Transient and Stationary Losses in a Finite-Buffer Queue with Batch Arrivals

被引：16

作者：

Chydzinski, Andrzej ^{[1
]}

Adamczyk, Blazej ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Informat, PL-44100 Gliwice, Poland

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷

关键词：

D O I：

10.1155/2012/326830

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present an analysis of the number of losses, caused by the buffer overflows, in a finite-buffer queue with batch arrivals and autocorrelated interarrival times. Using the batch Markovian arrival process, the formulas for the average number of losses in a finite time interval and the stationary loss ratio are shown. In addition, several numerical examples are presented, including illustrations of the dependence of the number of losses on the average batch size, buffer size, system load, autocorrelation structure, and time.

引用

页数：17

共 50 条

[1] Departure Process in Finite-Buffer Queue with Batch Arrivals
Kempa, Wojciech M.
[J]. ANALYTICAL AND STOCHASTIC MODELING TECHNIQUES AND APPLICATIONS, (ASMTA 2011), 2011, 6751 : 1 - 13
[2] Burst ratio in the finite-buffer queue with batch Poisson arrivals
Chydzinski, Andrzej
Samociuk, Dominik
Adamczyk, Blazej
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 330 : 225 - 238
[3] Study on Transient Queue-Size Distribution in the Finite-Buffer Model with Batch Arrivals and Multiple Vacation Policy
Kempa, Wojciech M.
Marjasz, Rafal
[J]. ENTROPY, 2021, 23 (11)
[4] PRACTICAL APPROXIMATIONS FOR FINITE-BUFFER QUEUING MODELS WITH BATCH ARRIVALS
NOBEL, RD
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1989, 38 (01) : 44 - 55
[5] Per-flow structure of losses in a finite-buffer queue
Chydzinski, Andrzej
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 428
[6] Modeling and performance analysis of a finite-buffer queue with batch arrivals, batch services, and setup times:: The MX/GY/1/K+B queue with setup times
Chang, Seok Ho
Choi, Dae Won
[J]. INFORMS JOURNAL ON COMPUTING, 2006, 18 (02) : 218 - 228
[7] A Direct Approach to Transient Queue-Size Distribution in a Finite-Buffer Queue with AQM
Kempa, Wojciech M.
[J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (03): : 909 - 915
[8] On non-stationary queue-size distribution in a finite-buffer queue controlled by a dropping function
Kempa, Wojciech M.
[J]. INFORMATICS 2013: PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON INFORMATICS, 2013, : 67 - 72
[9] Queue and Loss Distributions in Finite-Buffer Queues
Ciucu, Florin
Poloczek, Felix
Rizk, Amr
[J]. Performance Evaluation Review, 2019, 47 (01): : 65 - 66
[10] Queue and Loss Distributions in Finite-Buffer Queues
Ciucu, Florin
Poloczek, Felix
Rizk, Amr
[J]. PROCEEDINGS OF THE ACM ON MEASUREMENT AND ANALYSIS OF COMPUTING SYSTEMS, 2019, 3 (02) : 65 - 66

← 1 2 3 4 5 →