  The paper deals with a sharing economy system with various management factors
by using a bulk input G/M/1 type queuing model. The effective management of
operating costs is vital for controlling the sharing economy platform and this
research builds the theoretical background to understand the sharing economy
business model. Analytically, the techniques include a classical Markov process
of the single channel queueing system, semi-Markov process and
semi-regenerative process. It uses the stochastic congruent properties to find
the probability distribution of the number of contractors in the sharing
economy platform. The obtained explicit formulas demonstrate the usage of
functional for the main stochastic characteristics including sharing expenses
due to over contracted resources and optimization of their objective function.
