Dynamic Programming, Queueing Optimization, and Their Applications.

Abstract

The areas of research include the theoretical development of semi-Markov decision processes (SMDP). In particular, an optimal stationary policy, determined by the usual functional equation, was found in both the discounted and average cost case, when the system described by the SMDP is a queueing reward system with infinite queue capacity. A dynamic queueing optimization problem has been solved in which the decision-maker controls the arrival process by increasing or decreasing the price charged for a facility's service. A new technique in the optimization of exponential queueing systems was developed. An Air Force transportation inventory model concerning the logistics of spare items was developed using a dynamic programming decision rule. Research was also completed in the areas of optimal consumption with a stochastic income stream and optimal reinsurance. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1973
Accession Number
AD0767650

Entities

People

  • Steven A. Lippman

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Computer Programming
  • Dynamic Programming
  • Equations
  • Inventory
  • Logistics
  • Mathematical Programming
  • Mathematics
  • Optimization
  • Stationary
  • Transportation

Readers

  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.