Stability and conditioning issues on the numerical solution of Markov chains () - Tugrul Dayar (1994)

The Arithmetic Mean Method for Finding the Stationary Vector of Markov Chains. - Michele Benzi; Tugrul Dayar (Parallel Algorithms Appl., 1995)

On the Effects of Using the Grassmann-Taksar-Heyman Method in Iterative Aggregation-Disaggregation. - Tugrul Dayar; William J. Stewart 001 (SIAM J. Sci. Comput., 1996)

Quasi Lumpability, Lower-Bounding Coupling Matrices, and Nearly Completely Decomposable Markov Chains. - Tugrul Dayar; William J. Stewart 001 (SIAM J. Matrix Anal. Appl., 1997)

Iterative methods based on splittings for stochastic automata networks. - Ertugrul Uysal; Tugrul Dayar (Eur. J. Oper. Res., 1998)

State Space Orderings for Gauss-Seidel in Markov Chains Revisited. - Tugrul Dayar (SIAM J. Sci. Comput., 1998)

Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains. - Tugrul Dayar; William J. Stewart 001 (SIAM J. Sci. Comput., 2000)

Stochastic Automata Networks and Near Complete Decomposability. - Oleg Gusak; Tugrul Dayar; Jean-Michel Fourneau (SIAM J. Matrix Anal. Appl., 2001)

Quasi-Birth-and-Death Processes with Level-Geometric Distribution. - Tugrul Dayar; Franck Quessette (SIAM J. Matrix Anal. Appl., 2002)

Lumpable continuous-time stochastic automata networks. - Oleg Gusak; Tugrul Dayar; Jean-Michel Fourneau (Eur. J. Oper. Res., 2003)

Iterative disaggregation for a class of lumpable discrete-time stochastic automata networks. - Oleg Gusak; Tugrul Dayar; Jean-Michel Fourneau (Perform. Evaluation, 2003)

Transforming stochastic matrices for stochastic comparison with the st-order. - Tugrul Dayar; Jean-Michel Fourneau; Nihal Pekergin (RAIRO Oper. Res., 2003)

Comparison of Multilevel Methods for Kronecker-based Markovian Representations. - Peter Buchholz 001; Tugrul Dayar (Computing, 2004)

On Moments of Discrete Phase-Type Distributions. - Tugrul Dayar (EPEW/WS-FM, 2005)

Componentwise bounds for nearly completely decomposable Markov chains using stochastic comparison and reordering. - Nihal Pekergin; Tugrul Dayar; Denizhan N. Alparslan (Eur. J. Oper. Res., 2005)

Computing Moments of First Passage Times to a Subset of States in Markov Chains. - Tugrul Dayar; Nail Akar (SIAM J. Matrix Anal. Appl., 2005)

Block SOR Preconditioned Projection Methods for Kronecker Structured Markovian Representations. - Peter Buchholz 001; Tugrul Dayar (SIAM J. Sci. Comput., 2005)

Topic 2 Performance Prediction and Evaluation. - Wolfgang E. Nagel; Bruno Gaujal; Tugrul Dayar; Nihal Pekergin (Euro-Par, 2007)

On the Convergence of a Class of Multilevel Methods for Large Sparse Markov Chains. - Peter Buchholz 001; Tugrul Dayar (SIAM J. Matrix Anal. Appl., 2007)

Kronecker representation and decompositional analysis of closed queueing networks with phase-type service distributions and arbitrary buffer sizes. - Tugrul Dayar; Akin Meriç (Ann. Oper. Res., 2008)

Analyzing Large Sparse Markov Chains of Kronecker Products. - Tugrul Dayar (QEST, 2009)

A software tool for the steady-state analysis of Google-like stochastic matrices. - Tugrul Dayar; Gökçe Nil Noyan (VALUETOOLS, 2009)

On the Numerical Analysis of Stochastic Lotka-Volterra Models. - Tugrul Dayar; Linar Mikeev; Verena Wolf (IMCSIT, 2010)

Bounding the equilibrium distribution of Markov population models. - Tugrul Dayar; Holger Hermanns; David Spieler; Verena Wolf (Numer. Linear Algebra Appl., 2011)

Kronecker-Based Infinite Level-Dependent QBD Processes. - Tugrul Dayar; M. Can Orhan (J. Appl. Probab., 2012)

On the numerical solution of Kronecker-based infinite level-dependent QBD processes. - Hendrik Baumann; Tugrul Dayar; M. Can Orhan; Werner Sandmann (Perform. Evaluation, 2013)

On Vector-Kronecker Product Multiplication with Rectangular Factors. - Tugrul Dayar; M. Can Orhan (SIAM J. Sci. Comput., 2015)

Compact Representation of Solution Vectors in Kronecker-Based Markovian Analysis. - Peter Buchholz 001; Tugrul Dayar; Jan Kriege; M. Can Orhan (QEST, 2016)

Steady-state analysis of a multiclass MAP/PH/c queue with acyclic PH retrials. - Tugrul Dayar; M. Can Orhan (J. Appl. Probab., 2016)

On compact solution vectors in Kronecker-based Markovian analysis. - Peter Buchholz 001; Tugrul Dayar; Jan Kriege; M. Can Orhan (Perform. Evaluation, 2017)

Efficient Transient Analysis of a Class of Compositional Fluid Stochastic Petri Nets. - Peter Buchholz 001; Tugrul Dayar (DSN, 2018)

A Software Tool for the Compact Solution of the Chemical Master Equation. - Tugrul Dayar; M. Can Orhan (MMB, 2018)

On compact vector formats in the solution of the chemical master equation with backward differentiation. - Tugrul Dayar; M. Can Orhan (Numer. Linear Algebra Appl., 2018)