Constructing d-Robust Connected Dominating Sets in Wireless Sensor Networks With Unstable Transmission Ranges
A connected dominating set (CDS) can act as a virtual backbone (VB) in a wireless sensor network (WSN). The overhead in a WSN is usually determined by the size of the corresponding VB. However, the construction of minimum CDSs (MCDSs) has been proven to be an NP-hard problem. Thus, most researchers...
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| Vydané v: | IEEE transactions on communications Ročník 69; číslo 1; s. 398 - 415 |
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| Médium: | Journal Article |
| Jazyk: | English |
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IEEE
01.01.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0090-6778, 1558-0857 |
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| Abstract | A connected dominating set (CDS) can act as a virtual backbone (VB) in a wireless sensor network (WSN). The overhead in a WSN is usually determined by the size of the corresponding VB. However, the construction of minimum CDSs (MCDSs) has been proven to be an NP-hard problem. Thus, most researchers use approximation algorithms to find smaller CDSs. In certain applications, the transmission radii of some nodes in the network are unstable due to certain environmental factors such as obstacles, signal interference and node movement. Thus, the robustness of VBs in WSNs should be considered. In this paper, we propose the concept of a <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS and corresponding algorithms to construct <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDSs in WSNs with unstable transmission ranges. We propose algorithms for a <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS that is bounded by <inline-formula> <tex-math notation="LaTeX">[{40.68/(1-d)^{2}+10.17}]\cdot opt+[{31.32/(1-d)^{2}+7.83}] </tex-math></inline-formula>, where <inline-formula> <tex-math notation="LaTeX">opt </tex-math></inline-formula> is the size of the MCDS and <inline-formula> <tex-math notation="LaTeX">d \in [0,1 </tex-math></inline-formula>). Through simulations, we show the relationship between the size of the <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS and the value of <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula> and compare our algorithms with existing algorithms in terms of the robustness degree of the CDS. The results show that the CDSs produced by our algorithms exhibit better robustness. |
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| AbstractList | A connected dominating set (CDS) can act as a virtual backbone (VB) in a wireless sensor network (WSN). The overhead in a WSN is usually determined by the size of the corresponding VB. However, the construction of minimum CDSs (MCDSs) has been proven to be an NP-hard problem. Thus, most researchers use approximation algorithms to find smaller CDSs. In certain applications, the transmission radii of some nodes in the network are unstable due to certain environmental factors such as obstacles, signal interference and node movement. Thus, the robustness of VBs in WSNs should be considered. In this paper, we propose the concept of a <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS and corresponding algorithms to construct <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDSs in WSNs with unstable transmission ranges. We propose algorithms for a <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS that is bounded by <inline-formula> <tex-math notation="LaTeX">[{40.68/(1-d)^{2}+10.17}]\cdot opt+[{31.32/(1-d)^{2}+7.83}] </tex-math></inline-formula>, where <inline-formula> <tex-math notation="LaTeX">opt </tex-math></inline-formula> is the size of the MCDS and <inline-formula> <tex-math notation="LaTeX">d \in [0,1 </tex-math></inline-formula>). Through simulations, we show the relationship between the size of the <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula>-robust CDS and the value of <inline-formula> <tex-math notation="LaTeX">d </tex-math></inline-formula> and compare our algorithms with existing algorithms in terms of the robustness degree of the CDS. The results show that the CDSs produced by our algorithms exhibit better robustness. A connected dominating set (CDS) can act as a virtual backbone (VB) in a wireless sensor network (WSN). The overhead in a WSN is usually determined by the size of the corresponding VB. However, the construction of minimum CDSs (MCDSs) has been proven to be an NP-hard problem. Thus, most researchers use approximation algorithms to find smaller CDSs. In certain applications, the transmission radii of some nodes in the network are unstable due to certain environmental factors such as obstacles, signal interference and node movement. Thus, the robustness of VBs in WSNs should be considered. In this paper, we propose the concept of a [Formula Omitted]-robust CDS and corresponding algorithms to construct [Formula Omitted]-robust CDSs in WSNs with unstable transmission ranges. We propose algorithms for a [Formula Omitted]-robust CDS that is bounded by [Formula Omitted], where [Formula Omitted] is the size of the MCDS and [Formula Omitted]). Through simulations, we show the relationship between the size of the [Formula Omitted]-robust CDS and the value of [Formula Omitted] and compare our algorithms with existing algorithms in terms of the robustness degree of the CDS. The results show that the CDSs produced by our algorithms exhibit better robustness. |
| Author | Liang, Xinyu Liang, Jiarong Zhang, Weiguang |
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| SubjectTerms | Algorithms approximation algorithm Approximation algorithms connected dominating set Environmental factors Interference NP-hard problem Optimized production technology Robustness unstable transmission ranges Wireless networks Wireless sensor network Wireless sensor networks |
| Title | Constructing d-Robust Connected Dominating Sets in Wireless Sensor Networks With Unstable Transmission Ranges |
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