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Design Analysis of Mathematical Model for Collision Affected Environment in Wireless Sensor Network

In this paper, a mathematical model for collision affected Medium Access Control (MAC) environment has been presented to improve the network lifetime (NL). In this model, a network has been divided into layers and each layer is assigned different probabilities to form clusters of unequal sizes which provide an effective method in order to investigate the hot spot problem (HSP) in multi-hop sensor networks. Also clusters closest to sink node have no intra data traffic and with small amount of energy, they devote to heavy data relaying. In addition, distribution of sensor nodes is done according to energy balancing technique. The proposed mathematical model not only provides insight into the MAC layer collision impacts on the energy balancing (EB) routing algorithm but also indicates the sufficient number of CHs to be presented in the first layer for the minimum energy consumption so that heavy data traffic can be relayed and also determine the optimum number of network layers resulting in minimum energy consumption.