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In this work, we explore the innovative growth of personal computer (PC) shipments in Taiwan. We estimate the marketing diffusion with the consideration of the competition of desktop (DT) and notebook (NB). Mathematically, using the Lotka-Volterra model, we analyze the dynamic competitive relationship between the shipments of DT and NB. All the parameters in the Lotka-Volterra model are calibrated with the realistic shipment data, and the predicted trends to 2010 are thus drawn. Our results clarify a pure competition between DT and NB in PC market. The competitive relationship of dynamic PC shipments in Taiwan is thus examined, including consideration of the interaction between two species to explain the actual diffusion phenomenon in the competitive market. Comparison between well-known growth model, Bass model, and competitive Lotka-Volterra Model is also drawn. In addition, it is shown that the competition between DT and NB would reach an equilibrium point which is stable over time and we further analyze how the deviation returns to the stable equilibrium.

Due to global competition, Taiwan's single-machine tool factories are expected to research, develop, and manufacture high/intermediate-level machine tools, such as micro machine tools and intelligent machine tools. With stronger automation ability, greater processing efficiency, and improved processing quality, intelligent machine tools also integrate artificial intelligence to achieve the goal of unmanned processing. Their main functions include: automatic planning of a processing program, route, and conditions; detection and monitoring of tool status during processing; solution determination; and self-learning. Advanced machine tools are capable of accumulating experience in processing to improve successful processing capacity, as well as on-line measurement and detection in real time, so as to ensure uniformity of product quality. This study aims to investigate major machine tool manufacturers in Taiwan, and their requirements for automation technology in single-machine tools