๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The departure process of a quorum queueing system

โœ Scribed by L. Tadj; C. Tadj

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
691 KB
Volume
45
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

study in this paper the departure process of a bulk service queueing system. The server operates under a minimum batch size strategy. We characterize the departure process through the distribution of the interdeparture times of batches and of customers, the distribution of the number of customers in a batch, and the coefficient of correlation between the interdeparture time of a batch and the number of customers in the batch. A numerical illustration is presented.

๐Ÿ“œ SIMILAR VOLUMES

Matrix analytic solution to a quorum que
Matrix analytic solution to a quorum queueing system
โœ L Tadj; N.E Rikli ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 715 KB

A quorum queueing system is considered here. It is assumed that the server activation is triggered only if the queue size is larger than or equal to r. Furthermore, after a service completion, if the queue size is less than r the server is assumed to wait for the queue to be filled. Once the queue r

Approximation for the departure process
Approximation for the departure process of a queue in a network
โœ Susan L. Albin; Sheng-Roan Kai ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 985 KB

A simple renewal process is identified to approximate the complex departure process of a queue often found in queueing network models. The arrival process to the queue is the superposition or merging of several independent component-renewal processes that are approximations of departure processes fr