ASYMPTOTIC PERFORMANCE OF A SYSTEM SUBJECT TO CANNIBALIZATION.
Abstract
The document considers the performance of a system composed of n machines, each machine being composed of parts (or modules) of r different types arranged in series. If S sub i denotes the number of parts of type i functioning at a given moment, it is assumed that the performance level phi of the overall system at that moment is given by an equation showing the limits of S sub i at a minimum point. A collection of identical structures (ships, aircraft, missile batteries, etc) exemplifies the kind of system involved, under the assumption that each part in a given structure is essential to the performance of that structure. Limit theorems are proved which make it possible to evaluate explicitly the asymptotic performance level of the system under three different assumptions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0707388
Entities
People
- Herman Hanisch
- Warren M. Hirsch
Organizations
- New York University