Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes. (English) Zbl 0435.60094
Summary: In this paper a unified approach is used for proving relationships between customer-stationary and time-stationary characteristics of service systems with varying service rate and point processes. This approach is based on an intensity conservation principle for general stationary continuous-time processes with imbedded stationary marked point processes. It enables us to work under weaker independence assumptions than usual in queueing theory.
MSC:
60K25 | Queueing theory (aspects of probability theory) |
60G55 | Point processes (e.g., Poisson, Cox, Hawkes processes) |