Optimal Arrangement of Systems.
Abstract
To location L sub i we are to allocate a 'generator' and n sub i machines for i = 1,...,k where n sub 1 greater than or =...greater than or = n sub K. Although the generators and machines function independently of one another, a machine is operable only if it and the generator at its location are functioning. The problem we consider is that of finding the arrangement or allocation optimizing the number of operable machines. We show that if the objective is to maximize the expected number of operable machines at some future time, then it is best to allocate the best generator and the n sub 1 best machines to location L sub 1, the 2nd best generator and the n sub 2 next best machines to location L sub 2, etc. However this arrangement is not always stochastically optimal. For the case of 2 generators we give a necessary and sufficient condition that this arrangement is stochastically best, and illustrate the result with several examples. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1982
- Accession Number
- ADA121295
Entities
People
- Frank Proschan
- Philip J. Boland
Organizations
- Florida State University