Abstract
This paper proves that the optimum solution structure for an n-period repairable inventory problem is completely defined by three period dependent values: θn, the repair-up-to-level; δn, the purchase-up-to-level; and θn + ξn, the scrap-down-to-level. The specific problem examined includes fixed periodic reviews, instantaneous delivery of purchased and repaired units, backlogging of unsatisfied demand, random demand for serviceables, random return of repairables with any relationship being permitted between demand and returns and a convex differentiable cost function. The basic solution methodology is a backward dynamic programming technique in two dimensions with the Kuhn-Tucker saddle point theorems applied in each stage.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
