ALOHA random access protocols are distributed protocols based on transmission probabilities, that is, each node decides upon packet transmissions according to a transmission probability value. In the literature, ALOHA protocols are analysed by giving necessary and sufficient conditions for the stability of the queues of the node buffers under a control vector (whose elements are the transmission probabilities assigned to the nodes), given an arrival rate vector (whose elements represent the rates of the packets arriving in the node buffers). The innovation of this work is that, given an arrival rate vector, it computes the optimal control vector by defining and solving a stochastic control problem aimed at maximising the overall transmission efficiency, while keeping a grade of fairness among the nodes. Furthermore, a more general case in which the arrival rate vector changes in time is considered. The increased efficiency of the proposed solution with respect to the standard ALOHA approach is evaluated by means of numerical simulations. © 2013 © 2013 Taylor & Francis.

A stochastic control approach to Slotted-ALOHA random access protocol / Pietrabissa, Antonio. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - 86:12(2013), pp. 2290-2301. [10.1080/00207179.2013.811540]

A stochastic control approach to Slotted-ALOHA random access protocol

PIETRABISSA, Antonio
2013

Abstract

ALOHA random access protocols are distributed protocols based on transmission probabilities, that is, each node decides upon packet transmissions according to a transmission probability value. In the literature, ALOHA protocols are analysed by giving necessary and sufficient conditions for the stability of the queues of the node buffers under a control vector (whose elements are the transmission probabilities assigned to the nodes), given an arrival rate vector (whose elements represent the rates of the packets arriving in the node buffers). The innovation of this work is that, given an arrival rate vector, it computes the optimal control vector by defining and solving a stochastic control problem aimed at maximising the overall transmission efficiency, while keeping a grade of fairness among the nodes. Furthermore, a more general case in which the arrival rate vector changes in time is considered. The increased efficiency of the proposed solution with respect to the standard ALOHA approach is evaluated by means of numerical simulations. © 2013 © 2013 Taylor & Francis.
markov decision process; slotted-aloha protocol; stochastic control
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A stochastic control approach to Slotted-ALOHA random access protocol / Pietrabissa, Antonio. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - 86:12(2013), pp. 2290-2301. [10.1080/00207179.2013.811540]
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