Upper Bound Of Optimal Value Research Articles

New method for computing the upper bound of optimal value in interval quadratic program

We consider the interval quadratic programming problems. The aim of this paper is to present a new method to compute the upper bound of the optimal values, under weaker conditions. Moreover, we discuss the relations between the new method and previous results. The features of the proposed methods are illustrated by some examples.

Channel assignment schemes for cooperative spectrum sensing in multi‐channel cognitive radio networks

AbstractIn this paper, channel assignment for spectrum sensing is studied in multi‐channel cognitive radio (CR) networks to maximize the number of channels satisfying sensing performance (called available channels). Beginning with a nonlinear integer programming problem, we derive the upper bound of optimal value through many‐to‐many assignment problem and then propose three algorithms for both centralized and distributed scenarios. In centralized case, a heuristic scheme is proposed based on the signal‐to‐noise ratios (SNRs) over all primary channels (PCs). Then, a greedy scheme is proposed to reduce the reported information from the CRs. In distributed case, a novel scheme with multi‐round operation is designed following the coalitional game theory. In each round, each CR selects some PCs based on SNRs. Then, the CRs selecting the same channel play coalitional game, and thereby, multiple games are played concurrently over multiple channels. Finally, the best coalition for each channel is chosen among the formed coalitions to perform the cooperative spectrum sensing. The simulation results show that the proposed schemes can significantly increase the number of available channels. Copyright © 2013 John Wiley & Sons, Ltd.