DOI: https://doi.org/10.15588/1607-3274-2018-2-9

MODEL OF INVESTMENT STRATEGIES IN CYBER SECURITY SYSTEMS OF TRANSPORT SITUATIONAL CENTERS

B. B. Akhmetov, V. A. Lakhno, V. P. Malyukov

Abstract


Actuality. The actual task of finding the optimal strategy for control the procedure of mutual financial investments to the situation
center for cyber security on transport. The aim of the work – the development of a model for a decision support system on the continuous mutual investment in a cyber security situational center, which differs from the existing ones by solving a bilinear differential quality game with several terminal surfaces. Method. In order to achieve the goal there was used a discrete-approximation method for solving a bilinear differential quality game with dependent motions. Application of this method in the developed decision support system, unlike existing ones, gives concrete recommendations ft choosing control decisions in the investment process.
Results – the proposed model gives concrete recommendations at choosing strategies in the investment process at the creation of a
protected situational center. In the course of the computational experiment, there was considered a new class of bilinear differential games that allowed adequately to describe the process of investing in cyber security means of situational transport centers in Kazakhstan and
Ukraine. 
Conclusions. For the first time, there was proposed a model describing the process of mutual investment based on the solution of
bilinear equations and a differential quality game with several terminal surfaces. Considered the peculiarity of the differential game on the
example of mutual investment in the means of cyber security of the situational transport center. In this case, the right-hand side of the
system of differential equations is represented in the form of bilinear functions with arbitrary coefficients. The model allows to predict the
results of investment and to find strategies for managing the investment process in the protection and cyber security systems of the
situational transport center.

Keywords


decision support system; model; bilinear functions; mutual investment; cyber security; situational transport center.

References


Gordon L. A., Loeb M. P., Lucyshyn W. et al. Externalities and the magnitude of cyber security underinvestment by private sector firms: a modification of the Gordon-Loeb model, Journal of Information Security, 2015, No. 6(1), pp. 24–30. DOI: 10.4236/jis.2015.61003

Fielder A., Panaousis E., Malacaria P. et al. Decision support

approaches for cyber security investment, Decision Support Systems, 2016, No. 86, pp. 13–23. DOI: org/10.1016/j.dss.2016.02.012

Meland P. H., Tondel I. A., Solhaug B. Mitigating risk with

cyberinsurance, IEEE Security & Privacy, 2015, No. 13(6),

pp. 38–43. DOI: 10.1109/MSP.2015.137

Smeraldi F., Malacaria P. How to spend it: optimal investment for cyber security, 1st International Workshop on Agents and CyberSecurity, Paris, France, 06–08 May 2014 : proceedings. New York, ACM, 2014, pp. 8. DOI: 10.1145/2602945.2602952

Tosh D. K., Molloy M., Sengupta S. et al. Cyber-investment and cyber-information exchange decision modeling, High Performance Computing and Communications (HPCC), IEEE 7th International Symposium on Cyberspace Safety and Security (CSS), New York , 24–26 August 2015 : proceedings. New York, IEEE, 2015, pp. 1219–1224.

Alpcan T., Bambos N. Modeling dependencies in security risk

management, Risks and Security of Internet and Systems (CRiSIS), Fourth International Conference, Toulouse, France, 19–22 October 2009: proceedings. France, IEEE, 2009. pp. 113–116. DOI : 10.1109/CRISIS.2009.5411969

Peppard J., Ward J. The Strategic Management of Information Systems: Building a Digital Strategy, U.K. Wiley, 2016, 504 p.

Malyukov V.P. A differential game of quality for two groups of objects, Journal of Applied Mathematics and Mechanics, 1991, Vol. 55, No.5, pp. 596 – 606.

Cassidy A. A practical guide to information systems strategic

planning, New York, CRC press, 2016, 395 p.

Bonczek R. H., Holsapple C. W., Whinston A. B. Foundations of decision support systems, USA, Academic Press, 2014, 412 p.

Malyukov V.P. Discrete-approximation method for solving a bilinear differential game, Cybernetics and Systems Analysis,

,Vol. 29, No. 6, pp. 879–888.

Koziolek A., Avritzer A., Suresh S. et al. Assessing survivability to support power grid investment decisions, Reliability Engineering & System Safety, 2016, Vol. 155, pp. 30–43. DOI: 10.1016/j.ress.2016.05.015

Lakhno V., Petrov Al., Petrov Ant. Development of a Support System for Managing the Cyber Security of Information and Communication Environment of Transport, Information Systems Architecture and Technology : 38th International Conference on Information Systems Architecture and Technology (ISAT 2017), Wroclaw, 17–19 September 2017 : proceedings. Wroclaw, Springer, 2017, pp. 113–127. DOI: 10.1007/978-3-319-67229-8_11

Lakhno V. A. Development of a support system for managing the cyber security, Radio Electronics, Computer Science, Control, 2017, No. 2, pp. 109–116. DOI:10.15588/1607-3274-2017-2-12

Lakhno V., Malyukov V., Gerasymchuk N. et al. Development of the decision making support system to control a procedure of financial investment, Eastern-European Journal of Enterprise Technologies, 2017, Vol. 6, No. 3, pp. 24–41. DOI: 10.15587/1729-4061.2017.119259

Akhmetov B., Lakhno V., Boiko Y. et al. Designing a decision support system for the weakly formalized problems in the provision of cybersecurity, Eastern-European Journal of

Enterprise Technologies, 2017, Vol. 1, No. 2, pp. 4–15. DOI:

15587/1729-4061.2017.90506


GOST Style Citations


1. Gordon L. A., Loeb M. P., Lucyshyn W. et al. Externalities and the
magnitude of cyber security underinvestment by private sector firms:
a modification of the Gordon-Loeb model, Journal of Information
Security, 2015, No. 6(1), pp. 24–30. DOI: 10.4236/jis.2015.61003
2. Fielder A., Panaousis E., Malacaria P. et al. Decision support
approaches for cyber security investment, Decision Support Systems,
2016, No. 86, pp. 13–23. DOI: org/10.1016/j.dss.2016.02.012
3. Meland P. H., Tondel I. A., Solhaug B. Mitigating risk with
cyberinsurance, IEEE Security & Privacy, 2015, No. 13(6),
pp. 38–43. DOI: 10.1109/MSP.2015.137
4. Smeraldi F., Malacaria P. How to spend it: optimal investment for
cyber security, 1st International Workshop on Agents and
CyberSecurity, Paris, France, 06–08 May 2014 : proceedings.
New York, ACM, 2014, pp. 8. DOI: 10.1145/2602945.2602952
5. Tosh D. K., Molloy M., Sengupta S. et al. Cyber-investment and
cyber-information exchange decision modeling, High Performance
Computing and Communications (HPCC), IEEE 7th
International Symposium on Cyberspace Safety and Security
(CSS), New York , 24–26 August 2015 : proceedings. New York,
IEEE, 2015, pp. 1219–1224.
6. Alpcan T., Bambos N. Modeling dependencies in security risk
management, Risks and Security of Internet and Systems (CRiSIS),
Fourth International Conference, Toulouse, France, 19–22
October 2009: proceedings. France, IEEE, 2009. pp. 113–116.
DOI : 10.1109/CRISIS.2009.5411969
7. Peppard J., Ward J. The Strategic Management of Information
Systems: Building a Digital Strategy, U.K. Wiley, 2016, 504 p.
8. Malyukov V.P. A differential game of quality for two groups of
objects, Journal of Applied Mathematics and Mechanics, 1991,
Vol. 55, No.5, pp. 596 – 606.
9. Cassidy A. A practical guide to information systems strategic
planning, New York, CRC press, 2016, 395 p.
10. Bonczek R. H., Holsapple C. W., Whinston A. B. Foundations of
decision support systems, USA, Academic Press, 2014, 412 p.
11. Malyukov V.P. Discrete-approximation method for solving a
bilinear differential game, Cybernetics and Systems Analysis,
1993,Vol. 29, No. 6, pp. 879–888.
12. Koziolek A., Avritzer A., Suresh S. et al. Assessing survivability to
support power grid investment decisions, Reliability Engineering
& System Safety, 2016, Vol. 155, pp. 30–43. DOI: 10.1016/
j.ress.2016.05.015
13. Lakhno V., Petrov Al., Petrov Ant. Development of a Support
System for Managing the Cyber Security of Information and
Communication Environment of Transport, Information Systems
Architecture and Technology : 38th International Conference on
Information Systems Architecture and Technology (ISAT 2017),
Wroclaw, 17–19 September 2017 : proceedings. Wroclaw, Springer,
2017, pp. 113–127. DOI: 10.1007/978-3-319-67229-8_11
14. Lakhno V. A. Development of a support system for managing the
cyber security, Radio Electronics, Computer Science, Control, 2017,
No. 2, pp. 109–116. DOI: 10.15588/1607-3274-2017-2-12
15. Lakhno V., Malyukov V., Gerasymchuk N. et al. Development of
the decision making support system to control a procedure of
financial investment, Eastern-European Journal of Enterprise
Technologies, 2017, Vol. 6, No. 3, pp. 24–41. DOI: 10.15587/
1729-4061.2017.119259
16. Akhmetov B., Lakhno V., Boiko Y. et al. Designing a decision
support system for the weakly formalized problems in the
provision of cybersecurity, Eastern-European Journal of
Enterprise Technologies, 2017, Vol. 1, No. 2, pp. 4–15. DOI:
10.15587/1729-4061.2017.90506






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