A Stochastic Sequential Allocation Model.

Abstract

The following model is considered, and is described in terms of an investment problem. There are D units available for investment. During each of N time periods, an opportunity to invest will occur with probability p. As soon as an opportunity presents itself, a decision must be made on how much of the available resources to invest. If y is invested, then an expected profit P(y), is obtained where P is a nondecreasing continuous function. The amount y then becomes unavailable for future investment. The problem is to decide how much to invest at each opportunity so as to maximize total expected profit.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA001103

Entities

People

  • C. Derman
  • G. J. Lieberman
  • S. M. Ross

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Business Administration
  • Investments
  • Probability

Fields of Study

  • Mathematics

Readers

  • Defense Acquisition Program Management
  • Operations Research
  • Positioning, Navigation, and Timing (PNT) Technology.