An Alternative Approach to Find the Fermat Point of a Polygonal Geographic Region for Energy Efficient Geocast Routing Protocols: Global Minima Scheme

Ghosh, Kaushik; Roy, Sarbani; Das, Pradip Kumar

doi:10.1109/netcom.2009.30

Cited by 16 publications

(24 citation statements)

References 4 publications

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“…In [7] we get a detailed discussion on locating the Fermat point for a triangular region in a geometric way. [3] have shown to do the same by finding the Global Minima which ensures a more generalized approach of finding the Fermat point for any number of geocast regions. However, the forwarding technique in [3] couldn't ensure a loop free solution.…”

Section: Related Workmentioning

confidence: 85%

“…[3] have shown to do the same by finding the Global Minima which ensures a more generalized approach of finding the Fermat point for any number of geocast regions. However, the forwarding technique in [3] couldn't ensure a loop free solution. This problem was eliminated in [1] and the results were thus better when it came to energy consumption and total number of hops encountered by a data packet before it reached its final destination.…”

Section: Related Workmentioning

confidence: 85%

“…The said scheme uses a Fermat Point based data forwarding technique [1][2][3], [7]. It is a protocol designed for static WASNs with a number of geocast regions to transmit a message to.…”

Section: I-min Schemementioning

confidence: 99%

“…It is a protocol designed for static WASNs with a number of geocast regions to transmit a message to. The Global Minma algorithm [3] is used for finding out the Fermat point of the polygonal/triangular region under consideration ( figure 1a). The results in [1] have shown it to outperform some of its predecessors like [2] and [3] when energy and delay are the measuring parameters (Fig 1).…”

Section: I-min Schemementioning

confidence: 99%

“…Energy consumed by a node while receiving was however a function of the received data volume only. Not only this, the network was assumed to be operating in a free space only (n=2), as was considered by many other protocols [2], [3], [4], [5].In this paper we have modified the radio model used in [1] by incorporating both of the parameters. From Frii's free space equation we get Here, P r and P t are the power required for receiving and transmitting respectively over a distance of d. So it is clear that the power consumed by a node while receiving data is dependent upon the received signal strength from the sender along with the distance between them.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Multipath Fading and Propagation Environment on the Performance of a Fermat Point Based Energy Efficient Geocast Routing Protocol

Ghosh¹

2012

IJWMN

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Energy efficiency is a much talked about thing in the domain of geocast routing protocols for Wireless Ad Hoc and Sensor Networks (WASNs). Fermat point based protocols are capable of reducing the energy consumption of a WASN by reducing the total transmission distance in a multi hop-multi sink scenario. Presently, there are quite a handful of them but many of them have not considered the effect of changing propagation environment around the considered network while measuring the performance of the protocol. Congested environment around a WASN increases the chance of multipath propagation and itin turn introduces multipath fading. In this paper, the effects of both of these factors are considered on the performance of I-Min routing protocol designed for WASNs.

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Section: Related Workmentioning

confidence: 85%

Section: Related Workmentioning

confidence: 85%

“…The said scheme uses a Fermat Point based data forwarding technique [1][2][3], [7]. It is a protocol designed for static WASNs with a number of geocast regions to transmit a message to.…”

Section: I-min Schemementioning

confidence: 99%

Section: I-min Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of Multipath Fading and Propagation Environment on the Performance of a Fermat Point Based Energy Efficient Geocast Routing Protocol

Ghosh¹

2012

IJWMN

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Spatiotemporal patterns and evolution of heavy rainfall trajectories in China

Chen

Zhu

2022

Intl Journal of Climatology

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A heavy rainfall trajectory (HRT) is defined as the trajectory formed by the movement of the rainstorm centre of a heavy rainfall event over time. Based on this definition, the dispersion degree (DD) of HRTs is applied based on the Euclidean distance and an empirical orthogonal function (EOF) to quantify the spatiotemporal distribution and evolution characteristics of HRTs in China. The results show that (a) the spatial distribution and length of HRTs in China have distinct geographical and seasonal characteristics, which are strongly influenced by the East Asian summer monsoon. (b) From southeast China to northwest China, the DDs increased to 8 and the length of HRTs decreased by 53,925 m. (c) According to EOF analysis, the direction angle change of northeast-oriented HRTs shows a significant negative trend across the country, while those of southeast-, southwest-and northwest-oriented HRTs show a significant positive trend. From 2008 to 2019, HRTs flattened in the northeast and southwest directions, while HRTs steepened in the southeast and northwest directions. This research provides certain scientific guidance for the prevention and mitigation of regional disasters and provides necessary theoretical support for the changing patterns of the climate system under the impact of climate change.

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Effect of Forwarding Strategy on the Life Time of Multi-Hop Multi-Sink Sensor Networks

Ghosh

Das

2012

Lecture Notes in Electrical Engineering

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An Alternative Approach to Find the Fermat Point of a Polygonal Geographic Region for Energy Efficient Geocast Routing Protocols: Global Minima Scheme

Cited by 16 publications

References 4 publications

Effect of Multipath Fading and Propagation Environment on the Performance of a Fermat Point Based Energy Efficient Geocast Routing Protocol

Effect of Multipath Fading and Propagation Environment on the Performance of a Fermat Point Based Energy Efficient Geocast Routing Protocol

Spatiotemporal patterns and evolution of heavy rainfall trajectories in China

Effect of Forwarding Strategy on the Life Time of Multi-Hop Multi-Sink Sensor Networks

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