Hysteresis Effect in Repair and Replacement Problems with Downtime.
Abstract
The paper investigates a new class of repair (replacement) problems called the hysteresis age problem. This problem is concerned with the amount of recovery of service age following a repair, extreme cases of which are minimal repair and age replacement (major repair). A mathematical formulation for the discounted hysteresis age problem is presented using the functional equation technique. Optimal age replacement policies which minimize the total expected discounted cost are examined for a linear hysteresis function, for both zero and non-zero downtime. A necessary condition for the classical age replacement problem is determined, extending prior results of Barlow and Hunter, Fox, and Scheaffer. A comprehensive literature survey of the three categories of repair is also presented. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1972
- Accession Number
- AD0750119
Entities
People
- Boghos D. Sivazlian
- Jonathan F. Brown
Organizations
- University of Florida