Article: Analysis of wireless sensor networks based on non-exhaustive M/G/1 queueing model Journal: International Journal of Wireless and Mobile Computing (IJWMC) 2021 Vol.21 No.3 pp.214 - 229 Abstract: In order to reduce the energy consumption of wireless sensor networks (WSNs) and control the workload of necessary topology maintenance, the sleep mode in the energy saving strategy is considered. Combining with practice, factors such as environmental interferences, physical damages, signal differences of packets and possible errors in the transmission of data packets are considered. A non-exhaustive M/G/1 repairable queueing model with negative customers, pre-emption, feedback and J optional random vacations is established. Sufficient and necessary condition for the existence of steady state of the system is derived by constructing Markov process with absorption state. Using the supplementary variable method, the expressions of the average number of the data packets and other performance indicators are obtained. Then, using MATLAB software for numerical analysis, the influence of system parameters on the average delay and other performance indicators is analysed. Finally, the social optimal parameters are found by constructing benefit functions. The WSNs model proposed in this paper is also compared with the normal model, and it found that the model with Type J optional sleep has a good energy saving effect. Inderscience Publishers - linking academia, business and industry through research

Title: Analysis of wireless sensor networks based on non-exhaustive M/G/1 queueing model

Authors: Zhanyou Ma; Xiangran Yu; Shanshan Guo; Jiaqi Fan

Addresses: School of Science, Yanshan University, Qinhuangdao, Hebei, China ' School of Science, Yanshan University, Qinhuangdao, Hebei, China ' School of Science, Yanshan University, Qinhuangdao, Hebei, China ' School of Science, Yanshan University, Qinhuangdao, Hebei, China

Abstract: In order to reduce the energy consumption of wireless sensor networks (WSNs) and control the workload of necessary topology maintenance, the sleep mode in the energy saving strategy is considered. Combining with practice, factors such as environmental interferences, physical damages, signal differences of packets and possible errors in the transmission of data packets are considered. A non-exhaustive M/G/1 repairable queueing model with negative customers, pre-emption, feedback and J optional random vacations is established. Sufficient and necessary condition for the existence of steady state of the system is derived by constructing Markov process with absorption state. Using the supplementary variable method, the expressions of the average number of the data packets and other performance indicators are obtained. Then, using MATLAB software for numerical analysis, the influence of system parameters on the average delay and other performance indicators is analysed. Finally, the social optimal parameters are found by constructing benefit functions. The WSNs model proposed in this paper is also compared with the normal model, and it found that the model with Type J optional sleep has a good energy saving effect.

Keywords: WSNs; wireless sensor networks; fault repair; sleep mode; queueing model; supplementary variable method.

DOI: 10.1504/IJWMC.2021.120899

International Journal of Wireless and Mobile Computing, 2021 Vol.21 No.3, pp.214 - 229

Accepted: 17 Jul 2021
Published online: 16 Feb 2022 *

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Title: Analysis of wireless sensor networks based on non-exhaustive M/G/1 queueing model

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