In this paper the authors consider two queuing models: M/G/1+Gw and M/G/1+Gs. These two models are derived from the single server queue model M/G/1 adding the hypothesis that customers arriving to the system are subjected to a form of impatience. In the M/G/1+Gw model, each customer arriving to the system estimates its expected waiting time, leaving the system if it is greater than his patience time. In the M/G/1+ Gs model each arriving customer compares its patient time with its expected response time, which is the sum of its waiting time plus its service time. The patience times are independent identically distributed variables with general distribution. For the two models, the authors study the distribution of the number of customers in the steady state and they develop an analysis of the busy period distribution. Leonardo Pasini
Recensione dell'articolo: (Boxma, Onno; Perry, David; Stadje, Wolfgang - " The M/G/1+G queue revisited " - Queueing Syst. 67 (2011), no.3, 207–220)
PASINI, Leonardo
2012-01-01
Abstract
In this paper the authors consider two queuing models: M/G/1+Gw and M/G/1+Gs. These two models are derived from the single server queue model M/G/1 adding the hypothesis that customers arriving to the system are subjected to a form of impatience. In the M/G/1+Gw model, each customer arriving to the system estimates its expected waiting time, leaving the system if it is greater than his patience time. In the M/G/1+ Gs model each arriving customer compares its patient time with its expected response time, which is the sum of its waiting time plus its service time. The patience times are independent identically distributed variables with general distribution. For the two models, the authors study the distribution of the number of customers in the steady state and they develop an analysis of the busy period distribution. Leonardo PasiniI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.