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A Novel Heavy Traffic Approach to Stochastic Optimal Control of Mobile Communications

Award Information
Agency: Department of Defense
Branch: Army
Contract: W911NF-04-C-0012
Agency Tracking Number: A032-2145
Amount: $120,000.00
Phase: Phase I
Program: SBIR
Solicitation Topic Code: A03-050
Solicitation Number: 2003.2
Timeline
Solicitation Year: 2003
Award Year: 2004
Award Start Date (Proposal Award Date): 2003-12-01
Award End Date (Contract End Date): 2004-05-31
Small Business Information
7519 Standish Place, Suite 200
Rockville, MD 20855
United States
DUNS: 161911532
HUBZone Owned: No
Woman Owned: Yes
Socially and Economically Disadvantaged: No
Principal Investigator
 Chiman Kwan
 Director of R&D
 (301) 294-5238
 ckwan@i-a-i.com
Business Contact
 Marc Toplin
Title: Director of Contracts
Phone: (301) 294-5215
Email: mtoplin@i-a-i.com
Research Institution
N/A
Abstract

Balancing high throughput with head-of-the-line wait time for queued data requires explicit stochastic process modeling of the time variations of the channel and the complex queuing process. However, such process models are too complicated for a direct solution. In this proposal, Intelligent Automation, Inc. (IAI) and its subcontractor, Prof. Robert Buche of the North Carolina State University, propose a novel heavy traffic approach to optimal stochastic control of mobile communications. Under the heavy traffic assumption and scaling, one can arrive at a limit system described by a stochastic differential equation (with reflection and/or jumps), which approximates the actual system. Based on the limit system, we can obtain the control by using the powerful novel numerical methods originally proposed by Kushner and Dupuis. Some other advantages of the proposed stochastic control design approach include: First, the controls obtained from the heavy traffic analysis are effective in the practical system, even operating far from the heavy traffic regime. Second, the heavy traffic modeling is general enough to handle a variety of configurations including TDMA, channel estimation, etc. Third, the proposed admission control design is independent of power control. Fourth, the proposed numerical methods sound and it has been theoretically justified by the convergence proofs.

* Information listed above is at the time of submission. *

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