The Priority of Inbound Calls over Outbound Calls Modeled as a Discrete-Time Retrial/Delay System
A one-server discrete-time queueing model is studied with two arrival streams.Both arrival streams are in batches and we distinguish between a stream of low-priority customers,who are put in a queue which is served on a first-come-first-served basis,and a stream of(primary)high-priority customers,who are served uninterruptedly when the batch of high-priority customers finds the server idle upon arrival.Highpriority customers are treated as retrial customers,but once in the orbit they lose their high-priority status.The Late Arrival Setup is chosen with Delayed Access.The high-priority retrial customers can be interpreted as inbound calls,and the low-priority customers as outbound calls in a call-center.The joint steady-state distribution of the queue length of the low-priority customers and the orbit size of secondary retrial customers is studied using probability generating functions.Several performance measures will be calculated,such as the mean queue length of the lowpriority customers and the orbit size of the secondary retrial customers.
Inbound and outbound calls Discrete-time retrial queue Priority customers Generating functions
Rein Nobel Maik Dekker
Department of Econometrics and Operations Research,Vrije Universiteit Amsterdam,Amsterdam,Netherlands
国际会议
河北秦皇岛
英文
199-216
2017-08-21（万方平台首次上网日期，不代表论文的发表时间）