Transient analysis of a renewal input multiserver queueing model with infinite buffer

被引：0
作者：
Soundararajan, Ashwini [1 ]
Barbhuiya, F. P. [1 ]
机构：
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, India
来源：
OPERATIONS RESEARCH LETTERS | 2025年 / 60卷
关键词：
Difference equation; Heavy-tailed; Multiserver; Renewal; Supplementary variable; Transient; POISSON QUEUE; GI/M/C QUEUE; STREAM;
D O I：
10.1016/j.orl.2025.107275
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper presents a time-dependent solution for the system-content distribution of the infinite buffer GI/M/c queue. The supplementary variable and the difference equation technique is used to obtain the probabilities in terms of Laplace transform. Some relevant performance measures are derived and extensive numerical results are presented. It covers a comparison of the impact of heavy-tailed and light-tailed interarrival time distributions on the transient behavior of the system and the underlying system characteristics.
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