This paper deals with retrial queues of the |MQ/M/c/∞|- type in which the rate of input flow depends on the number of sources of repeated calls and each call has only one retrial attempt. That is, if a call fails to enter the server facility at the retrial attempt, then it leaves the system without service. The existence conditions of stationary regime and the vector-matrix of the stationary probabilities of the service process are represented. This representation uses an approximation of the initial model by means of the truncated one and the directs passage to the limit. For these systems a threshold strategy for the rate of input flow is used. The multi-criterion optimization problem for finding optimal strategy of control is considered. The quality functionals of the optimization problem are represented through the stationary probabilities.

Innovative policy and regional management leverages should create the foundations for the “impulse” to form the Ukrainian market of natural gas and its distribution. Efficient and desirable economic reforms in the activity of the gas distribution companies of the Western region of Ukraine will contribute to increasing their competitiveness level by implementing innovative activities. The paper aims to make an integral estimation of the competitive positions of the gas distribution companies that function on the Western Ukrainian market of natural gas distribution among consumers and develop practical recommendations directed at forming and implementing the innovative policy of improving their competitiveness. To achieve the aim, the authors have developed the methodology of calculating the competitiveness level for the gas distribution companies that function on a certain natural gas distribution market of any scale. Based on the results of the conducted research, the paper shows that the competitiveness condition of most gas distribution companies of the Western region of Ukraine is either of critical – І or satisfactory – ІІ levels. Meanwhile, it is worth mentioning that only AT “Chernivtsihaz” is characterized by the highest rate of competitiveness integral estimation among all the companies operating on the market of the natural gas distribution among consumers in the Western region of Ukraine. Therefore, it was identified as level ІІІ – “decent” level, which is the average competitive indicator.