• Title/Summary/Keyword: Supermatrix

Search Result 5, Processing Time 0.023 seconds

Multiple-Criteria Decision-Making Using Sectional Supermatrix

  • Kameya, Nagayuki;Miyagi, Hayao;Taira, Naoyuki;Yamashita, Katsumi
    • Proceedings of the IEEK Conference
    • /
    • 2002.07b
    • /
    • pp.838-840
    • /
    • 2002
  • Presently, Analytic Network Process which evaluates man's intention and offers decision-making support is capturing the spotlight. It originates in the ability of Analytic Network Process to treat various decision-making support system. However, no detailed reference is available when dealing with the group case. This paper examines the technique, which can also cope with the group decision-making support system, and describes the validity of the technique. A characteristic feature of the proposed technique is that it can detect a group's intention in a given section, and it decomposes the sectional supermatrix into a small supermatrix and a large one. A general supermatrix treats the convergence value by taking the limiting process method of the power of an evaluation value. On the other hand, when a supermatrix has nonnegative value, it can easily be solved by the eigenvector method. The decomposition of the supermatrix has been considered in this work.

  • PDF

An Analytic Network Process Model for Ranking Decision of Intelligent Building System (지능형 빌딩 시스템(IBS)의 등급 결정을 위한 ANP 모형 -IBS 구현 이득을 기준으로-)

  • You, Su-Hyun;Kim, Sheung-Kown
    • IE interfaces
    • /
    • v.13 no.2
    • /
    • pp.234-245
    • /
    • 2000
  • In this paper, the conceptual framework of IBS(Intelligent Building Systems) is redefined, and we propose two ANP(Analytic Network Process) models for ranking IBS. Traditional models have ranked IBS according to technical features or the number of elements in IBS. But, we consider relative functional importance among IBS elements for efficient building operation. According to the structure of interactive-relationship among IBS elements, we present two types of model. The one is Model A that is composed of both hierarchical and network structures. It has $12{\times}12$ supermatrix consists of interdependent relationship between 6 benefit elements(Productivity, Saving, Safety, Convenience, Pleasantness, Environment Affinity) and 6 IBS elements(Building Operation, Security, Safety, Telecommunication(TC), Office Automation(OA), other elements). Each of 6 IBS elements has subelements in hierarchical structure. The other is Model B that has $25{\times}25$ supermatrix consists of interdependent relationship between 6 benefit elements and 19 IBS sub elements. Merits and demerits of each model are discussed in detail.

  • PDF

Design the Customer-oriented Marketing Decision Model using ANP (Analytic Network Process) (ANP를 이용한 고객 지향적 마케팅 의사결정 모델 설계)

  • Lee, Yong-Bok;Seo, Hyun-Soo;Yun, Deok-Kyun
    • Journal of Korean Society for Quality Management
    • /
    • v.33 no.2
    • /
    • pp.32-39
    • /
    • 2005
  • The Customer Satisfaction which effects directly the performance of almost all companies. Therefore, it is very important for a company to reflect totally market environment which can be changed fast and diversely by customer requirements. In spite of many studies on the marketing decision, it has been rarely applied for the quantitative method and result of Customer Satisfaction Index Assessment in the marketing decision process. This study used ANP(Analytic Network Process) approach permitting the interdependent relationship between hierarchy and decision factors in the decision process. Moreover, we propose the method which represents efficiently the Customer Satisfaction Index so that the Suggested Model in this study becomes Customer-Oriented.

A Statistical Theory of Conformational Properties of Amphiphile Molecules at the Air-Water Interface

  • Young Shang Pak;Hyungsuk Pak
    • Bulletin of the Korean Chemical Society
    • /
    • v.12 no.2
    • /
    • pp.170-177
    • /
    • 1991
  • A lattice mean field theory is developed to investigate the conformational properties of monolayer amphiphiles at the air-water interface. By generalizing Dill and Cantor's method and by extending Whittington's recurrence equation, we derive the supermatrix recurrence equation which is applied to calculation of various segment density profiles and order parameter, etc. In deriving the equation, we incorporated the chain stiffness effect and the chain connectivity which are distinguished features of linear chain molecule. Our result shows that, as the surface coverage $\sigma$ increases the chain ordering process with respect to vertical axis of the lattice system becomes dominant.

A Theoretical Representation of Relaxation Processes in Complex Spin System Using Liouville Space Method

  • Kyunglae Park
    • Bulletin of the Korean Chemical Society
    • /
    • v.14 no.1
    • /
    • pp.21-29
    • /
    • 1993
  • For the study of relaxation processes in complex spin system, a general master equation, which can be used to simulate a vast range of pulse experiments, has been formulated using the Liouville representation of quantum mechanics. The state of a nonequilibrium spin system in magnetic field is described by a density vector in Liouville space and the time evolution of the system is followed by the application of a linear master operator to the density vector in this Liouville space. In this master equation the nuclear spin relaxation due to intramolecular dipolar interaction or randomly fluctuating field interaction is explicitly implemented as a relaxation supermatrix for a strong coupled two-spin (1/2) system. The whole dynamic information inherent in the spin system is thus contained in the density vector and the master operator. The radiofrequency pulses are applied in the same space by corresponding unitary rotational supertransformations of the density vector. If the resulting FID is analytically Fourier transformed, it is possible to represent the final nonstationary spectrum using a frequency dependent spectral vector and intensity determining shape vector. The overall algorithm including relaxation interactions is then translated into an ANSIFORTRAN computer program, which can simulate a variety of two dimensional spectra. Furthermore a new strategy is tested by simulation of multiple quantum signals to differentiate the two relaxation interaction types.