Mathematical Sciences Department
M.S. Berlin Technical University 1979
Dr. Sci. Berlin Technical University 1983
The following mathematicians were among Dr. Dshalalow's “academic ancestors.”
Johann Radon, Rudolf Lipschitz, Gustav Dirichlet, Ferdinand Frobenius, Karl Weierstraß, Friedrich Bessel, Carl Friedrich Gauß, Simeon Poisson, Joseph Lagrange, Leonhard Euler, Jacob Bernoulli, and Gottfried von Leibniz
See Dr. Dshalalow's academic genealogy at http://genealogy.math.ndsu.nodak.edu/id.php?id=19878
Spring 2014: Stochastic Processes 6:30 pm - 7:45 pm TR and Applied Discrete Mathematics 5:00 pm - 6:15 pm MW
GRADUATE COURSES: Stochastic Processes, Real Variables, Applied Discrete Mathematics, Stochastic Analysis of Financial Markets, Queueing Theory, Stochastic Signals, Statistics I and II, Stochastic Models, Complex Variables, Introductory Analysis.
UNDERGRADUATE COURSES: Biostochastics, Topology, Probability and Statistics, Linear Algebra, Complex Variables, Boundary Value Problems, Differential Equations, Calculus III.
Dr. Dshalalow had been the editor-in-chief of the Journal of Applied Mathematics and Stochastic Analysis. He is a regional editor of the Engineering Simulation. He is also an associate editor of seven other international journals, including Journal of Inequalities and Applications and Intern. Journal of Mathematics and Mathematical Sciences, and International Journal of Stochastic Analysis.
Dr. Dshalalow was awarded several times by the National Science Foundation, NSA, and US Army. He was nominated several times for academic and research excellence.
Dr. Dshalalow wrote a graduate level textbook "Foundations of Abstract Analysis" published by Springer New York, 2012, “Real Analysis,” a graduate level textbook, by Chapman & Hall, 2001, and two books, "Advances in Queuing” and “Frontiers in Queuing” by CRC Press, that appeared in 1995 and 1997, respectively.
From 1993 to 2010 Dr. Dshalalow produced 16 doctoral students in the areas of stochastic games, mathematical finance, and queueing theory, see Math Genealogy Project at http://genealogy.math.ndsu.nodak.edu/id.php?id=19878
Dr. Dshalalow is currently involved in research on strategic defense of stochastic networks, antagonistic stochastic games, stochastic finance, applications of stochastics in biology, and modulated random measures.
On strategic defense in stochastic networks (jointly with Ryan White), Stochastic Analysis and Applications, accepted for publication.
On reliability of stochastic networks (jointly with Ryan White), Neural, Parallel, and Scientific Computations, 21 (2013) 141-160.
On one-sided stochastic games and their applications to finance (jointly with Randy Robinson), Stochastic Models, 28 (2012), 1-14.
On unbiased and consistent estimator for mutation rates, (jointly with Niccum, B.A., Poteau, R., Hamman, G.E., Varada, J.C. and Sinden, R.R.) Journal of Theoretical Biology, 300 (2012), 360-367.
Time sensitive functionals in classes of queues with sequential maintenance (jointly with N. Al-Matar), Stochastic Models: In the Special Issue Dedicated to Marcel Neuts, 27 (2011), 687-704.
Anatolii Andreevich Martynuyk (jointly with P. Borne, Freedman, H., C. Gaishun, C. Izobov, Cruz-Hernandes, Z., Samoilenko, A., Stavrulakis, I., Sun Zhen qi), Journal of Differential Equations, 47:3 (2011), 305-306
On fluctuations of a nonmonotone marked point process under a time constraint (jointly with Randy Robinson), Neural, Parallel, and Scientific Computations, 20 (2012), 249-262.
Fluctuation analysis in a queue with (L-N)-policy and secondary maintenance. Continuous time parameter process and numerics (jointly with M. Alzahrani), Engineering Simulation, 33:5 (2011), 19-42.
Sequential antagonistic games with initial phase (with W. Huang), in FUNCTIONAL EQUATIONS AND DIFFERENCE INEQUALITIES AND ULAM STABILITY NOTIONS , Dedicated to Stanislaw ULAM, on his 100-th birthday anniversary, Chapter 2, (2010) 15-36, Nova Sci. Publ.
Operational calculus in noncooperative stochastic games (with A. Treerattrakoon), Nonlinear Dynamics and System Theory, 10:1 (2010), 39-54.
Multilayers in a Modulated Stochastic Game (with Hao-Jan Ke), Journ. of Math. Analysis and Applications, 353 (2009), 553-565.
Multiphase fluctuation analysis in a queue with an enhanced maintenance. Continuous time parameter process (with A. Alghamdi), Nonlinear Studies, 17:3 (2010), 199-215.
Tandem antagonistic games (with W. Huang), Nonlinear Analysis, Series A, Theory and Methods, 71 (2009), 259-270.
Maintenance in single-server queues. A game-theoretic approach (with N. Al-Matar), Mathematical Problems in Engineering, Vol. 2009, 1-23.
Random walk analysis in antagonistic stochastic games, Stoch. Analysis and Applications 26 (2008), 738783.
Set-theoretic inequalities in stochastic noncooperative games with coalition (with A. Treerattrakoon), Journal of Inequalities and Applications, 2008.
On multivariate antagonistic marked point processes, Math. and Comp. Modeling, 49 (2009) 432-452.
Characterization of modulated Cox measures on topological spaces, in special volume dedicated to tricentennial of L. Euler, Int Journ Appl Math Stat, 11:7, 2007.
A stochastic games with a two-phase conflict (with W. Huang), in Jubilee Volume: Legacy of the Legend, Professor V. Lakshmikantham, Cambridge Scientific Publishers, 2009.
On Dual hybrid queueing systems (with L. Abolnikov and A. Treerattrakoon), Nonlin Analysis; Hybrid Systems, 2:1 (2008), 96-109
Random Walk Analysis of Parallel Queueing Stations, Math. and Comp. Modeling (with L. Abolnikov and R. Agarwal), 47, 2008, 452-468
On exit time of a multivariate random walk and its embedding in a quasi-Poisson process, Stoch Anal and Applications (with A. Liew), 24 (2006), 451-474.
On fluctuations of a multivariate random walk with some applications to stock options trading and hedging (with A. Liew), Math. and Comp. Modeling, 44:10 (2006), 931-944.
Hybrid queueing systems with hysteretic bilevel control policies (with S. Kim and L. Tadj), Nonlin Analysis, 65:11 (2006), 2153-2168.
On level crossings of an oscillating marked random walk (with A. Liew), Comp. and Mathematics with Appl., 52 (2006), 917-932.
On exit times of a multivariate random walk with some applications to finance, Nonlin Analysis, 63, 569-577, 2005.
New fluctuation analysis of D-policy bulk queues with multiple vacations, Mathematical and Computer Modeling (with R. Agarwal), 41 (2005), 253-269.
On multivariate delayed recurrent processes, PanAmerican Journ Math (with R. Agarwal), 15:3 (2005), 35-49.
Random observations of marked Cox processes. Time insensitive functionals, Journal Mathematical Analysis and Applications (with R. Agarwal and D. O'Regan), 293 (2004), 1-13
"Fluctutations of recurrent processes and their applications to the stock market," Stoch Anal and Applications, (2004) 22:1.
Time sensitive functionals of marked Cox processes, Journ Math Anal and Applications (with R. Agarwal and D. O'Regan), 293 (2004), 14-27.
Generalized modulated random measures and their potentials, Stoch Anal and Applications (with R. Agarwal and D. O'Regan), 22:4 (2004), 971-988.
A versatile stochastic reliability model with reserve and super-reserve machines, Meth and Computing in Appl Probab (with S-K. Kim), 5:1, 2003 (59-84).
Stochastic disaster recovery systems with external resources, Math and Comp Modeling (with S-K. Kim), 36, 2002 (1235-1257).
Time dependent analysis of multivariate marked renewal processes, J. Appl. Prob. (2001) 38:3.
On functionals of a marked Poisson process observed by a renewal process, Intern. Journ. Math. and Math. Sciences (with Jean-Baptiste Bacot), 24, 2001.
On a bulk input queueing system with batch gated service and multiple vacation policy, Computers Math. Appl., 35, 2001 (with J.-B. Bacot).
Bulk input queues with hysteretic control, Queueing Sys. (with E. Dikong), 32, 287-304, 1999.
Queueing processes in bulk systems under D-policy, Journ. Appl. Prob., 35, 976-989, 1999.
On intensities of modulated Cox measures, Ryszard Syski Special Issue JAMSA, 11:3, 1998.
Queues with hysteretic control by vacation and post-vacation periods. Queueing Systems, 29, 231-268, 1998.
On the level crossing of multidimensional delayed renewal processes, in: Special Issue STOCHASTIC SYSTEMS, JAMSA, 10:4 (1997), 355-361.
Ergodic theorems for modulated stochastic processes, in: Proceeding of the First International Congress of Nonlinear Analysts '92, Walter de Gruyter, Berlin, 1745-1755, 1996.
On termination time processes, in: Studies in Applied Probability; Essays in honour of Lajos Takacs (ed.'s J. Galambos and J. Gani), Applied Probability Trust, Sheffield, U.K., 325-336, 1994.
First excess level analysis of random processes in a class of stochastic servicing systems with global control, Stoch. Anal. Appl., 12:1, 75-101, 1994.
A queueing system with random server capacity, Queueing Sys. (with L. Tadj), 1994.
On applications of first excess random processes to queueing systems with random server capacity and capacity dependent service time, Stochastics and Stochastic Reports, 45, 45-60, 1993 (with L. Tadj).
Stochastic analysis of a control bulk queueing system with continuously operating server: continuous time parameter queueing process, Prob. Stat. Letters, 16:1, 121-128, 1993 (with L. Abolnikov and A. Dukhovny).
Semi-regenerative analysis of controlled bulk queueing systems with a bilevel service delay discipline and some ergodic theorems, Computers Math. Appl., 25:3, 107-116, 1993 (with L. Abolnikov).
Single-server queues with with controlled bulk service, random accumulation level, and modulated input, Stoch. Anal. Appl., 11:1, 29-41, 1993.
A multilevel control bulk queueing system with vacationing server, Oper. Res. Letters, 13, 183-188, 1993 (with L. Abolnikov and A. Dukhovny).
On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow, Int. J. Math. and Math. Sci., 15:3, 593-600, 1992 (with G. Russell)
Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline. Part I, Applied Math. Letters, 5:4, 25-27, 1992 (with L. Abolnikov).
Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline. Part II, Applied Math. Letters, 5:5, 15-18, 1992 (with L. Abolnikov).
On single-server closed queues with priorities and state dependent parameters, Queueing Sys., 8, 237-254, 1991.
On some queue length controlled stochastic processes, J. Appl. Math. Stoch. Anal., 3:4, 227-244, 1990 (with L. Abolnikov and A. Dukhovny).
Multi-channel queueing system with controlled input and state-dependent service, Journ. Appl. Prob., 26:2, 345-362, 1989.
On a duality principle in processes of servicing machines with double control, Journ. Appl. Math. Simulation, 1:3, 245-252, 1988.
Infinite channel queueing system with state-dependent input, Math. Oper. Res., 12:4, 665-677, 1987.
On the multiserver queue with finite waiting room and controlled input, Adv. Appl. Prob., 17 (1985), 408-423.