Abstract
An ad hoc network is a set of distributed nodes dispersed within a relatively limited area with wireless connections. Based on available paths, hierarchical algorithms divide the network into two levels of hierarchy. The main goal of this paper is to design an optimum allocation algorithm in the wireless networks using a fuzzy logic (FL) algorithm, namely fuzzy-hierarchical algorithm. FL is adopted due to its simplicity in calculation to improve the speed by reducing the exchanged information. Results demonstrate the feasibility of the proposed algorithm.
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Abbreviations
- A :
-
Routing matrix
- C :
-
Network links capacity vector
- D :
-
Delay
- ∆:
-
Virtual destination group
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {f}\) :
-
Flow vector
- J :
-
Links group
- J L :
-
Hierarchy low-level links group
- J H :
-
Hierarchy high-level links group
- Q :
-
Virtual users’ number
- \(\Re\) :
-
Users group
- P :
-
Network all routes group
- U r :
-
User efficiency function
- U :
-
Efficiency function vector
- V(.):
-
Lyapunov function
- x r :
-
rth user rate vector
- X :
-
Users’ rate vector
- \(\lambda_{r}\) :
-
rth user penalty functions group
- \(\omega_{r}\) :
-
rth user efficiency function parameter
- \(\mu\) :
-
Lagrange ratio vector
- L :
-
Lagrange function
- Ω 1 :
-
Subnetwork virtual user
- \(\chi_{i}\) :
-
Cumulative rate of user
- X u :
-
Rate of users
- α :
-
Proportional fairness index
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Garaaghaji, A., Alfi, A. A Fuzzy-Hierarchical Routing Algorithm for MANET Networks Allocation Rates Problem. Iran J Sci Technol Trans Electr Eng 44, 1003–1011 (2020). https://doi.org/10.1007/s40998-019-00253-z
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DOI: https://doi.org/10.1007/s40998-019-00253-z