The Interaction Programming Problem

Based upon the research to the economic equilibrium problems,we present a kind of new mathematical programming problem——interaction programming problem (abbreviated by IPP). The IPP is composed of two or multiple parametric programming problems which is interrelated with each other. The IPP reflects the equality and mutual benefit relationship between two (or among multiple) economic planners in an economic system. In essence, the IPP is similar to the generalized Nash equilibria (GNE) game which has been given several names in the literature: social equilibria games, pseudo-Nash equilibria games, and equilibrium programming problems. In this paper, we establish the mathematical model and some basic concepts to the IPP. We investigate the structure and the properties of the IPP.We also give a necessary and sufficient conditions for the existence of the equilibrium points to a kind of linear IPP.

Vertex-Searching Method for Linear Interaction Programming

In order to solve linear interaction programming, the vertex-searching method is proposed in this paper. First, the existence of equilibrium is analyzed for the model of linear interaction programming. Then the conclusion is obtained in which the equi- librium is in the boundary of the restriction region of linear interaction programming. Also, a searching equilibrium solution is deduced from the conclusion.

Multi-mode interaction middleware for software services

Due to the independency, variability, and tailorability of software service in the open environment, the research of middleware which supports software services multi-mode interaction is thus of great importance. In this paper, an agent-based multi-mode interaction middleware model and its supporting system for software services were proposed. This model includes an interaction feature decomposition and configuration model to enable interaction programming, an agent-based middleware model, and a programmable coordination media based on reflection technology. The decomposition and configuration model for interaction features can assist programmers in interaction programming by analyzing and synthesizing interaction features. The agent-based middleware model provides a runtime framework for service multi-mode interaction. The programmable coordination media is able to effectively support software service coordination based on multimode interaction. To verify feasibility and efficiency of the above method, the design, implementation and performance analysis of Artemis-M3C, a multi-mode interaction middleware for software services, were introduced. The result shows that the above method is feasible and that the Artemis-M3C system is practical and effective in multi-mode interaction.