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We first introduce a definition of multiple stopping theory in the sum case.
Therefore, the multiple relay selection problem can be further formulated as a sequential decision problem which can be solved by the optimal multiple stopping theory.
As a comparison, our work is the first one to apply optimal multiple stopping theory for multiple relay selection in cognitive radio networks, to our best knowledge.
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Optimal stopping theory is used for the regular modes.
Specifically, we design an auction scheme through adopting stopping theory.
Zhao et al. proposed to use optimal stopping theory for early termination decisions [17].
Optimal sensing and access design for CRNs were designed by using optimal stopping theory in [14].
Fortunately there's a formula to find this out, and it's called Optimal Stopping Theory.
In this paper, we formulate the cooperative transmission problem as multiple stopping problem in CRNs.
Therefore, we propose the optimal multiple stopping rule in Algorithm 1.
Then, the cooperative users are selected by employing our proposed optimal multiple stopping method.
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