## Performance Analysis of Slotted ALOHA Systems with Energy Harvesting Nodes and Retry Limit Using DTMC Model

### Katsumi Sakakibara, Yoji Nakata, Kento Takabayashi

DOI: http://dx.doi.org/10.15439/2018F25

Citation: Proceedings of the 2018 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 15, pages 659–663 (2018)

Abstract. We analyze performance of slotted ALOHA systems with energy harvesting nodes and retry limit. We assume that the capacities of data and energy buffer at a node are one packet and $E$ packets, respectively, and that one data packet transmission consumes one energy packet. The data and the energy packet arrival processes are modeled by independent and identically distributed Bernoulli processes. Under these assumptions, we develop a node-centric two-dimensional discrete time Markov chain model. According to the concept of the equilibrium point analysis, the fixed point equation with respect to the ratio of nodes transmitting a data packet is derived. The accuracy of numerical results derived from the fixed point equation is verified by computer simulation. The numerical results indicate that throughput, the offered traffic and the discard probability roughly depend on the minimum of the data packet generation probability and the energy packet generation probability.

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