-

 

 

 




Optimization Online





 

Dynamic Spectrum Management: A Complete Complexity Characterization

Ya-Feng Liu(yafliu***at***lsec.cc.ac.cn)

Abstract: Consider a multi-user multi-carrier communication system where multiple users share multiple discrete subcarriers. To achieve high spectrum efficiency, the users in the system must choose their transmit power dynamically in response to fast channel fluctuations. Assuming perfect channel state information, two formulations for the spectrum management (power control) problem are considered in this paper: the first is to minimize the total transmission power subject to all users' transmission data rate constraints, and the second is to maximize the min-rate utility subject to individual power constraints at each user. It is known in the literature that both formulations of the problem are polynomial time solvable when the number of subcarriers is one and strongly NP-hard when the number of subcarriers are greater than or equal to three. However, the complexity characterization of the problem when the number of subcarriers is two has been missing for a long time. This paper answers this long-standing open question: both formulations of the problem are strongly NP-hard when the number of subcarriers is two.

Keywords: Complexity theory, multi-carrier communication system, spectrum management, strong NP-hardness

Category 1: Global Optimization (Theory )

Category 2: Applications -- OR and Management Sciences (Telecommunications )

Category 3: Applications -- OR and Management Sciences

Citation: Ya-Feng Liu, Dynamic Spectrum Management: A Complete Complexity Characterization,accepted for publication in IEEE Transactions on Information Theory, October 27, 2016.

Download: [PDF]

Entry Submitted: 10/28/2016
Entry Accepted: 10/29/2016
Entry Last Modified: 10/28/2016

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society