Nowadays, the study of the behavior of social, economic, and technical queuing systems at different stages of their design and operation is a challenge for simulation modeling. The complexity of the dynamic structure of such systems is owing to a number of factors. Among them are a large number of system characteristics and relations between them, the existence of a large spectrum of distribution laws of random events, the need to collect and analyze current data on the system under study, and the presence of various constraints. Moreover, relations can be represented by functional, statistical, ambiguous, or other mappings. Unfortunately, simulation modeling tools are not widespread in designing and applying business processes, unlike other products of information and computation technologies (system of the office administration, warehouse management, etc.). In this regard, we present an approach to developing web-service for simulation modeling of queuing systems. Within the approach, we automate some stages of web-service development and use. To this end, we apply tools that support distributed computing with parameter variations in a heterogeneous environment, which includes virtualized resources. We provide a multi-agent management of computations. The practical use of the tools is shown on the example of developing a web-service for simulation modeling of a typical health and care institution. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).