An application of Gegenbauer polynomials in queueing theory

DOI10.1016/0377-0427(93)90128-XzbMath0789.60075MaRDI QIDQ1318381

Gerard Hooghiemstra, H. Bavinck, Ellen De Waard

Publication date: 27 March 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Markov processGegenbauer polynomialsPoisson processesqueueing systemsymmetric coupled processor

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

ANALYSIS OF FINITE CAPACITY QUEUE WITH NEGATIVE CUSTOMERS AND BUNKER FOR OUSTED CUSTOMERS USING CHEBYSHEV AND GEGENBAUER POLYNOMIALS ⋮ Taylor series expansions for Poisson-driven (max,+)-linear systems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Power Series for Stationary Distributions of Coupled Processor Models
• Processor-sharing of two parallel lines
• Two coupled processors: The reduction to a Riemann-Hilbert problem

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