Modeling the Process for Controlling a Road Traffic Safety System Based on Potentially Active Elements of Space and Time

Abstract

This article is dedicated to a method for modeling the process for controlling a regional road traffic safety system based on potentially active elements of space and time, which allows formalizing models when creating road traffic safety control systems.We carry out our activities successfully so far as we model the reality adequately. The measure of adequacy is to consider the full range of patterns in the subject area in question. The basic law is the object integrity maintenance law [Burlov (2006)]. The essence of this law is defined by an inseparable link between the object and its movement and is characterized as mutual transformation of object properties and its movement properties with a predefined purpose. If the object integrity maintenance law is neglected in practice, it will appear that the result of application of the created object is not the same as the expected result. When modern road traffic control systems (RTCS) are designed, the above mentioned law is not practically taken into account to the fullest extent, which does not allow responding to both hardware failures and unauthorized external interventions into software.As any other objects in the surrounding reality, an RTSCS exists in space and time and features space-time states (STS).Physically, we have to select a specific logical sequence of commands (System Operation Plan) in the course of system functioning. Mathematically, it is only possible based on an algebraic operation relating to the properties of the carrier set [Burlov (2006), Chechkin et al. (2008), Frid (1985)].If we apply this algebraic operation to the set of possible states of the road traffic safety control system, we can adequately and surely model the process of RTSCS functioning depending on the set of possible system STSs.