Exact results for the Barabasi queuing model

Abstract

Previous works on the queuing model introduced by Barabási to account for the heavy tailed distributions of the temporal patterns found in many human activities mainly concentrate on the extremal dynamics case and on lists of only two items. Here we obtain exact results for the general case with arbitrary values of the list length $L$ and of the degree of randomness that interpolates between the deterministic and purely random limits. The statistically fundamental quantities are extracted from the solution of master equations. From this analysis, new scaling features of the model are uncovered.

References in corpus (1)

• The role of optimization in the human dynamics of tasks execution

Cited by in corpus (7)

• Bursty Human Dynamics
• Analysis of return distributions in the coherent noise model
• Time-Varying Priority Queuing Models for Human Dynamics
• Generalized priority-queue network dynamics: Impact of team and hierarchy
• Dynamic Patterns of Academic Forum Activities
• A simple rank-based Markov chain with self-organized criticality
• Numerical study on the deadline-concerning priority queuing model