Dynamical systems and operations research: A basic model

Pages: 209 - 218, Volume 1, Issue 2, May 2001

doi:10.3934/dcdsb.2001.1.209       Abstract        Full Text (177.4K)       Related Articles

Leonid A. Bunimovich - School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States (email)

Abstract: Operations Research and Logistics are the areas, where traditionally only stochastic models were applied. However, recently this situation started to change, and dynamical systems are becoming to be recognized as the relevant models in manufacturing, managing supply chains, conditioned based maintenance, etc. We discuss the simplest basic model for these processes and prove some results on its global dynamics. The general approach to a management of such processes (Stabilization of a Target Regime or STR method) is outlined and illustrated.

Keywords:  Dynamical systems, operations research.
Mathematics Subject Classification:  34C35, 58F03, 58F05.

Received: November 2000;      Revised: February 2001;      Published: February 2001.