A strong limit theorem on gambling system for Bernoulli sequences is extended to the sequences of arbitrary discrete random variables by using the conditional probabilities. Furthermore, by allowing the selection function to take values in an interval, the conception of random selection is...

An M/G/1 retrial queueing system with disasters and unreliable server is investigated in this paper. Primary customers arrive in the system according to a Poisson process, and they receive service immediately if the server is available upon their arrivals. Otherwise, they will enter a retrial...

The equilibrium joining probabilities for a single primary-user (PU) and secondary-users (SUs) in the case of no-information, and the equilibrium Nash balance thresholds for PU and SUs to join the system in the cases of partial-information and full-information observed by PU and SUs are...

Problem definition: Price promotion is an efficient way to gain the market share due to the fact that all consumers are price sensitive. Even so, consumers are also sensitive to the service satisfaction, e.g., logistic service. Fierce price promotion can boost demand, but also makes the system...