Decomposition methods for mathematical programming/economic equilibrium energy planning models

"9-112-77."Bibliography: leaves 21-22.Supported in part by the U.S. Army Research Office (Durham) under contract no. DAAG29-76-C-0064by J. F. Shapiro

Quantitative analysis of the stability of Japan's energy system

In order to measure Japan's energy system's stability under an uncertain future availability of energy resources, we built a mathematical programming / economic equilibrium model based upon linear programming techniques. Future uncertainty is expressed as random variables with a given probability distribution, and the economic equilibrium point is obtained by iterative convergent computation. Numerical experiments show an optimal energy supply-demand structure with equilibrium prices of primary energy resources at the future target year, then we obtain supply stability and instability probabilities of our energy system. From shadow price analysis of an optimal solution our energy policy is quantitatively evaluated

A mathematical programming/economic equilibrium model for the quantitative analysis of the stability of Japan's energy system

Japan's energy supply-demand system is fully dependent on the import of primary energy resources from foreign countries. So the availability of primary energy, including crude oil and coal, is a very important factor for the stability of our energy system. In order to measure our energy system's stability under an uncertain future availability of energy resources, we built a mathematical programming / economic equilibrium model based upon linear programming techniques. In the model analysis uncertain future availability of primary energy resources is expressed as random variables with a given probability distribution, and the economic equilibrium point is obtained by iterative convergent computation. From our numerical results we know an optimal energy supply-demand structure with equilibrium prices of primary energy resources at the future target year, and obtain supply stability and instability probabilities of our energy system. Furthermore, applicability of decomposition techniques to our energy model analysis and necessary and sufficient conditions for the stability of our energy system are discussed

Quantitative analysis of the stability of Japan's energy system

Includes bibliographical references.by Tatsuo Oyama

A mathematical programming/economic equilibrium model for the quantitative analysis of the stability of Japan's energy system

Includes bibliographical references.by Tatsuo Oyama