

Publications & Other Scholarly Output
(ALL JOINT WORKS ARE CITED IN ALPHABETICAL ORDER)
Refereed Publications:
Journal Articles
 Grassmann, Winfried K.; Tavakoli, Javad Efficient Methods to find the Equilibrium Distribution of the number of Customers in GI/M/c Queues. INFOR 52, No. 4, (2015)
 Grassmann, Winfried K.; Tavakoli, Javad; Tirdad, Ali Optimal policies of M(t)/M/c/c queues with two different levels of servers (accepted, EJOR)
 Li, Hui; Tavakoli, Javad; Zhao, Yiqiang Q. Analysis of exact tail asymptotics for singular random walks in the quarter plane. Queueing Syst. 74 (2013), no. 23, 151179.
 Tavakoli, Javad; Zafari, Z. New approach for fuzzy control and analysis of queuing system with flexible service time. Lecture Notes in Engineering and Computer Science 2189 (1), 11391143 (2011).
 Grassmann, Winfried K.; Tavakoli, Javad Comparing some algorithms for solving QBD processes exhibiting special structures. INFOR Inf. Syst. Oper. Res. 48 (2010), no. 3, 133141.
 Grassmann, Winfried K.; Tavakoli, Javad Spectrum of certain tridiagonal matrices when their dimension goes to infinity. Linear Algebra Appl. 431 (2009), no. 8, 12081217.
 Grassmann, Winfried K.; Tavakoli, Javad Transient solutions for multiserver queues with finite buffers. Queueing Syst. 62 (2009), no. 12, 3549.
 Grassmann, Winfried K.; Tavakoli, Javad Stochastic and substochastic solutions for infinitestate Markov chains with applications to matrixanalytic methods. Adv. in Appl. Probab. 40 (2008), no. 4, 11571173.
 Grassmann, Winfried K.; Tavakoli, Javad The continuous spectrum for the M/M/c queue. Linear Multilinear Algebra 56 (2008), no. 3, 319331.
 Grassmann, Winfried K.; Tavakoli, Javad A Bayesian approach to find randomtime probabilities from embedded Markov chain probabilities. Probab. Engrg. Inform. Sci. 21 (2007), no. 4, 551556.
 Grassmann, Winfried K.; Tavakoli, Javad Twostation queueing networks with moving servers, blocking, and customer loss. Electron. J. Linear Algebra 13 (2005), 7289.
 Grassmann, Winfried K.; Tavakoli, Javad A tandem queue with a movable server: an eigenvalue approach. SIAM J. Matrix Anal. Appl. 24 (2002), no. 2, 465474.
 Khoshkam, M. and Tavakoli, J. "Categorical Constructions in C*Algebras Theory". Journal of the Australian Mathematical Society. 73.1: 97 – 113, 2002.
 Madanshekaf, A. and Tavakoli, J. "Tiny Objects in the Category of Msets". Italian Journal of Pure and Applied Mathematics. 10: 153 – 162, 2001.
 Madanshekaf, A. and Tavakoli, J. "On the Category of Msets". Far East Journal of Mathematical Sciences. 2.2: 251 – 260, 2000.
 Tavakoli, Javad Locally free vector spaces in a topos. Comm. Algebra 24 (1996), no. 4, 11991205.
 Tavakoli, J. "Sheaves on Posets". Proceedings of the 25th Annual Iranian Mathematics Conference. Tehran, Iran (1994).
 Tavakoli, J. "A Note on the Sheaf Functor". Bulletin of the Iranian Mathematical Society. 18.1: 1 – 7, 1992.
 Tavakoli, Javad On topologies in a topos. Bull. Austral. Math. Soc. 41 (1990), no. 3, 387392.
 Tavakoli, J. "Tensor Products on Modules in a Topos". Bulletin of the Iranian Mathematical Society. 11.12: 23 – 32, 1988.
 Tavakoli, Javad On products of modules in a topos. J. Austral. Math. Soc. Ser. A 38 (1985), no. 3, 416420.
 Tavakoli, Javad A characterization of geometric fields in a topos. Comm. Algebra 13 (1985), no. 1, 101111.
 Tavakoli, Javad Normal forms of matrices in topoi. Cahiers Topologie Geom. Differentielle 23 (1982), no. 3, 317340.
 Tavakoli, Javad Elements of free modules in topoi. Comm. Algebra 10 (1982), no. 2, 171201.
Submitted Journal Articles
 Grassmann, W., Tavakoli, J., and Tirdad, A. Modeling Flu Epidemic Arrivals at an Emergency Department with Two Different Level of Servers Using a Seasonally Forced SIR, submitted to JORS.
 Tavakoli, J. Automorphism group object of a tiny object in a model of SDG, submitted to Communications in Algebra.
 Tavakoli, J. Topology and open maps, submitted to Theory and Applications of Categories.
 Grassmann, W. K. and Tavakoli, J. Transition probabilities for an embedded Markov chain with applications to GI/M/c Queues, submitted to Journal of the Operational Research Society.
Unrefereed Publications
Books:
 Tavakoli, J. Basic Mathematics: An Aboriginal Perspective. UBC Okanagan, 550 pgs (2014). [At UBC Okanagan, I developed a method of teaching and learning mathematics from an
Aboriginal perspective, which is unique of its kind in Canada. This book is a resource for this new method.]
 Calculus Reference Committee. Calculus 30, a Curriculum Guide for the Secondary Level. Regina, Saskatchewan: Saskatchewan Learning, 340 pages,
2005. [I was a member of the Calculus Reference Committee which created this book.]
 Tavakoli, J. and Taylor, K. Course Guide for Math Readiness. University of Saskatchewan, Saskatoon, Saskatchewan, 448 pages, 2002.
Conference Proceedings
 Tavakoli, J. "Sheaf Theory and Representations of Rings". Proceedings of the 23rd
Annual Iranian Mathematics Conference. Kermanshah, Iran (1992).
 Tavakoli, J. "Elementary Toposes and its Applications". Proceedings of the 20th Annual
Iranian Mathematics Conference. Tehran, Iran (1989).
 Tavakoli, J. "Vector Spaces in a Topos with (IC)". Proceedings of the 14th Annual
Iranian Mathematics Conference. Kerman, Iran (1982).
Works in Progress (Not yet submitted)
Journal Articles
 Tavakoli, J. and Zhao, Y. Exact Tail Asymptotics Behavior of the GJSQ: A kernel
Method Approach (50% complete).
 Tavakoli, J. Bourbaki Fixed point lemma in a topos, under revision (85% complete).
 Tavakoli, J. and Zhao, Y. A Survey on Twodimensional random walk and its
Applications in Queueing Systems (60% complete).
 Tavakoli, J. A Note on Equivalency of Category of Sheaves on a Connected Locale and
Category of Fuzzy Sets (90% complete).
 Tavakoli, J. Topology on a Poset and its Application on Natural Numbers Object in a
Grothedieck Topos (75% complete).
 Tavakoli, J. Bourbaki Fixed Point Lemma in a Topos (80% complete).
 Grassmann, W. and Tavakoli, J. A System Dynamics Model of Education and
Unemployment in the Aboriginal Population of British Columbia (50% complete).
Book
 Tavakoli, J. and Zhao, Y. An introduction to random walks in the quarter plane and
applications in queueing systems (60% complete).
