Generalized multiplicative nonlinear elastic matching distance measure and fixed point approximation

2021 ◽  
Author(s):  
Nisha Sharma ◽  
Hemen Dutta
Keyword(s):  
Fixed Point ◽  
Distance Measure ◽  
Point Approximation ◽  
Nonlinear Elastic

scholarly journals Fixed point approximation for S K C $SKC$ -mappings in hyperbolic spaces

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Jong Kyu Kim ◽  
Samir Dashputre
Keyword(s):  
Fixed Point ◽  
Hyperbolic Spaces ◽  
Point Approximation

Implied costs in loss networks

1989 ◽  
Vol 21 (3) ◽  
pp. 661-680 ◽  
Author(s):  
P. J. Hunt
Keyword(s):  
Fixed Point ◽  
Objective Function ◽  
Rate Of Change ◽  
Loss Networks ◽  
Point Approximation ◽  
Asymptotic Accuracy

Implied costs in loss networks are measures of the rate of change of an objective function with respect to the parameters of the network. This paper considers these costs and the costs predicted by the Erlang fixed-point approximation. We derive exact expressions for the implied costs and consider the asymptotic accuracy of the approximation. We show that the approximation is asymptotically valid in some cases but is not valid in one important limiting regime. We also show that a linearity approximation for the implied costs is asymptotically correct when taken over suitable subsets of links.

scholarly journals Erlang's Fixed-Point Approximation for Performance Analysis of HetNets

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Guozhi Song ◽  
Jigang Wu ◽  
John Schormans ◽  
Laurie Cuthbert
Keyword(s):  
Fixed Point ◽  
Performance Analysis ◽  
Heterogeneous Network ◽  
Multiple Access ◽  
Wireless Systems ◽  
Network System ◽  
Call Blocking ◽  
Analysis And Evaluation ◽  
Point Approximation ◽  
Call Dropping

We consider the analytic modelling of wireless systems with multiple access technologies in the perspective of teletraffic engineering and provide a framework for the performance analysis and evaluation of a wireless HetNet (heterogeneous network) system with both cellular and WLAN access technologies. In particular, an approach with Erlang's fixed-point approximation to calculate the new call blocking and handover call dropping probabilities in such systems is introduced. The model is versatile enough to cover not only cellular/WLAN HetNet systems but other wireless HetNets with difference access technologies in general.

Fixed Point Approximation for Multirate Multihop Loss Networks With State-Dependent Routing

2004 ◽  
Vol 12 (2) ◽  
pp. 361-374 ◽  
Author(s):  
M. Liu ◽  
J.S. Baras
Keyword(s):  
Fixed Point ◽  
Loss Networks ◽  
Point Approximation ◽  
State Dependent

Fixed point approximation under Mann iteration beyond Ishikawa

2020 ◽  
Vol 61 (3) ◽  
pp. 265-275
Author(s):  
 Hester Anthony ◽  
Morales Claudio H.
Keyword(s):  
Fixed Point ◽  
Mann Iteration ◽  
Point Approximation
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