Queueing analysis of WDM-based access networks with reconfiguration delay

Abstract

This paper studies an M/M/1 queue with working vacations and possible additional non-zero switching times in order to model a cyclic service system in WDM-based access networks with reconfiguration delay. Different from the assumption that the server can switch from working vacation service rate to normal service rate perfectly, in this paper it is assumed that if there are customers in the system when the vacation ends, the server switches the service rate (μv) to the normal service rate (μB) successfully with probability p. With probability 1--p, the server needs an additional time to complete the switching process. Simple explicit formulae for the mean and distribution of the number and time in the system are presented. By this assumption, the queueing systems with working vacations can be more flexible for modeling more practical situations with non-zero reconfiguration delay time which is an essential factor in some dynamic reconfiguration algorithms. Numerical results are given to illustrate the influence of possible reconfiguration delays on the mean values of queue length and system time in the queueing system.