6533b828fe1ef96bd12877ac

RESEARCH PRODUCT

Stability Analysis of Large Scale Networks of Autonomous Work Systems with Delays

Hamid Reza KarimiNeil A. DuffieSergey Dashkovskiy

subject

Mathematical optimizationStability conditionsClass (computer programming)Computer scienceScale (chemistry)Matrix normStability (learning theory)Production (economics)Work in processWork systems

description

This paper considers the problem of stability analysis for a class of production networks of autonomous work systems with delays in the capacity changes. The system under consideration does not share information between work systems and the work systems adjust capacity with the objective of maintaining a desired amount of local work in progress (WIP). Attention is focused to derive explicit sufficient delay-dependent stability conditions for the network using properties of matrix norm. Finally, numerical results are provided to demonstrate the proposed approach.

https://doi.org/10.1007/978-3-642-11996-5_7