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In this paper, we dynamically determine the spectrum share of cellular and overlay device to device communication (D2D) links to improve queuing delay performance. Along changing the portion of resource blocks (RBs) dedicated to each cellular and D2D network, we assign the required power and RBs to each link. We consider a cross-layer optimization problem taking channel state information (CSI) and queue state information (QSI) into account. Two spectrum access mechanisms of overlay D2D mode, known as orthogonal multiple access (OMA) and non-orthogonal multiple access (NOMA) are investigated. First, the dynamic spectrum sharing and power assignment problem is formulated as a general stochastic problem, then it is transformed into a deterministic one using Lyapunov optimization. As the cellular and D2D links should be scheduled prior to each frame transmission, low-complexity approaches …