Erzin, Adil Iliasovich

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Total publications: 11
Scientific articles: 11

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Erzin, Adil Iliasovich
Doctor of physico-mathematical sciences (2004)
Speciality: 05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
Birth date: 2.10.1955
E-mail: ,
Keywords: hierarchical systems structure optimization, decision making models, construction of optimal telecommunication networks, routing.


Steiner tree problem with additional restriction were investigated. For example, the construction of minimum tree, where each path from the source node to the destination is the shortest. Since such problems are NP-hard, then a simple effective heuristic approach, based on the variation of one parameter, was proposed. The a priori bounds were calculated, as well as a special cases were found when the optimal solution could be constructed by polynomial time. The results of the investigations were published in the monograph, articles and reports.


1973–1978: student; Novosibirsk State University; Mechanical-Mathematical Department; major "Mathematics, Applied Mathematics".
1978–1980: assistant; Novosibirsk Electro-Technical Institute; Department of Higher Mathematics.
1980–1983: Ph. D. student; Novosibirsk State University; Department of Theoretical Cybernetics.
1983–1984: junior researcher; Mining Institute of SD AS USSR.
1984: Ph. D. degree; Institute of Mathematics of SD AS USSR.
1984–the present: first engineer, then junior researcher, then researcher, then senior researcher; Laboratory of Operations Research; Sobolev Institute of Mathematics SD RAS.
1985–the present: (part time) first assistant professor, then associate professor; Department of Theoretical Cybernetics; Novosibirsk State University.

Main publications:
  • Erzin A. I., Cho J. D. A deep-submicron Steiner tree // J. Math. Comput. Modelling, 2000, 31(6,7), 215–226.
  • Erzin A. I., Cho J. D. The signal synchronization problem in VLSI design // Proc. of 7th Int. Conf. On Informations Networks, Systems and Technologies (ICINASTe-2001). V. 1. Minsk, 2001, 230–235.\Bibitem{1}
  • A.I. Erzin, S.N. Astrakov. Covering a Plane with Ellipses // Optimization: A J. of Mat. Programming and OR, 2013, vol 62, issue 10, pages 1357-1366
  • S.N. Astrakov, A.I. Erzin. Efficient Band Monitoring with Sensors Outer Positioning // Optimization: A J. of Mat. Programming and OR. 2013. Volume: 62, Issue: 10, pages 1367-1378
  • A.I. Erzin, P.V. Plotnikov, Yu.V. Shamardin. On some polynomially solvable cases and approximate algorithms in the optimal communication tree construction problem // Journal of Applied and Industrial Mathematics, 2013, Vol. 7, No. 2, pp. 142–152
  • Erzin A.I., Plotnikov R.V. Wireless Sensor Network’s Lifetime Maximization Problem in Case of Given Set of Covers // LNCS 6786, pp. 44–57, 2011
  • Erzin A.I., Astrakov S.N. Min-Density Stripe Covering and Applications in Sensor Networks // LNCS 6784, pp. 152–162, 2011
  • Zalyubovskiy V., Erzin A., Astrakov S., Choo H. Energy-efficient Area Coverage by Sensors with Adjustable Ranges // Sensors, 2009, 9(4), 2446-2460
  • Erzin A.I., Takhonov I.I. Equilibrium Resource Distribution in a Network Model // Journal of Applied and Industrial Mathematics, 2007, Vol. 1, No. 3, 293-302
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. A. I. Erzin, N. A. Shabelnikova, “About density of a covering of a strip with identical sectors”, Diskretn. Anal. Issled. Oper., 22:4 (2015),  21–34  mathnet  mathscinet  elib; J. Appl. Industr. Math., 9:4 (2015), 461–468
2. A. I. Erzin, R. V. Plotnikov, Yu. V. Shamardin, “Some polynomially solvable cases and approximation algorithms for optimal communication tree construction problem”, Diskretn. Anal. Issled. Oper., 20:1 (2013),  12–27  mathnet  mathscinet; J. Appl. Industr. Math., 7:2 (2013), 142–152
3. A. I. Erzin, R. V. Plotnikov, “On maximization of sensor network's lifetime subject to the limited resources”, Diskretn. Anal. Issled. Oper., 18:6 (2011),  17–32  mathnet  mathscinet  zmath
4. T. A. Aldyn-ool, A. I. Erzin, V. V. Zalyubovskiy, “The Coverage of a Planar Region by Randomly Deployed Sensors”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010),  7–25  mathnet
5. A. I. Erzin, H. Chu, “Elmor model-based algorithm to select optimal connections on the clock tree”, Avtomat. i Telemekh., 2009, 10,  172–183  mathnet  mathscinet  zmath; Autom. Remote Control, 70:10 (2009), 1749–1759  isi  scopus
6. S. N. Astrakov, A. I. Erzin, V. V. Zalyubovskiy, “Sensor networks and covering of plane by discs”, Diskretn. Anal. Issled. Oper., 16:3 (2009),  3–19  mathnet  mathscinet  zmath
7. T. A. Aldyn-ool, A. I. Erzin, “On the Reliability of Series-Parallel Networks in Grid Graphs”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009),  3–14  mathnet
8. A. I. Erzin, I. I. Tfkhanov, “The problem of the search for a balanced flow”, Sib. Zh. Ind. Mat., 9:4 (2006),  50–63  mathnet  mathscinet
9. A. I. Erzin, I. I. Tfkhanov, “Equilibrium resource distribution in a network model”, Sib. Zh. Ind. Mat., 8:3 (2005),  58–68  mathnet  mathscinet  zmath; J. Appl. Industr. Math., 1:3 (2007), 293–302
10. A. I. Erzin, D. D. Cho, “Concurrent Placement and Routing in the Design of Integrated Circuits”, Avtomat. i Telemekh., 2003, 12,  177–190  mathnet  mathscinet  zmath; Autom. Remote Control, 64:12 (2003), 1988–1999  isi  scopus
11. A. I. Erzin, D. D. Cho, “Skew Minimization Problem with Possible Sink Displacement”, Avtomat. i Telemekh., 2003, 3,  163–176  mathnet  mathscinet  zmath; Autom. Remote Control, 64:3 (2003), 493–504  isi  scopus

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