Service science is a new application area that implements services in an interdisciplinary area of management, economics, and engineering. Service systems provide functionalities of traditional software systems, moreover the functionalities are more intellectual in that they require dynamic context awareness, analysis, and decision making based on the recognized and analyzed contexts. However, conventional software development approaches do not sufficiently provide methods to model the service requirements and to design service-intensive systems. Therefore, there is a great demand on effective methodologies for developing service systems. In this paper, we compare traditional software systems with service-intensive systems in order to identify characteristics of the service systems. And, we propose a step-wise process to model service systems, in terms of architecture, components, and workflows. Then, we show a case study on an emergency handling system which is a type of living assistant systems. We believe that the proposed approach can be used in developing high-quality service systems effectively.