Publications 1993 and later
For Books: See Books
- W. K. Grassmann, J. Tavakoli. Transient Solutions for Multi-server
Queues with Finite Buffers. Queueing Systems 2009, vol 62, 35-49.
- W. K. Grassmann, J. Tavakoli. Spectrum of Certain Tridiagonal
Matrixes when Their Dimension Goes to Infinity.
Linear Algebra and Its Applications 2009, vol 431, 1208-1217.
- W. K. Grassmann, When, and when not to Use Warm-up Periods in Discrete Event Simulation.
SimuTools 2009, Rome 2009.
- W. K. Grassmann. Stochastic and Substochastic Solutions for Infinite-State Markov
Chains with Applications to Matrix-Analytic Methods.
Adv. Appl. Prob. 2008, vol 40, 1157-1173.
- W. K. Grassmann, M. L. Puterman, P. L'Ecuyer, A. Ingolfsson. Three Canadian
Contributions to Stochastic Modeling.
INFOR, 2008. vol 46(1), 3-14.
- W. K. Grassmann. Warm-Up Periods in Simulation can be Detrimental,
Probability in the Engineering and Informational Sciences,, 2008, vol 22, 415-429.
- W. K. Grassmann,S. Drekic. Multiple Eigenvalues in Spectral Analysis for Solving
QBD Processes
Methodology and Computing in Applied Probability. , 2008, vol. 10, 73-83.
- W. K. Grassmann and J. Tavakoli. The Continuous Spectrum for the M/M/1 queue.
Linear and Multilinear Algebra, vol 56(3), 2008, 319-331
- W. K. Grassmann and J. Tavakoli, A Baysian Approach to Find Random-Time Probabilitiesr
from Embedded Markov Chain Probabilities.
Probability in the Engineering and Informational
Sciences.
vol. 21, 2007, 551-556.
- W. K. Grassmann, J. Tavakoli. Two-station Queueing Networks
with Moving Servers, Blocking, and Customer Loss
Electronic Journal of Linear Algebra,
vol. 13, 2005.
- W. K. Grassmann, J. Luo. Simulating Markov-Reward Processes
with Rare Events. vol. 15(2), April 2005, pages 138-154
ACM Transactions on Modeling and Computer Simulation.
- J. Luo and W. K. Grassmann, 2004. Rate Tilting for Fast Simulation of
Level/Phase Processes, Linear Algebra and its Applications 386, 261-284.
- W. K. Grassmann, 2004. Finding Equilibrium Probabilities of QBD Processes
by Spectral Methods when Eigenvalues Vanish,
Linear Algebra and its Applications 386, 207-223.
- W. K. Grassmann, 2003. The Use of Eigenvalues for Finding Equilibrium
Probabilities of Certain Markovian Two-dimensional Queueing Problems.
INFORMS Journal on Computing, vol. 15(4), 412-421.
- S. Drekic and W. K. Grassmann. 2002. An Eigenvalue Approach to Analyzing
a Finite Source Queueing Model. Annals of Operations Research 112,
139-152.
- W. K. Grassmann. 2002. Real Eigenvalues of Certain Tridiagonal Matrix
Polynomials, with Queueing Applications.
Linear Algebra and its ApplicationsVol. 342, 93-106.
- W. K. Grassmann and J. Tavakoli. 2002. A Tandem Queue with a Movable
Server: An Eigenvalue Approach. SIAM Journal on Matrix Analysis and
Applications, Vol. 24(2), 465-474.
- S. Drekic and W. K. Grassmann. 2002. An Eigenvalue Approach to Analysing
a Finite Source Priority Queueing Model. Annals of Operations Research,
Vol. 112, 139-152.
- W. K. Grassmann, X. Chen, B. R. K. Kashyap. 2001.
Optimal Service Rates for the State-dependent M/G/1 Queue in Steady
State. Operations Research Letters, vol. 29, 57-63.
- D. A. Stanford and W. K. Grassmann. 2000.
Bilingual Server Call Centres.
in: Ananlysis of Communication Networks: Call Centres, Traffic and
Performance, D. R. McDonald and S. R. E. Turner, editors.
Fields Institute Communications, 31-47.
- W. K. Grassmann and S. Drekic. 2000.
An Analytical Solution for a Tandem Queue with Blocking.
Queueing Systems, vol. 36, 221-235.
- W. K. Grassmann. 1998.
Finding Test Data for Markov Chains with Repeating Columns,
in: Advances in Matrix-Analytic Methods for Stochastic Systems, A.S. Alfa,
S. R. Chakravarthy, editors, Notable Publications, Inc., New Jersey.
- W. K. Grassmann, Y. Zhao. 1997.
Heterogeneous Multiserver Queues with General Input.
INFOR 35, 208-224.
- W. K. Grassmann. 1996. Optimizing Steady State Markov Chains by State
Reduction, European Journal of Operational Research 89 (1996), 277-284
- W. K. Grassmann, X. Chen. 1995.
The Use of Derivatives for Optimizing Steady State Queues.
Journal of the Operational Research Society 46, 104-115.
- W. K. Grassmann, Y. Wang. 1995.
Immediate Events in Markov Chains.
In: W. J. Stewart, Computations with Markov Chains, Kluwer Academic
Publishers, 163-176.
- Yiqiang Zhao, Winfried K. Grassmann. 1995. Queueing Analysis of a
Jockeying Model. Operations Research 43, 520-529.
- Winfried Grassmann. 1993. Rounding Errors in Certain Algorithms Involving
Markov Chains, ACM Transaction on Mathematical Software, 496-508.
David Stanford, Winfried Grassmann, 1993. The Bilingual
Server System. INFOR, 261-277.
- D. A. Stanford, W. K. Grassmann. 1993.
The Bilingual Server System: a Queueing Model
Featuring Fully and Partially Qualified Servers. INFOR 31, 261-277.
- Winfried Grassmann, Daniel Heyman, 1993. Computation of Steady-State
Probabilities for Infinite-State Markov Chains with Repeating Rows.
ORSA Journal on Computing, 282-303.
This page last modified March 31, 2005