The resource-constrained nature of WSNs require efficient use of resources, especially energy, to prolong their lifetime. Clustering is one of the popular approaches to allocate the resources efficiently among the WSN nodes. In this work, we analyze the problem of round length determination in cluster based WSN which has severe impact on the energy efficiency. This problem is very important since round length determines how often the cluster head (CH) rotates or re-clustering process occurs. A longer round length will cause the CH nodes to operate for a long time and drain their energies faster than other nodes resulting in uneven energy consumption in the network, while a shorter round length results in considerable wastage of energy due to frequent running of the setup phase. Hence, we propose an adaptive and dynamic mechanism for round length determination in cluster based WSNs by adapting Behavior Curve Function modeled by quadratic Bezier curves, where we associate the remaining energy level of the cluster to its round operation length and to its assigned criticality which is defined based on network energy level. This helps to determine the number of frames in a round or how many times the data collection occurs in a cluster in a round and the criticality of the energy in the WSN. Simulation results reveal that the proposed mechanism has effectively reduced the energy consumption and improved the WSN lifetime in both homogeneous and heterogeneous network settings.

WSN的资源受限性质要求有效利用资源，尤其是能源，以延长其使用寿命。集群是在WSN节点之间有效分配资源的流行方法之一。在这项工作中，我们分析了基于簇的无线传感器网络中的圆形长度确定问题，该问题严重影响了能源效率。这个问题非常重要，因为圆形长度决定了簇头（CH）旋转的频率或重新群集过程的发生频率。较长的回合长度将导致CH节点比其他节点运行更长的时间并消耗能量，从而导致网络中的能量消耗不均，而较短的回合长度则由于频繁运行安装程序而导致能源浪费相。因此，我们通过适应由二次贝塞尔曲线建模的行为曲线函数，提出了一种基于集群的WSN轮长确定的自适应和动态机制，其中，将集群的剩余能量水平与其轮次操作长度和其分配的临界值关联，在网络能量级别上。这有助于确定回合中的帧数或回合中的群集中数据收集发生的次数以及WSN中能量的临界度。仿真结果表明，该机制在同构网络和异构网络环境中均有效地降低了能耗，并延长了无线传感器网络的使用寿命。在这里，我们将群集的剩余能量级别与其轮次操作长度和基于网络能量级别定义的已分配临界值相关联。这有助于确定一轮中的帧数或一轮中集群中数据收集发生的次数以及WSN中能量的临界度。仿真结果表明，该机制在同构网络和异构网络环境中均有效地降低了能耗，并延长了无线传感器网络的使用寿命。在这里，我们将群集的剩余能量级别与其轮次操作长度和基于网络能量级别定义的已分配临界值相关联。这有助于确定回合中的帧数或回合中的群集中数据收集发生的次数以及WSN中能量的临界度。仿真结果表明，该机制在同构网络和异构网络环境中均有效地降低了能耗，并延长了无线传感器网络的使用寿命。