Books Edited

• New Models of Business: Managerial Aspects and Enabling Technology. Proc. 2nd Intern. Workshop, St.Petersburg, June 26-28, 2002
  St.Petersburg, St.Petersburg State University, 2002 (N.K. Krivulin, ed.).
• New Models of Business: Managerial Aspects and Enabling Technology. Proc. Intern. Workshop, St.Petersburg, June 28-29, 2001
  St.Petersburg, St.Petersburg State University, 2001 (N.K. Krivulin, ed.).
• Mathematical Models and Information Technology in Management
  St.Petersburg, St.Petersburg State University, 2001 (N.K. Krivulin and V.V. Trofimov, eds.). (in Russian)

Recent Publications

• An Extremal Property of the Eigenvalue of Irreducible Matrices in Idempotent Algebra and Solution of the Rawls Location Problem
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2011), No.4, 42-51. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 44 (2011), No.4, 272-281.
• Methods of Idempotent Algebra
  LAP Lambert Academic Publishers, Saarbrucken, 2011. 228 p. (in Russian)
• Evaluation of the Mean Cycle Time in Stochastic Discrete Event Dynamic Systems
  The 6th International Conference on Queueing Theory and Network Applications (QTNA 2011), Korea University, Seoul, Korea, August 23-26, 2011, Proceedings (Bara Kim, Ho Woo Lee, Gang Uk Hwang, Yang Woo Shin, Eds.). New York, ACM, 2011, 93-100.
• Algebraic Solution to a Constrained Rectilinear Minimax Location Problem on the Plane
  2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 26-28, 2011, Hangzhou, China, IEEE Proceedings, IEEE, 2011, 6216-6220.
• An Algebraic Approach to Multidimensional Minimax Location Problems with Chebyshev Distance
  WSEAS Transactions on Mathematics, 10 (2011), No.4, 191-200.
• Algebraic Solutions to Multidimensional Minimax Location Problems with Chebyshev Distance
  Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM '11), Lanzarote, Canary Islands, Spain, May 27-29, 2011, WSEAS Press, 2011, 157-162.
• Calculating the Mean Growth Rate of the Vector of States of a Stochastic System with Synchronization of Events
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2011), No.1, 109-116. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 44 (2011), No.1, 79-86.
• Calculating the Lyapunov Exponent for Generalized Linear Systems With Exponentially Distributed Elements of the Transition Matrix
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2009), No.2, 37-47. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 42 (2009), No.2, 95-105.
• Idempotent Algebra Methods for Problems in Modeling and Analysis of Complex Systems
  St.Petersburg University, St.Petersburg, 2009. 256 p. (in Russian)
• Evaluation of the Lyapunov Exponent for Generalized Linear Second-Order Exponential Systems
  Proc. 6th St.Petersburg Workshop on Simulation. St.Petersburg, June 28 - July 4, 2009. Vol.2. (S.M. Ermakov, V.B. Melas, A.N. Pepelyshev, eds.). St.Petersburg, VVM com. Ltd., 2009. 875-881.
• Evaluation of Lyapunov Exponent in Generalized Linear Dynamical Models of Queueing Networks
  Proc. MATHMOD 09 Vienna Full Papers CD Volume (I. Troch, F. Breitenecker, eds.). Vienna, ARGESIM, 2009. 706-717.
• Evaluation of the Growth Rate of the State Vector in a Second-Order Generalized Linear Stochastic System
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2008), No.1, 38-48. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 41 (2008), No.1, 28-38.
• On Evaluation of the Blocking Probability in Multiwave Time Division Multiplexing Networks
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2007), No.4, 73-81. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 40 (2007), No.4, 279-286.
• Evaluation of the Growth Rate of the State Vector in a Generalized Linear Stochastic System
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2007), No.3, 91-99. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 40 (2007), No.3, 224-232.
• Growth Rate of the State Vector in a Generalized Linear Stochastic System With a Symmetric Matrix
  Zapiski Nauchnyh Seminarov POMI, 341 (2007), 134-141. (in Russian) English transl. in Journal of Mathematical Sciences, 147 (2007), No.4, 6924-6928.
• On the Convergence of Matrix Powers of a Generalized Linear Operator in Idempotent Algebra (with I.V. Romanovskii)
  Problemy Matematicheskogo Analiza (N.N. Ural'tseva, ed.), 34 (2006), 69-77. (in Russian) English transl. in Journal of Mathematical Sciences, 142 (2007), No.1, 1806-1816.
• Eigenvalues and Eigenvectors of Matrices in Idempotent Algebra
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2006), No.2, 29-40. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 39 (2006), No.2, 72-83.
• Solution of Generalized Linear Vector Equations in Idempotent Algebra
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2006), No.1, 23-36. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 39 (2006), No.1, 16-26.
• On Parallel Implementation of a Discrete Optimization Random Search Algorithm (with Dennis Guster and Charles Hall)
  WSEAS Transactions on Computers 4 (2005), No.9, 1122-1129.
• Parallel Implementation of a Random Search Procedure: An Experimental Study (with Dennis Guster and Charles Hall)
  Proc. 5th WSEAS Intern. Conf. on Simulation, Modeling and Optimization (SMO'05), Corfu, Greece, August 17-19, 2005, 347-352.
• Evaluation of Bounds on the Mean Rate of Growth of the State Vector of a Linear Dynamical Stochastic System in Idempotent Algebra
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2005), No.2, 48-57. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 38 (2005), No.2, 42-51.
• The Growth Rate of State Vector in a Generalized Linear Dynamical System with Random Triangular Matrix
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2005), No.1, 33-38. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 38 (2005), No.1, 25-28.
• Bounds on the State Vector Growth Rate in Stochastic Dynamical Systems
  Proc. 5th St.Petersburg Workshop on Simulation, St. Petersburg, June 26 - July 2, 2005 (S.M. Ermakov, V.B. Melas, and A.N. Pepelyshev, eds.), St. Petersburg University, St. Petersburg, 2005, 391-396.
• A Convergence Theorem for Matrix Powers and Evaluation of the Eigenvalue in Idempotent Algebra
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2004), No.2, 49-55. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 37 (2004), No.2, 38-42.
• Estimation of the Growth Rate of the State Vector in a Generalized Linear Dynamical System with Random Matrix
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2003), No.3, 41-49. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 36 (2003), No.3, 41-49.
• Evaluation of the Mean Cycle Time in Fork-Join Queueing Networks
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2002), No.3, 27-35. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 35 (2002), No.3, 20-26.
• Algebraic Modeling and Performance Evaluation of Business Processes (with D. Guster)
  New Models of Business: Managerial Aspects and Enabling Technology: Proc. 2nd International Workshop, St.Petersburg State University, St.Petersburg, Russia, June 26-28, 2002, (N.K. Krivulin, ed.), 212-220.
• The Information System of Sale Analysis and Delivery Control in Newspaper Industry (with V. Kurotschka)
  New Models of Business: Managerial Aspects and Enabling Technology: Proc. 2nd International Workshop, St.Petersburg State University, St.Petersburg, Russia, June 26-28, 2002, (N.K. Krivulin, ed.), 228-238.
• Marketing Research of Price Levels in Differentiated Product Market (with I.V. Gladkikh)
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.8, (2002), No.8, 129-156. (in Russian)
• Evaluation of the Mean In-Process Time for Queueing Networks with Random Topology (with D.S. Milov)
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2001), No.3, 27-31. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 34 (2001), No.3, 16-19.
• On Evaluation of the Mean Service Cycle Time in Tandem Queueing Systems (with V.B. Nevzorov)
  Applied Statistical Science V (M. Ahsanullah, J. Kennyon, S.K. Sarkar, eds.), Nova Science Publishers, NY, 2001, 145-155.
• Evaluation of Bounds on Service Cycle Times in Acyclic Fork-Join Queueing Networks
  International Journal of Computing Anticipatory Systems 9 (2001), 94-109.
• Modeling and Performance Evaluation of Computer Systems Security Operations (with D. Guster)
  Simulation 2001, Proc. 4th St.Petersburg Workshop on Simulation (S.M. Ermakov, Yu.N. Kashtanov and V.B. Melas, eds.), St.Petersburg, Russia, June 18-22, 2001, St.Petersburg University, St.Petersburg, 233-238.
• Products of Random Matrices and Queueing System Performance Evaluation
  Simulation 2001, Proc. 4th St.Petersburg Workshop on Simulation (S.M. Ermakov, Yu.N. Kashtanov and V.B. Melas, eds.), St.Petersburg, Russia, June 18-22, 2001, St.Petersburg University, St.Petersburg, 304-309.
• Evaluation of the Mean Interdeparture Time in Tandem Queueing Systems (with V.B. Nevzorov)
  Simulation 2001, Proc. 4th St.Petersburg Workshop on Simulation (S.M. Ermakov, Yu.N. Kashtanov and V.B. Melas, eds.), St.Petersburg, Russia, June 18-22, 2001, St.Petersburg University, St.Petersburg, 310-315.
• Estimates for a Mean Time of Trouble-Free Work for One Queueing Network Class (with D.S. Milov)
  Vestnik Sankt-Peterburgskogo Universiteta. Ser.1, (2001), No.1, 23-30. (in Russian) English transl. in Vestnik St.Petersburg University: Mathematics, 34 (2001), No.1, 17-22.
• Algebraic Modelling and Performance Evaluation of Acyclic Fork-Join Queueing Networks
  Advances in Stochastic Simulation Methods, Statistics for Industry and Technology (N. Balakrishnan, V. Melas and S. Ermakov, eds.), Birkhauser, Boston, 2000, 63-81.
• Monotonicity Properties and Simple Bounds on the Mean Cycle Time in Acyclic Fork-Join Queueing Networks
  Recent Advances in Information Science and Technology (N. Mastorakis, ed.), World Scientific, Singapore, 1998, 147-152.
• Monotonicity Properties and Simple Bounds on the Mean Cycle Time in Acyclic Fork-Join Queueing Networks
  Proc. 2nd IMACS Intern. Conf. on Circuits, Systems and Computers (IMACS-CSC'98), Oct. 26-29, 1998, Hellenic Naval Academy, Piraeus, Greece (N. Mastorakis, ed.), Vol. 2, 831-836.
• Bounds on Mean Cycle Time in Acyclic Fork-Join Queueing Networks
  Proc. 4th Intern. Workshop on Discrete Event Systems, Cagliari, Italy, Aug. 26-28, 1998, The Institution of Electrical Engineers, London, 1998, 469-474.
• Elements of the Queueing Theory (with S.M. Ermakov)
  St.Petersburg University, St.Petersburg, 1998. (in Russian)
• Simple Bounds on the Mean Cycle Time in Acyclic Queueing Networks
  Proc. 3rd St.Petersburg Workshop on Simulation, St.Petersburg, June 28 - July 3, 1998. St.Petersburg University, St.Petersburg, 1998, 331-337.
• Bounds on the Mean Working Time for Queueing Networks with Random Topology (with D.S. Milov)
  Proc. 3rd St.Petersburg Workshop on Simulation, St.Petersburg, June 28 - July 3, 1998. St.Petersburg University, St.Petersburg, 1998, 338-339.
• Modeling of Nonregular Phenomena in Dynamical Mechanical Systems (with O.N. Granichin)
  St.Petersburg University, St.Petersburg, 1997. (in Russian)
• Max-Plus Algebra Models of Queueing Networks
  Proc. International Workshop on Discrete Event Systems WODES'96, University of Edinburgh, UK, August 19-21, 1996, The Institution of Electrical Engineers, London, 1996, 76-81.
• The Max-Plus Algebra Approach in Modelling of Queueing Networks
  Proc. 1996 SCS Summer Computer Simulation Conference (SCSC-96), July 21-25, Portland, OR (V. Wayne Ingalls, Joeseph Cynamon, and Annie Saylor, eds.), The Society for Computer Simulation, 1996, 485-490.
• An Algebraic Approach in Modelling and Simulation of Queueing Networks
  "Circuits, Systems and Computers", Proc. International Conference (CSCC'96), Piraeus, Greece, July 15-17, Hellenic Naval Academy, 1996, Vol. 2, 668-672.
• An Algebraic Model of Queueing Networks (with D. Milov)
  in Proc. 2nd St.Petersburg Workshop on Mathematical Methods in Stochastic Simulation and Experimental Design, St.Petersburg, June 18-21, 1996, (S.M. Ermakov and V.B. Melas, eds.), 156-161.
• Efficient Parallel Algorithms for Tandem Queueing System Simulation (with S.M. Ermakov)
  Proc. 3rd Beijing International Conference on System Simulation and Scientific Computing, Beijing, China, October 17-19, 1995, Delayed Papers, 8-12.
• A Max-Algebra Approach to Modeling and Simulation of Tandem Queueing Systems
  Mathematical and Computer Modelling, 22 (1995), No.3, 25-31.
• Algebraic Models in Simulation of Tandem Queueing Systems Proc. 1995 Summer Computer Simulation Conference, (Tuncer I. Ören and Louis G. Birta, eds.), Simulation Councils, Inc., 1995, 9-14.
• Unbiased Gradient Estimation in Queueing Networks with Parameter-Dependent Routing
  Proc. International Conference on Control and Information 1995, (Wong Wing-Shing, ed.), The Chinese University Press, Hong Kong, 1995, 351-356.
• An Algebraic Approach to Modeling and Simulation of Tandem Queueing Systems
  Proc. European Simulation Multiconference, Prague, Czech Republic, June 5-7, 1995, (Miroslav Snorek, Milan Sujansky, and Alexander Verbraeck, eds.), 271-275.
• Efficient Algorithms for Tandem Queueing System Simulation (with S.M. Ermakov)
  Applied Mathematics Letters, 7 (1994), No.6, 45-49.
• Recursive Equations Based Models of Queueing Systems
  in Proc. European Simulation Symposium, Istanbul, Turkey, October 9-12, 1994, (Ali R. Kaylan, Axel Lehmann, and Tuncer I. Ören, eds.), 252-256.
• A Recursive Equations Based Representation for the G/G/m Queue
  Applied Mathematics Letters, 7 (1994), No.3, 73-78.
• Using Max-Algebra Linear Models in the Representation of Queueing Systems
  Proc. 5th SIAM Conference on Applied Linear Algebra, Snowbird, UT, June 15-18, 1994, (John G. Lewis, ed.), 155-160.
• Unbiased Estimates for Gradients of Stochastic Network Performance Measures
  Acta Applicandae Mathematicae, 33 (1993), 21-43.
• An Analysis of Gradient Estimates in Stochastic Network Optimization Problems Proc. 3rd International Workshop on Model-Oriented Data Analysis, Petrodvorets, Russia, May 25-30, 1992, (W.G. Müller, H.P. Wynn, and A.A. Zhigljavsky, eds.), Physica-Verlag, 1993, 227-240.
• An Analysis of the Least Median of Squares Regression Problem
  Proc. 10th Symposium on Computational Statistics, Neuchâtel, Switzerland, August, 1992, (Y. Dodge and J. Whittaker, eds.), 1, Physica-Verlag, 1992, 471-476.
• Efficient Methods of Queueing Systems Simulation (with S.M. Ermakov and V.B. Melas)
  Proc. European Simulation Multiconference, Copenhagen, Denmark, June 17-19, 1991, (E. Mosekilde, ed.), 8-20.
• Using CSMP Language in the Simulation of Military Operations St.Petersburg State University, St.Petersburg, 1990. (in Russian)
• Optimization of Complex Systems for Simulation Modeling Vestnik Leningradskogo Universiteta. Ser.1, (1990), No.2(8), 100-102. (in Russian) English transl. in Vestnik Leningrad University: Mathematics, 23 (1990), No.2, 64-67.

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