Mathematical Models of the Queuing Systems with MMPP Flow and Instantaneous Feedback

被引：0

作者：

Melikov, Agassi ^{[1
]}

Aliyeva, Sevinc ^{[2
]}

机构：

[1] Natl Acad Sci Azerbaijan, Inst Control Syst, Baku, Azerbaijan

[2] Baku State Univ, Baku, Azerbaijan

来源：

DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2019) | 2019年 / 1141卷

关键词：

Single channel queue; Instantaneous feedback; Methods for calculation; MULTIPLE TYPES; M/G/1; QUEUE;

D O I：

10.1007/978-3-030-36625-4_23

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

Mathematical models of the single channel queuing system with MMPP flow and instantaneous feedback are proposed. After completion of the service, calls either leave the system or, immediately return to system to receive repeated services. Service times both of primary and feedback (secondary) calls has exponential distribution but with different parameters. Primary calls have pre-emptive priority over feedback calls. Ergodicity conditions of the models are established and methods to calculation of stationary distribution of the appropriate three-dimensional Markov chains (3D MC) as well as explicit formulas to determining the performance measures of the proposed models are developed.

引用

页码：288 / 301

页数：14

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