COMPLEX ANALYTICAL MODELS FOR EVALUATING THE EFFICIENCY OF TRANSPORT NETWORKS IP / MPLS

In this paper conducted evaluating of the effectiveness of networking IP / MPLS, used as a base when deploying modern transport networks. The main requirements that apply to the technology backbone components are: high capacity, a slight delay value message and its scalability. The introduction of modern network technologies such as MPLS requires a sufficiently large logistical cost for its deployment and a prior assessment of the magnitude of the effect, depending on the area of its application. IP-networks only usage does not allow: to provide a flexible, rational distribution of information flows; performance of standardized values of service quality parameters for multimedia traffic; implement a fast and adaptive change of information transmission routes in the event of overloads in the network. In order to substantiate the choice of the proposed technology, the task of creating adequate models that allow quantifying the value of the gain over time in the processing of messages, depending on the size of the network and taking into account the peculiarities of the work of active network equipment with MPLS-switching and IP-routing. To evaluate the quality of message service in packet networks, the simulation model, boolean algebra and bit models were used. As a result, an analysis of the order and speed of packet service on the IP/MPLS networks was performed based on the simulation model of the corporate network segment. Also integrated analytical models were developed which take into account the peculiarities of network protocols and the operation of the active network equipment. The resulting integrated analytical models can be used to evaluate the effectiveness of IP/MPLS technologies depending on the dimension and network topology. of special communication means depends on the results of previous inspections and represented as a conventional algorithms. Conventional algorithms is used distinguished by type (binary, homogeneous, group) and forms (perfect, minimal, arbitrary, maximum). The flowchart algorithm for calculating the minimum required value of correct assessment probability of checking result while assessing technical state of the object on the conventional algorithm perfect shape is developed. The analytical value for assessing mathematical expectation of deviation from the true value of technical state is determined in the metrological or maintenance of special communication mean, that differ from the known high accuracy. The example of the application of the obtained results in the conventional algorithm determining the technical state of control subsystem operation of high power transmitter is shown. The obtained results in the article should be used in methodics of justification metrological characteristics of measuring instruments during the metrological examination at stages the design and development of new special communication means, as well as for metrology and maintenance service.

of special communication means depends on the results of previous inspections and represented as a conventional algorithms. Conventional algorithms is used distinguished by type (binary, homogeneous, group) and forms (perfect, minimal, arbitrary, maximum). The flowchart algorithm for calculating the minimum required value of correct assessment probability of checking result while assessing technical state of the object on the conventional algorithm perfect shape is developed. The analytical value for assessing mathematical expectation of deviation from the true value of technical state is determined in the metrological or maintenance of special communication mean, that differ from the known high accuracy. The example of the application of the obtained results in the conventional algorithm determining the technical state of control subsystem operation of high power transmitter is shown. The obtained results in the article should be used in methodics of justification metrological characteristics of measuring instruments during the metrological examination at stages the design and development of new special communication means, as well as for metrology and maintenance service.
Introduction. The technical object can be in different states during functioning, evaluated by quantitative parameters: serviceable and faulty conditions, functional and inoperable, critical and the limit states [1]. Evaluation of technical state of special communication means (SCM) is carried out using measuring instruments (MI) while checking their performance, metrological service (MS) and maintenance.
The sequence and procedures of measurement parameters during MS, maintenance SCM is depends on the results of previous inspections and represented as conventional algorithms (CA). In dismissing the values of the measured parameters from the norm searches for defects using regular MI of the program which implement CA of diagnosis. The cost of MI depends on their metrological characteristics. For example, changing the accuracy class ( Ac ) universal voltmeters from 0,02 to 0,002 increases their value in 7,5 times [2], [3].
In justifying the required value of Ac using probabilistic indicators of MIthe probability of correctly determining the technical condition SCM ( P ), mathematical expectation of average (  ) and maximum ( M  ) variations in its finding, the probability of a correct assessment of the value measurement parameter ( p ), which used during the MS, maintenance MI varies from 0,645 to 0,9997 [2], [3].
Analysis of recent research and publications. The choice of MI deals with a large number of works, for example [2] - [6]. However, they don't take into account the specifics of operation and MS of SCM, which turn leads to the impossibility of determining the true performance of SCM and increasing the cost of MS of SCM.
The purpose of the article is to determine the minimum required value p for the assessment of given accuracy the technical state of SCM during their MS and maintenance whilr defects searching by CA different types and forms.
The main material. Conventional algorithms, that are used distinguished by type (binary, homogeneous, group) and forms (perfect F=1, minimal F=2, arbitrary F=3, maximum F=4). Type of CA determined by the number of possible results of fulfillment checkthe choice of module ( m ) and the number of measured parameters at the same time (  ). Group algorithms used in case of using multi-MI: for example, two-or four-channel oscilloscopes. When 2  m (normal or normal) CA is called binary, when 2  m (below normal, normal, more than norm or absence of signal less than normal, normal, more than norm, etc.) -homogeneous. Homogeneous CA easily are realized at 3  m when the nominal value of the parameter allocated to the sector on the scale MI. As higher the value m , as lower the average number of checks K on the CA to determine the elements that failure in SCM, from a set of possible states L , including serviceable condition [4]. The most researched binary algorithms of perfect shape [4], is quite simple and easy to use. In known methodics of justification value Ac MI [2], [3].to calculate the mathematical expectation of average (  ) and maximum ( M  ) deviations in determining technical state of SCM assuming one mistake executor in assessing value of the parameter being checked for CA any form of functional dependences given in the tabl. 1, which overestimate the required value p and as a consequence, the cost selected MI.
Define the domain of existing solutions for calculating the minimum value p in the evaluation technical state of object by CA perfect form observance of the requirements of opportunity to realize current maintenance SCM by aggregation method, even when an erroneous diagnosis in setting faulty element is in the unit that was replaced (block or modules) [2] -[6]: where tthe average runtime checks, y tthe average time of troubleshooting: While summarizing obtained results was developed flowchart algorithms of calculating the minimum required value p in assessing the technical state of the object by CA perfect form (see fig.  1 Conducted combinatorial analysis of direct calculation values  for CA arbitrary shape (F=3) allowed to obtain analytical expressions: From this we obtain the calculation expressions for the estimate  for CA minimal shape (F = 2), when 1 min max   K K and : max min lnumber of states of the object after following min K inspections. For homogeneous CA similarly obtain: [2] after the substitution 1   m l i we obtain calculation formulas for assessing value  for the CA maximum shape (F=4): Consider the order of application of the obtained results of on a particular example -CA determines the technical state control subsystem functioning of high power radio transmitter (see fig.  2 Conclusions. 1. New calculated expressions that was obtained for quantitative assessment the mathematical expectation of deviation is defined at MS or maintenance technical state of SCM its true value, which differ from the known increased accuracy of results.
2. The obtained results should be used in methodics of justification metrological characteristics of MI during the metrological examination at the design and development stages of new SCM, as well as for MS and maintenance of existing SCM.
3. Reliability of the results confirmed by using the approbated mathematical apparatus, justified problem setting and consolidation the results to known in some cases: reverse replacement 1 when changing the shape of the CA from F4 to F1 will lead to receiving initial expressions [2], the adequacy of which is confirmed by direct calculation.
A further task of the research is to develop methodic justification of metrological characteristics based on the obtained mathematical dependence of MI for conducting MS or maintenance SCM.
Yevhen Ryzhov, candidate of technical sciences, senior researcher of research center of the land forces, National army academy named after Hetman Sahaidachny, Lviv, Ukraine. E-mail: zheka1203@ukr.net. Lev Sakovych, candidate of technical sciences, professor at the theoretically bases of operation of special means information-telecommunications systems academic department, Institute of special communication and information protection of National technical university of Ukraine "Igor Sikorsky Kyiv polytechnic institute", Kiev, Ukraine. E-mail: lev@sakovich.com.ua.