27 Pages Posted: 29 Aug 2003
Date Written: May 2004
We propose a stylized model of a problem-solving organization whose internal communication structure is given by a fixed network. Problems arrive randomly anywhere in this network and must find their way to their respective "specialized solvers" by relying on local information alone. The organization handles multiple problems simultaneously. For this reason, the process may be subject to congestion. We provide a characterization of the threshold of collapse of the network and of the stock of floating problems (or average delay) that prevails below that threshold. We build upon this characterization to address a design problem: the determination of what kind of network architecture optimizes performance for any given problem arrival rate. We conclude that, for low arrival rates, the optimal network is very polarized (i.e. star-like or "centralized"), whereas it is largely homogenous (or "decentralized") for high arrival rates. We also show that, if an auxiliary assumption holds, the transition between these two opposite structures is sharp and they are the only ones to ever qualify as optimal.
Keywords: Networks, information transmission, search, organization design
JEL Classification: D20, D24, D83, L22, L23
Suggested Citation: Suggested Citation
Arenas, Alex and Cabrales, Antonio and Diaz-Guilera, Albert and Guimera, Roger and Vega-Redondo, Fernando, Optimal Information Transmission in Organizations: Search and Congestion (May 2004). FEEM Working Paper No. 77.04; UPF Economics and Business Working Paper No. 698. Available at SSRN: https://ssrn.com/abstract=433861 or http://dx.doi.org/10.2139/ssrn.433861