAX ammonia absorption heat pump (GAX 암모니아 흡수식 열폄프의 발생기 일체형 정류기의 열 및 물질전달 해석)

  • 윤상국
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.4
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    • pp.431-439
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    • 1999
  • A generator-GAX combined rectification system of an ammonia absorption heat pump was investigated to get the optimum design values. The mass and heat transfer phenomena of the rectification system were analysed. The number of column plates, equilibrium temperature of solution on each plate and flow rates of solution and vapor generated were predicted. The characteristics of mass and heat transfer of the generator-GAX combined rectification system, i.e. concentration difference of leaving solution and vapor on each column plate, were found to be mainly governed by the pressure of generator, reflex ratio and temperature difference of analyser coolant. The number of rectification column plates for each different pressure in generator was obtained. The optimum locations for installing the feeder from solution-cooled absorber and GAX desorber in generator were predicted. The improvement of COP was followed by the increase of the rectifier efficiency and the number of column plate, and the decrease of reflex ratio.

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A CANONICAL REPRESENTATION FOR THE SOLUTION OF FUZZY LINEAR SYSTEM AND FUZZY LINEAR PROGRAMMING PROBLEM

  • NEHI HASSAN MISHMAST;MALEKI HAMID REZA;MASHINCHI MASHAALAH
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.345-354
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    • 2006
  • In this paper first, we find a canonical symmetrical trapezoidal(triangular) for the solution of the fuzzy linear system $A\tilde{x}=\tilde{b}$, where the elements in A and $\tilde{b}$ are crisp and arbitrary fuzzy numbers, respectively. Then, a model for fuzzy linear programming problem with fuzzy variables (FLPFV), in which, the right hand side of constraints are arbitrary numbers, and coefficients of the objective function and constraint matrix are regarded as crisp numbers, is discussed. A numerical procedure for calculating a canonical symmetrical trapezoidal representation for the solution of fuzzy linear system and the optimal solution of FLPFV, (if there exist) is proposed. Several examples illustrate these ideas.

Performance of Dual Polarized MIMO System using Six-Port Receiver for Cognitive Radio

  • Lee Sang-Yub;Yang Wan-Cheol;Lee Jeong-Suk;Kim Hak-Sun
    • Broadcasting and Media Magazine
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    • v.11 no.1
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    • pp.78-85
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    • 2006
  • Cognitive radio is a paradigm for wireless communication in which either network of wireless node itself changes particular transmission or reception parameters to execute its tasks efficiently without interfering with the licensed users. This paper represents a performance of the cognitive radio technology on dual polarized MIMO system using six-port receiver. Six-port technology is well known direct conversion receiver. In this paper, a six-port phase discriminator based polarization signal separation is shown. That is, the SER(Symbol Error Rate) performance is improved using polarization separator and simple receiver architecture is proposed applying six-port receiver. The six-port technology has priority to adapt changeable frequency system and variable environments for cognitive radio. In general, dual polarized MIMO system has good capacity and quality using polarization separator [1].

Effects of Charging Conditions on Evaporating Temperature for Diffusion Absorption Refrigerator (확산형 흡수식 냉장고에서 작동매체 충진조건이 증발온도에 미치는 영향)

  • 김선창;김영률;백종현;박승상
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.10
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    • pp.828-834
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    • 2003
  • A diffusion absorption refrigerator is a heat-generated refrigeration system. It uses a three-component working fluid consisting of the refrigerant (ammonia), the absorbent (water) and the auxiliary gas (hydrogen or helium). In this study, experimental investigations have been carried out to examine the effects of charging conditions of working fluids on the evaporating temperature for diffusion absorption refrigerator. Experimental parameters considered in the present experiments are charging concentration, solution charge and system pressure determined by auxiliary gas charged. As a result, in the charging condition of 35% of concentration and 20 kg$_{f}$cm$^2$ of system pressure, the system has the lowest evaporating temperature. It was found that there exists a minimum value of solution charge for the operation of diffusion absorption refrigerator.r.

A SYSTEM OF NONLINEAR PROJECTION EQUATIONS WITH PERTURBATION IN HILBERT SPACES

  • Zhou, Li-Wen;Cho, Yeol-Je;Huang, Nan-Jing
    • East Asian mathematical journal
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    • v.24 no.2
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    • pp.191-199
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    • 2008
  • In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approximating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the algorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions.

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SOLUTION OF THE SYSTEM OF FOURTH ORDER BOUNDARY VALUE PROBLEM USING REPRODUCING KERNEL SPACE

  • Akram, Ghazala;Ur Rehman, Hamood
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.55-63
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    • 2013
  • In this paper, a general technique is proposed for solving a system of fourth-order boundary value problems. The solution is given in the form of series and its approximate solution is obtained by truncating the series. Advantages of the method are that the representation of exact solution is obtained in a new reproducing kernel Hilbert space and accuracy of numerical computation is higher. Numerical results show that the method employed in the paper is valid. Numerical evidence is presented to show the applicability and superiority of the new method.