In this study, an environmentally friendly model of regional power system was developed to minimize the total cost of a regional power system consisting of an independent power grid. SO2 emission is controlled and capacity expansion is scheduled. In the system, the deterministic variables...

This study presents an interval de Novo programming (IDNP) approach for the design of optimal water-resources-management systems under uncertainty. The model is derived by incorporating the existing interval programming and de Novo programming, allowing uncertainties represented as intervals...

An interactive inexact fuzzy bounded programming (IFBP) approach is developed through introducing the concept of fuzzy bounded intervals into an interactive fuzzy compromise programming framework. It can provide decision support for decision makers with conflicting desires of greater objective...

A strategic agricultural land-use planning approach was proposed in response to water-supplier variation under parameter uncertainty. It was capable of examining the implication of various water-suppliers on agricultural land-use planning problems, interpreting the response of land-use schemes...

Based on Robertson's formalism, a microscopic theory of the equations of motion for dilute magnetic alloys is derived in the relaxation process. Within the s-d model, the integral with memory kernel is calculated to the second order of the interaction.

The constitutive quantities in Mori's theory, the residual forces, are expanded in terms of time-dependent correlation functions and products of operators at t = 0, where it is assumed that the time derivatives of the observables are given by products of them. As a first consequence the...

It is pointed out that the Schwinger variational principle of scattering theory directly applies to the case of dynamic susceptibilities in statistical mechanics. The relation to other dynamic approximation schemes is discussed.

A response theory in quantum systems, which can discuss the stability of the total system and the appearance of subharmonics, is proposed. The propagator of the system in the Liouville space is decomposed into the periodic factor with the same frequency as the external field and the remaining...

Combined first and second order dynamic susceptibilities for a set of observables are expressed by a matrix resolvent operator in Liouville-space. A well-defined triangular projector is introduced to rewrite second order susceptibilities in terms of frequencies and memory functions. For these a...

A previously given formalism for the steady state statistical operator ϱη (t) is illustrated for the case of a periodically driven oscillator coupled to a bath of oscillators. The application to several types of observables is investigated. Explicit evaluation shows that ϱη (t) gives the...