DEMON, MARK II: EXTREMAL EQUATIONS SOLUTION AND APPROXIMATIONS.
Abstract
This paper develops a new method for the solution of DEMON-type functional equations. It is shown how the latter can be reduced to solution of a separated system of simpler equations which, for discrete distributions, can be solved by linear programming methods. The reduction also permits general characteristics of the solutions to be inferred. Additionally, methods of approximation and bounding are developed and interpreted for the general case. Because of the importance accorded to log-normal distributions for the newproduct marketing problem, further details and developments are undertaken with reference to this class of distributions and then illustrated by reference to the single-parameter case. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1965
- Accession Number
- AD0617903
Entities
People
- A. Charnes
- D. B. Learner
- J. K. Devoe
- W. W. Cooper
Organizations
- Carnegie Institute of Technology