Research Reports from the Department of Operations
Document Type
Report
Publication Date
12-1-1960
Abstract
The principal result of this report is a demonstration that systems of ordinary differential equations of engineering that are too large for the available computers can be solved by a principle of "decomposition." It is shown that the systems of resulting subproblems are members of a larger class of problems. The properties of this class are investigated and conditions stated under which the solutions of the subproblems converge to those of the original problem. A measure of the interaction between the subproblems is suggested for a subsequent investigation.
Keywords
Operations research, Differential equations, Engineering mathematics, Decomposition method--Mathematical models, Computational complexity, Problem solving, Mathematical optimization, Systems engineering, Numerical analysis, Computer simulation
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 14
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Chase, Hamilton A. and Sengupta, S. Sankar, "The Decomposition Principle in Engineering Problems: Towards a Multi-Level Concept of Problem-Solving" (1960). Research Reports from the Department of Operations. 128.
https://commons.case.edu/wsom-ops-reports/128