Optimal Issuing Policies under Stochastic Field Lives,

Abstract

Consider a stockpile of n items where the ith item has a rating (r sup i), i = 1,...,n. An item with rating (r sup i) if released to the field at time 0 will have a random field life distributed as x sub (r sub i); X sub (r sub i), i = 1,...,n is a collection of random variables which are increasing in r in the sense of monotone likelihood ratio. An item with rating (r sup i) if kept in stockpile until time t and then released to the field will have a field life distributed as X sub (r sub i)d(t) where d(t) is a non-random function. Items are to be issued from the stockpile to the field until the stockpile is depleted. The ith issued item is placed in the field immediately upon the death in the field of the (i-1)st issued item. The problem studied is to find the order of item issue which maximizes in some sense the total field life obtained from the stockpile. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 18, 1972
Accession Number
AD0750427

Entities

People

  • Herbert Solomon
  • Mark O. Brown

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Functions (Mathematics)
  • Inventory
  • Mathematics
  • Random Variables
  • Stockpiles

Fields of Study

  • Mathematics

Readers

  • Logistics and Supply Chain Management.
  • Nuclear Non-Proliferation and International Security
  • Statistical inference.