Description: To ensure the vitality of important objects, such as bridges, overpasses, base areas, roadblocks, checkpoints, entry and exit points, and others, the complex implementation of measures for fortification equipment and arrangement and maintenance of engineering barriers is achieved. One of the fastest and most effective ways to achieve the goal of these measures is to use block barriers made of durable materials. Block barriers have protective and barrier properties and are an alternative tool in difficult soil conditions and in conditions of limiting the use of mine and explosion barriers. The modeling of the process of influence on the block barrier obstruction of enemy firearms and the capabilities of the units defending and using it to defeat enemy firearms during counter fire, as well as the restoration of the combat state of enemy firearms after failure. The mathematical model on the influence of enemy firearms, mainly of shock type, is presented with the purpose of destroying block barriers from durable mate-rials at roadblocks and checkpoints occupying units defending them in combat areas. The mathematical model, in contrast to the existing ones, takes into account the probability of failure of enemy firearms due to the impact of counter defense units and using block barriers during the counter fire, and the probability of restoration of the enemy state of firearms. The proposed mathemati-cal model is based on the use of semi-Markov processes. The mathematical model given in the article allows to answer a number of questions concerning the combat functioning of the system, in particular, regarding the time of staying in the corresponding set of states, the time of combat functioning of the enemy's firearms until the moment of their combat state loss and block obstacle until its destruction.
Keywords: block barrier; means of destruction; mathematical model.
1.The Rezolution of the Cabinet of Ministers of Ukraine (2010), “Pro Prohramu zabezpechennya zhyvuchosti tavybukhopozhezhobezpeky arsenaliv, baz i skladiv ozbroyennya, raket i boyepry-pasiv Zbroynykh Syl Ukrayiny na 1995 - 2015 roky №472 vid 28 chervnya 1995” [About the Program of providing survivability and explosion protection of arsenals, bases and depots of arms, missiles and ammunition of the Armed Forces of Ukraine for 1995 - 2015 №472 of June 28, 1995], available at: https://zakon.rada.gov.ua/laws/show/472-95-п.
2.Official site of the Ministry of Defense of Ukraine (2018), “Yakistʹ systemy zabezpechennya zhyvuchosti baz, skladiv iarsenaliv ZS Ukrayiny planovo pokrashchuyetʹsya” [The quality of the system of ensuring the survivability of bases, warehouses and arsenals of the Armed Forces of Ukraine is being improved regularly], available at: http://www.mil.gov.ua/news/2018/02/13/yakist-sistemi-zabezpechennya-zhivuchosti-baz-skladiv-i-arsenaliv-zs-ukraini-planovo-pokrashhuetsya/.
3.Adamchuk, O.V. and Oleksiyenko, B.M. (2016), “Osnovni polozhennya orhanizatsiyi sluzhby prykordonnykh naryadivu kontrolʹnykh punktakh vyizdu-vyyizdu na tymchasovo okupovanu terytoriyu Ukrayiny” [Main provisions of organization of border guards service at checkpoints of entry-exit to the temporarily occupied territory of Ukraine], Collection of Scientific Papers of the National Academy of State Border Guard Service of Ukraine, No. 1(67), рр. 6-16.
4.The official site of RMCLVIV – the media center of the Ministry of Defense of Ukraine, “Blok-post. Nedovira – vashrobochyy instrument” [Post. Distrust is your working tool] available at: https://rmclviv.wordpress.com (accessed 8 November 2018).
5.Kovtun, A.V., Ivanchenko, O.V. and Shapovalov, A.I. (2008), “Eksperymentalʹni doslidzhennya parametriv blochnoyibahatoyarusnoyi zahorodzhuvalʹnoyi pereshkody pry modelyuvanni protsesu prypynennya porushenʹ hromadsʹkoho poryadku” [Experimental investigations of the parameters of a block multilevel barrier obstacle in modeling the process of termination of public order violations], Collection of Scientific Works of the Academy of Internal Troops of the Ministry of Internal Affairs of Ukraine, No. 1(11), pp. 54-58.
6.Chernozubenko, O.V., Abramson, A.N., Moshkovsʹkyy, M.S. and Babych, A.M. (2014), “Metodyka otsinky stanuzhyvuchosti ta vybukhopozhezhobezpeky viysʹkovykh potentsiyno nebezpechnykh obʺyektiv” [Methods for assessing the state of survivability and explosion of military potentially dangerous objects], Weapons and Military Equipment, No. 2, рр. 34-37.
7.Orlov, M.M., Khalep, V.V. and Shapovalov, А.I. (2014), “Sposoby diy vnutrishnikh viysʹk pid chas prypynennyamasovykh protystoyanʹ hromadyan u razi vynyknennya mizhetnichnoho konfliktu” [Methods of action of internal troops in the termination of mass confrontations of citizens in case of inter-ethnic conflict], Honor and the Law, No. 2(49), рр. 20-27.
8.Katerynchuk, I.S. and Shapovalov, А.I. (2018), “Zastosuvannya blochnoyi zahorodzhuvalʹnoyi pereshkody u razivynyknennya vnutrishnikh zahroz natsionalʹniy bezpetsi” [Application of block barrier in case of internal threats to national security], Collection of Scientific Papers of the National Academy of State Border Guard Service of Ukraine, No. 2(76), рр. 256-271.
9.Yurkov, B.N. (1990), “Operatsiyni doslidzhennya” [Operational research], VIA, Moscow, 528 p.
10.Korolyuk, V.S. and Turbiny, A.F. (1976), “Napivmarkivsʹki protsesy ta yikh zastosuvannya” [Semi-Markov Processesand Their Applications], Scientific Thought, Kyiv, 184 p.