A Polynomial Factorization Approach for the Discrete Time GIX/>G/1/K Queue |
| |
Authors: | Linwong Pinai Kato Nei Nemoto Yoshiaki |
| |
Institution: | (1) Graduate School of Information Science, Tohoku University, Aramaki-Azo-Aoba, 05, Aoba-Ku, Sendai-Shi, 980-8579 Miyagi-Ken, Japan |
| |
Abstract: | This paper proposes a polynomial factorization approach for queue length distribution of discrete time GI
X
/G/1 and GI
X
/G/1/K queues. They are analyzed by using a two-component state model at the arrival and departure instants of customers. The equilibrium state-transition equations of state probabilities are solved by a polynomial factorization method. Finally, the queue length distributions are then obtained as linear combinations of geometric series, whose parameters are evaluated from roots of a characteristic polynomial. |
| |
Keywords: | discrete time GI
X
/G/1/K root finding algorithm queue length distribution |
本文献已被 SpringerLink 等数据库收录! |
|