Javad   JAVAD TAVAKOLI
     
 

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. 2-3, 151-179.
  • 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), 1139-1143 (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, 133-141.
  • Grassmann, Winfried K.; Tavakoli, Javad Spectrum of certain tridiagonal matrices when their dimension goes to infinity. Linear Algebra Appl. 431 (2009), no. 8, 1208-1217.
  • Grassmann, Winfried K.; Tavakoli, Javad Transient solutions for multi-server queues with finite buffers. Queueing Syst. 62 (2009), no. 1-2, 35-49.
  • Grassmann, Winfried K.; Tavakoli, Javad Stochastic and substochastic solutions for infinite-state Markov chains with applications to matrix-analytic methods. Adv. in Appl. Probab. 40 (2008), no. 4, 1157-1173.
  • Grassmann, Winfried K.; Tavakoli, Javad The continuous spectrum for the M/M/c queue. Linear Multilinear Algebra 56 (2008), no. 3, 319-331.
  • Grassmann, Winfried K.; Tavakoli, Javad A Bayesian approach to find random-time probabilities from embedded Markov chain probabilities. Probab. Engrg. Inform. Sci. 21 (2007), no. 4, 551-556.
  • Grassmann, Winfried K.; Tavakoli, Javad Two-station queueing networks with moving servers, blocking, and customer loss. Electron. J. Linear Algebra 13 (2005), 72-89.
  • Grassmann, Winfried K.; Tavakoli, Javad A tandem queue with a movable server: an eigenvalue approach. SIAM J. Matrix Anal. Appl. 24 (2002), no. 2, 465-474.
  • 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 M-sets". Italian Journal of Pure and Applied Mathematics. 10: 153 162, 2001.
  • Madanshekaf, A. and Tavakoli, J. "On the Category of M-sets". 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, 1199-1205.
  • 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, 387-392.
  • Tavakoli, J. "Tensor Products on Modules in a Topos". Bulletin of the Iranian Mathematical Society. 11.1-2: 23 32, 1988.
  • Tavakoli, Javad On products of modules in a topos. J. Austral. Math. Soc. Ser. A 38 (1985), no. 3, 416-420.
  • Tavakoli, Javad A characterization of geometric fields in a topos. Comm. Algebra 13 (1985), no. 1, 101-111.
  • Tavakoli, Javad Normal forms of matrices in topoi. Cahiers Topologie Geom. Differentielle 23 (1982), no. 3, 317-340.
  • Tavakoli, Javad Elements of free modules in topoi. Comm. Algebra 10 (1982), no. 2, 171-201.

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:

  1. 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.]
  2. 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.]
  3. 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 G-JSQ: 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 Two-dimensional 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).