G. Saha, A. A. Abouzeid and M. Matinmikko-Blue, "Optimal Duration of Spectrum Lease: A Mathematical Approach," 2018 IEEE International Symposium on Dynamic Spectrum Access Networks (DySPAN), Seoul, 2018, pp. 1-10. doi: 10.1109/DySPAN.2018.8610490

### Optimal duration of spectrum lease : a mathematical approach

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Author: Saha, Gourav1; Abouzeid, Alhussein A.1,2; Matinmikko-Blue, Marja2
Organizations: 1Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
2Centre for Wireless Communications, University of Oulu, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.3 MB)
Language: English
Published: Institute of Electrical and Electronics Engineers, 2018
Publish Date: 2019-02-21
Description:

# Abstract

It is widely accepted that the lease duration of spectrum bands sold through auctions plays a crucial role in affecting spectrum utilization. Shorter lease duration increases the frequency of spectrum auctions. Within the scenario studied in this paper, frequent spectrum auctions increases the chances of the spectrum bands being allocated to those operators who can utilize it the best. However, if the lease duration is too short it will not incentivize enough operators to join the market and hence lead to lower competition which in turn deteriorates spectrum utilization. In spite of the importance of lease duration in affecting spectrum utilization, there is no formal study dealing with optimizing the duration of a spectrum lease. This paper presents the first mathematical model to study the effect of lease duration on spectrum utilization under certain market scenario. In such a market scenario, revenue of an operator is the measure of its spectrum utilization. Based on our model, we formulate an optimization problem and develop algorithms to solve the optimization problem for two special cases. Using these algorithms, we numerically study how the optimal characteristics vary with different market parameters.

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Series: IEEE International Symposium on Dynamic Spectrum Access Networks
ISSN: 2334-3125
ISSN-L: 2334-3125
ISBN: 978-1-5386-5191-9
ISBN Print: 978-1-5386-5192-6
Pages: 1 - 10
DOI: 10.1109/DySPAN.2018.8610490