Numerical study on the deadline-concerning priority queuing model

The Barabási’s priority queuing model (Barabási, Nature 435:207, 2005) and its variants have been extensively studied to understand heavy-tailed distributions of the inter-event times response observed in various empirical analyses human dynamics. In this paper, we focus on effects deadlines assigned tasks a queue fixed size response-time distributions. Here, time is defined as interval between arrival execution task. We propose deadline-concerning model, which deadline approaches, adjusted using inverse remaining deadline. By performing numerical simulations, find that power-law exponent characterizing less than 1 under deterministic selection protocol while it has value nondeterministic protocol.