On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow

International Journal of Mathematics and Mathematical Sciences

Jewgeni H. Dshalalow¹  GaryRussell¹ 

[1] Department of Applied Mathematics, Florida Institute of Technology, Melbourne 32901, FL, USA;

关键词: queueing process;    semi-Markov process;    semi-regenerative process;    embedded Markov chain;    semi-Markov modulated Poisson process;    equilibrium;    continuous time parameter process;    service cycle;    idle period;    busy period;    intensity of the process.;   

DOI  :  10.1155/S0161171292000759

来源: DOAJ

【 摘 要 】

The authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r≥1 and that any service act will not begin until the queue accumulates at least r units. In this model, therefore, idle periods also depend upon the queue length.

【 授权许可】

Unknown