Integral representations and asymptotics for infinite- and finite-capacity queues described by the unfinished work II

SIAM Journal on Applied Mathematics

Volumn 57, Issue 3, 1997, Pages 824-870

  Tan, Xiaoqian ^a   Knessl, Charles ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

Asymptotics; Queues; Unfinished work

Indexed keywords

ASYMPTOTIC STABILITY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY;

SADDLE POINT METHOD; UNFINISHED WORK;

QUEUEING THEORY;

EID: 0031162805     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s003613999427680x     Document Type: Article

References (5)

1. X. TAN AND C. KNESSL, Integral representations and asymptotics for infinite- and finite-capacity queues described by the unfinished work I, SIAM J. Appl. Math., 57 (1997), pp. 791-823.
2. L. J. SLATER, Confluent Hypergeometric Functions, Cambridge University Press, New York, 1960.
3. X. TAN, Integral Representations and Asymptotics for Infinite and Finite Capacity Queues Described by the Unfinished Work, Ph.D. thesis, Dept. of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 1995.
4. W. H. BEYER, Standard Mathematical Tables, 28th ed., CRC Press, Boca Raton, FL, 1987.
5. C. M. BENDER AND S. A. ORSZAG, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 1978.