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Network on Chip (NoC) is a prevailing communication platform for multi-core embedded systems. Wireless network on chip (WNoC) employs wired and wireless technologies simultaneously to improve the performance and power-efficiency of traditional NoCs. In this paper, we propose a deterministic and scalable arbitration mechanism for the medium access control in the wireless plane and present its analytical worst-case delay model in a certain use-case scenario that considers both Real-time (RT) and Non Real-time (NRT) flows with different packet sizes. Furthermore, we design an optimization model to jointly consider the worst-case and the average-case performance parameters of the system. The Optimization technique determines how NRT flows are allowed to use the wireless plane in a way that all RT flows meet their deadlines, and the average case delay of the WNoC is minimized. Results show that our proposed approach decreases the average latency of network flows up to 17.9%, and 11.5% in 5 × 5, and 6 × 6 mesh sizes, respectively.

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