How can we get the reduced reliability with minimum throughput and packet delivery ratio, accordingly if we define the throughput and PDR are the measures of BW will it validate?
You can use aggregation to increase the throughput, and reduce the energy consumed in WSN.
I am not really sure if it will increase reliability or PDR. Those are dependent on error (channel conditions etc).
The primary benefit of data aggregation in a wireless sensor network is to conserve energy by reducing end-to-end data transmissions, by combining data from sensors along the path to the sink (base station or data query). It has no direct correlation to metrics such as bandwidth utilization or packet delivery ratio, although the choice of aggregation protocol may indirectly impact these metrics. One downside is that although data aggregation results in fewer transmissions, it might lead to increased delay in the case of some aggregation functions because intermediate nodes have to wait on data from further sources before aggregating it with data from nearer sources (in terms of hops).
Bhaskar Krishnamachari and Stephen Wicker (along with my PhD advisor Deborah Estrin) have analyzed the network graph and derived some analytical bounds on the energy costs and savings that could be obtained with data aggregation, considering factors such as source-sink distances and inter-distances between sources. You might want to start with reading this paper if you are striving for a theoretical formulation.
Krishnamachari, B.; Estrin, D.; Wicker, S., "The impact of data aggregation in wireless sensor networks," Distributed Computing Systems Workshops, 2002. Proceedings. 22nd International Conference on , vol., no., pp.575,578, 2002 doi: 10.1109/ICDCSW.2002.1030829
Tatiana Bokareva, Sanjay Jha and I did a detailed performance comparison of different data dissemination protocols for wireless sensor networks using ns-2 simulations - Directed Diffusion, Gradient Broadcast and Two-Tier Data Dissemination (back in 2004!), and found that the choice of the protocol indeed impacts packet delivery ratio, besides mean energy consumption and control traffic. However, we did not isolate how much of the difference was attributable to the data aggregation itself.
Tatiana Bokareva, Nirupama Bulusu and Sanjay Jha. A Performance Comparison of Data Dissemination Protocols for Wireless Sensor Networks. In Proceedings of IEEE Globecom Wireless Ad Hoc and Sensor Networks Workshop, Dallas, Texas, USA. November, 2004.
http://web.cecs.pdx.edu/~nbulusu/papers/tatiana-globecom.pdf
Data aggregation relates to suppressing various types of redundancies in the data either at data gathering stage or while in transit. Some of the benefits of data aggregation are reduction in energy consumption, number of computations, storage space, control overheads, etc. Bandwidth utilization may be enhanced when multiple complexities are reduced.
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