1984
DOI: 10.1109/tcom.1984.1096124
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The Spatial Capacity of a Slotted ALOHA Multihop Packet Radio Network with Capture

Abstract: A bstract-In this paper we determine throughput equations for a packet radio network where terminals are randomly distributed on the plane, are able to capture transmitted signals, and use slotted ALOHA to access the channel. We find that the throughput of the network is a strictly increasing function of the receiver's ability to capture signals, and depends on the transmission range of the terminals and their probability of transmitting packets. Under ideal circumstances, we show the expected fraction of term… Show more

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Cited by 173 publications
(96 citation statements)
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“…The expected total waiting time (ET W t ) required for all the data packets to reach the T arget region [17] is given in equation (13). h is minimum number of hops, T ps is processing time and E N is time spent by nodes after receiving overall data packets, and the time within which LW nodes are expected to get a new neighbor (equation (11)) for given N , A, d t and r. h = D r , where D is distance between center of T arget region and center of Data region and r is range of mobile node.…”
Section: A Expected Waiting Time To Get a Neighbor Node Under Lw Mobmentioning
confidence: 99%
See 2 more Smart Citations
“…The expected total waiting time (ET W t ) required for all the data packets to reach the T arget region [17] is given in equation (13). h is minimum number of hops, T ps is processing time and E N is time spent by nodes after receiving overall data packets, and the time within which LW nodes are expected to get a new neighbor (equation (11)) for given N , A, d t and r. h = D r , where D is distance between center of T arget region and center of Data region and r is range of mobile node.…”
Section: A Expected Waiting Time To Get a Neighbor Node Under Lw Mobmentioning
confidence: 99%
“…h is minimum number of hops, T ps is processing time and E N is time spent by nodes after receiving overall data packets, and the time within which LW nodes are expected to get a new neighbor (equation (11)) for given N , A, d t and r. h = D r , where D is distance between center of T arget region and center of Data region and r is range of mobile node. From equation (13), when E N is minimum say E N ≈ 0, minimum end-to-end waiting time (T W t min ) bound for users to receive data is obtained from equation (14).…”
Section: A Expected Waiting Time To Get a Neighbor Node Under Lw Mobmentioning
confidence: 99%
See 1 more Smart Citation
“…Each node routes a packet to the neighbor in its cell that is the nearest to the receiver. Several strategies can be adopted to select the next hop [13], [14], [15], [16]. In fig.1(a), an example of GREEDY forwarding is shown, taken from [17].…”
Section: Related Workmentioning
confidence: 99%
“…Moreover, if Z is the r.v. governing the projected advancement toward the sink, its pdf conditioned on r is given by [17]:…”
Section: Characterization Of Optimal Advancementsmentioning
confidence: 99%