The progress of artificial intelligence and robot technology promotes the intelligent robots to enter the service industry, accelerating the digital, personalized and intelligent development of the service industry. As service robots become increasingly prevalent in the human society, the research on human service robot interaction (HSRI) is shifting from a "technology-centric" focus to a more "human-centric" approach. Under such a background, the work aims to review the research on HSRI and sort out the influencing factors of HSRI from human, robot and service encounter. Through literature collection and arrangement, the definition and characteristics of service robots were expounded and the influencing factors from human factors, robot attributes and service encounter characteristics were organized. The three influencing factors of HSRI were robot attributes (including anthropomorphic design, gender, race and culture, usability, transparency, embodiments and presence), human factors (including age, gender, culture, personality traits, technology readiness index, negative attitudes towards the robot) and service encounter characteristics (including service location, robot involvement, customer involvement, severity of failure consequences, tangible versus intangible, cognitive-analytic versus emotional-social). Finally, the research on HSRI should comprehensively consider three aspects of human factors, robot attributes, and service encounter characteristics, pay attention to the development and application stages of service robots, and design and develop service robots within the framework of social ethics.