Stochastic Modeling and Solution Techniques in a Time-Varying Environment.

Abstract

The randomization technique, which solves the Kolmogorov differential equations by viewing the continuous time Markov process as a uniformized embedded discrete parameter Markov chaian randomized by a Poisson process, was fully developed and published. The numerical randomization technique was compared to a variety of simulation methods, including a brute force approach and others taking advantage to varying degrees of the uniformized embedded chain structure. Some initial progress has been made in studying optimization problems in a time varying environment. Unlike the steady state situations examined, the constraint functions are not monotone in all decision variables for all cases, which makes for less efficient use of implicit enumeration schemes. Nevertheless, implicit enumeration still appears to hold the most promise for our types of problems.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1984
Accession Number
ADA175996

Entities

People

  • Donald Gross

Organizations

  • George Washington University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Availability
  • Computations
  • Differential Equations
  • Engineering
  • Environment
  • Equations
  • Inventory
  • Markov Chains
  • Markov Processes
  • Military Research
  • Operations Research
  • Optimization
  • Partial Differential Equations
  • Probability
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.