The role of approximate morphisms in multiresolution modeling: Can we relax the strict lumpability requirements?. (October 2018)

• Record Type: Journal Article
• Authors: Zeigler, Bernard P
• Is Part Of: Journal of defense modeling and simulation. Volume 15:Number 4(2018:Oct.)
• Page Start: 495
• Page End: 498
• Publication Date: 2018-10
• Subjects: Multiresolution modeling -- abstraction -- resolution -- fidelity -- exact morphisms -- approximate morphisms -- performance–accuracy tradeoff; Military art and science -- Computer simulation -- Periodicals; 355.0011305
• DOI: 10.1177/1548512916659826
• Languages: English
• ISSNs: 1548-5129

Abstract

To become the core development methodology of major defense-related simulation projects, multiresolution modeling needs more advances in basic theory and practice. In this note, we illustrate an approach to addressing issues relating to approximate morphisms (structure/behavior preservation relations) between pairs of models. Such issues include metrics for departure from strict lumpability, tying approximate satisfaction of structural conditions to the resulting behavioral error, and how to enhance the probability of creating good approximate morphisms by humans and artificial modelers.