English

Production, Supply, and Traffic Systems: A Unified Description

Disordered Systems and Neural Networks 2009-09-29 v1 Statistical Mechanics

Abstract

The transport of products between different suppliers or production units can be described similarly to driven many-particle and traffic systems. We introduce equations for the flow of goods in supply networks and the adaptation of production speeds. Moreover, we present two examples: The case of linear (sequential) supply chains and the case of re-entrant production. In particular, we discuss the stability conditions, dynamic solutions, and resonance phenomena causing the frequently observed "bullwhip effect", which is an analogue of stop-and-go traffic. Finally, we show how to treat discrete units and cycle times, which can be applied to the description of vehicle queues and travel times in freeway networks.

Keywords

Cite

@article{arxiv.cond-mat/0401469,
  title  = {Production, Supply, and Traffic Systems: A Unified Description},
  author = {Dirk Helbing},
  journal= {arXiv preprint arXiv:cond-mat/0401469},
  year   = {2009}
}

Comments

For related work see http://www.helbing.org

R2 v1 2026-07-22T10:59:05.317Z