Accelerated rare event simulation with Markov chain modelling in wireless communication networks

The paper recommends an effective approach to estimate probability of buffer overflow in wireless communication networks. The buffer overflow probability in queuing systems is defined as a rare event and can be estimated using rare event simulation with Markov chains. Two-node queuing networks are considered in this paper; and an event of buffer overflow at the second node is studied. Two efficient rare event simulation algorithms, based on the importance sampling and cross-entropy methods, are developed and applied to accelerate the overflow probability simulation with Markov chain modelling. Numerical examples and simulation results are provided.