# Method of Synthesis of Guard Signaling Complex with Location of Seismic Sensors in Far and Close Control Zones

Автори:
В.Yu. Volochiy (1), V.А. Onishchenko (2), Yu.Р. Salnik (2)

(1) Lviv Polytechnic National University
(2) Hetman Petro Sahaidachny Army Academy

The article presents two methods of synthesis of guard signaling complex (GSC) which are based on the developed mathematical models of the complex reaction on moving object (MO). The first method solves the task of synthesis of GSC structure with minimum quantity of seismic sensors and layout of their location on each route of approach to the object. This task is actual in the phase of its operation. The other method solves the task of synthesis of devices parameters of perspective GSC in the phase of its development.
The guard signaling complex consists of a certain number of autonomous systems of detection, object classification and transmitting radio signals (DOCTRS) about the detected MO and the system of receiving and displaying information (RDI). Each autonomous system has a direct access to the system of receiving and displaying information, so the GSC structure is star-shaped.
The task of determining minimum necessary number of seismic sensors (SSs)  and autonomous systems DOCTRS respectively, which should be taken with the unit, is rather actual. When the matter is about developing new GSC model, then determining of requirements to its components defining its effectiveness is actual.
Mathematical models are the basis of both methods which allow carrying out comparative analysis of GSC effectiveness with different versions of SSs placement on the way to the place of location of the military unit, and taking into account the characteristics of the area.
Development of mathematical models of GSC reaction on MO appearance for four suitable SSs layouts is carried out by means of the method of state space. Models are presented as a system of differential equations of Kolmogorov - Chapman. Four models of the object under investigation have been developed as graphs of states and transitions in order to form systems of differential equations.
Suggested methods of the synthesis of GSC structure provide fulfilment of the tasks in the following succession:
1. On the basis of the analysis of the area determine number and specific features of the routes of probable MO movement. All routes of probable MO movement to the place of the unit location are secretive for movement and restricted to the MO maneuver.
To choose suitable SSs layouts determine far and close zones of control appropriate for SSs placement. Requirements to the control zones are as follows: availability of natural obstacles which exclude possibility to get round  the control zone; existence of radio visibility and possibility of secretive installment of autonomous systems DOCTRS; avoidance of soft ground, if possible; possibility of visual observing close control zone.
2. On the basis of specific features of each route choose suitable versions of SSs layouts. Imagine four main versions of SSs layouts on the probable (controlled) route.
In the first version of layout place one SS in far and close control zones (1+0 or 0+1). The second version provides placement of two SSs on the border line in far and close control zones (2+0 or 0+2). In the third version two SSs are placed in series in far and close control zones (1+1). The fourth version provides two pairs of SSs on the border lines in far and close control zones (2+2).
Presented basic versions can be used to form other SSs layouts.
3. For the first route and each suitable SS layout on it determine the value of probable MO task accomplishment by the guard signaling complex by means of mathematical models of the reaction of GSC on MO appearance. Begin the analysis with the minimal configuration, considering GSC effectiveness for all suitable SSs layouts on the route. A layout with minimum number of SSs is included in GSC structure which provides the given value of probable MO task accomplishment on this route.
4. The procedure described in paragraph 3 is performed for all other probable routes of MO movement.
5. After choosing a suitable SS layout for each route of probable MO movement determine a minimum GSC completeness, so the synthesis of the complex structure is finished.
It is also useful in civilian sphere in order to improve effectiveness of stationary objects protection.
Practical use of the suggested methods of synthesis of GSC structure guarantees the correct placement of GSC round the place of the military unit location.
GSC parametric synthesis is in determining values of parameters of GSC components, and its structure and condition of task accomplishment are specified.
So, the task of parametric synthesis is in determining parameters values:
-    probable SS reaction on MO appearance;
-    probable correct MO classification;