scholarly journals Triple Path to the Exponential Metric

2020 ◽  
Vol 50 (11) ◽  
pp. 1346-1355 ◽  
Author(s):  
Maxim Makukov ◽  
Eduard Mychelkin
Keyword(s):  
2022 ◽  
pp. 100946
Author(s):  
Bobur Turimov ◽  
Yunus Turaev ◽  
Bobomurat Ahmedov ◽  
Zdeněk Stuchlík

Author(s):  
Mohammad Al Bataineh ◽  
Maria Alonso ◽  
Siyun Wang ◽  
Wei Zhang ◽  
Guillermo Atkin

2005 ◽  
Vol 1 (1) ◽  
pp. 123-147 ◽  
Author(s):  
Narayanan Sadagopan ◽  
Bhaskar Krishnamachari

We examine the problem of maximizing data collection from an energy-limited store-and-extract wireless sensor network, which is analogous to the maximum lifetime problem of interest in continuous data-gathering sensor networks. One significant difference is that this problem requires attention to “data-awareness” in addition to “energy-awareness”. We formulate the maximum data extraction problem as a linear program and present a 1 + ω iterative approximation algorithm for it. As a practical distributed implementation we develop a faster greedy heuristic for this problem that uses an exponential metric based on the approximation algorithm. We then show through simulation results that the greedy heuristic incorporating this exponential metric performs near-optimally (within 1 to 10% of optimal, with low overhead) and significantly better than other energy aware routing approaches (developed mainly through intuition), particularly when nodes are heterogeneous in their energy and data availability.


2018 ◽  
Vol 10 (1) ◽  
pp. 167-177
Author(s):  
Ramdayal Singh Kushwaha ◽  
Gauree Shanker

Abstract The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.


2020 ◽  
Vol 20 (3) ◽  
pp. 391-400
Author(s):  
Gauree Shanker ◽  
Kirandeep Kaur

AbstractWe prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous Finsler space with exponential metric. Using this formula, we obtain a formula for the mean Berwald curvature of such a homogeneous Finsler space.


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