Time-Varying Priority Queuing Models for Human Dynamics
arXiv:1109.5990 · doi:10.1103/PhysRevE.85.066101
Abstract
Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of interest, the priority of which may vary with time due to the agent's "state of mind." However, its execution is disrupted by other tasks of random priorities. By considering the priority of the task of interest either decreasing or increasing algebraically in time, we analytically obtain and numerically confirm the bimodal and unimodal waiting time distributions with power-law decaying tails, respectively. These results are also compared to the updating time distribution of papers in the arXiv.org and the processing time distribution of papers in Physical Review journals. Our analysis helps to understand human task execution in a more realistic scenario.
8 pages, 6 figures
References in corpus (5)
Cited by in corpus (11)
- Bursty Human Dynamics
- Correlated bursts and the role of memory range
- Contextual analysis framework for bursty dynamics
- Hidden scaling patterns and universality in written communication
- Generative models of simultaneously heavy-tailed distributions of inter-event times on nodes and edges
- How important tasks are performed: peer review
- Temporal Pattern of Online Communication Spike Trains in Spreading a Scientific Rumor: How Often, Who Interacts with Whom?
- Burst-tree structure and higher-order temporal correlations
- Metapopulation models imply non-Poissonian statistics of interevent times
- Priority Attachment: a Comprehensive Mechanism for Generating Networks
- Numerical study on the deadline-concerning priority queuing model