Model of Mobile Web Service for Booking a Parking Space Based on Multi-channel Queue System with Discipline of Prioritized Capacity

A mathematical model of mobile web service for booking а parking spaces in parking lots has been developed. It is assumed that web service operators receive requests of different priorities. First of all, the possibility of providing a place in the nearest parking lot for the vehicle is considered. The request is granted if, after accepting the request, there is free parking space in the parking lot that is not less than the amount reserved for requests of higher priorities. Delays occur when there is not enough free parking space or when there are no free operators. In the case of refusal to provide a parking space, the request goes to another parking lot, etc. The model is a queue system with the discipline of sharing capacity of serving devices. A simulation model has been created to estimate the performing time of booking requests. A numerical example and the results of a simulation experiment are given.