Literature cited
D. P. Gaver and G. S. Shedler, “Processor utilization in multiprogramming,” in: Systems via Diffusion Approximation, Oper. Res., 21(2) (1971).
D. P. Gaver and G. S. Shedler, “Approximate models for processor utilization in multi-programmed computer systems,” SIAM J. Comput.,2, No. 3, 183–192 (1973).
H. Kobayashi, “Application of the diffusion approximation to queueing networks. I,” J. Assoc. Comput. Mach.,21, No. 2, 316–328 (1974); II. J. Assoc. Comput. Mach.,23, No. 3, 459–469 (1974).
M. Ret, “Diffusion approximation for a certain multiprogramming system,” in: Fourth Internat. Symp. on Information Theory. Abstract of Proceedings, Part 1, Moscow-Leningrad (1971), pp. 165–167.
A. A. Samarskii, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).
Additional information
Translated from Issledovaniya po Prikladnoi Matematike, No. 7, pp. 95–102, 1979.
Rights and permissions
About this article
Cite this article
Begovatov, E.A., Lapin, A.V. Diffusion approximation in closed queueing systems. J Math Sci 43, 2481–2485 (1988). https://doi.org/10.1007/BF01095656
Issue Date:
DOI: https://doi.org/10.1007/BF01095656