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Service oriented architectures and approaches influenced significantly design and applications of services offered and delivered in decision support systems. The main idea of the service oriented approaches is based on natural and obvious assumption that the requested service may be assured by flexibly assembled from a variety of components, services and systems into multi-tier applications. Service oriented approach is an answer for required elasticity and flexibility according which the amount, functionality and quality of required services changes and the architecture should assure environment in which the services are defined on-line manner and allows to take into accounts knowledge and experiences of users. The aim of this paper is to present a model of complex services composed of atomic services and its utilization to estimate resources utilization in two compared attempts to provide complex service. The presented and discussed approaches are based on assumption that the same set of atomic services are performed sequentially and some parallelism of the set of atomic services may be applied to speed-up the requested complex service execution time.