ISyE Departmental Seminar - POSTPONED

Event Details
  • Date/Time:
    • Tuesday March 4, 2014
      3:00 pm - 4:00 pm
  • Location: Advisory Board Room 402, Groseclose
  • Phone:
  • URL:
  • Email:
  • Fee(s):
    N/A
  • Extras:
Contact

David Goldberg

dgoldberg9@isye.gatech.edu

Summaries

Summary Sentence: ISyE Departmental Seminar

Full Summary: No summary paragraph submitted.

TITLE: Information Relaxations, Duality, and Convex Stochastic Dynamic Programs

SPEAKER: David Brown

ABSTRACT:

We consider the information relaxation approach for calculating performance bounds for stochastic dynamic programs (DPs). This approach generates performance bounds by solving problems with relaxed nonanticipativity constraints and a penalty that punishes violations of these nonanticipativity constraints. In this paper, we study DPs that have a convex structure and consider gradient penalties that are based on first-order linear approximations of approximate value functions. When used with perfect information relaxations, these penalties lead to subproblems that are deterministic convex optimization problems. We show that these gradient penalties can, in theory, provide tight bounds for convex DPs and can be used to improve on bounds provided by other relaxations, such as Lagrangian relaxation bounds. Finally, we apply these results in two example applications: first, a network revenue management problem that describes an airline trying to manage seat capacity on its flights; and second, an inventory management problem with lead times and lost sales. These are challenging problems of significant practical interest. In both examples, we compute performance bounds using information relaxations with gradient penalties and find that some relatively easy-to-compute heuristic policies are nearly optimal. (Joint work with Jim Smith at Duke.)

Additional Information

In Campus Calendar
No
Groups

H. Milton Stewart School of Industrial and Systems Engineering (ISYE)

Invited Audience
Undergraduate students, Faculty/Staff, Graduate students
Categories
Seminar/Lecture/Colloquium
Keywords
No keywords were submitted.
Status
  • Created By: Anita Race
  • Workflow Status: Published
  • Created On: Feb 27, 2014 - 10:24am
  • Last Updated: Apr 13, 2017 - 5:23pm