An Optimized SDE Model for Slotted Aloha

Karmeshu, . ; Bhatnagar, Shalabh ; Mishra, Vivek Kumar (2011) An Optimized SDE Model for Slotted Aloha IEEE Transactions on Communications, 59 (6). pp. 1502-1508. ISSN 0090-6778

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Official URL: http://doi.org/10.1109/TCOMM.2011.041111.090113

Related URL: http://dx.doi.org/10.1109/TCOMM.2011.041111.090113

Abstract

We consider a stochastic differential equation (SDE) model of slotted Aloha with the retransmission probability as the associated parameter. We formulate the problem in both (a) the finite horizon and (b) the infinite horizon average cost settings. We apply the algorithm of for the first setting, while for the second, we adapt a related algorithm from that was originally developed in the simulation optimization framework. In the first setting, we obtain an optimal parameter trajectory that prescribes the parameter to use at any given instant while in the second setting, we obtain an optimal time-invariant parameter. Our algorithms are seen to exhibit good performance.

Item Type:Article
Source:Copyright of this article belongs to Institute of Electrical and Electronics Engineers.
Keywords:Slotted Aloha; Parameterized Stochastic Differential Equations; Simulation Optimization.
ID Code:116536
Deposited On:12 Apr 2021 06:45
Last Modified:12 Apr 2021 06:45

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