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be as high as 32 seconds for a connection with an average round trip time of just 1 second [17] This adversely affects the performance of TCP because, on packet loss in the absence of duplicate ACKs to trigger fast retransmit, TCP will wait for an RTO amount of time before inferring a loss, thereby slowing down the progression of the connection 1334 Low Bandwidth Wireless networks are characterized by significantly lower bandwidths than their wireline counterparts Pico- and microcell wireless networks offer bandwidths in the range of 2 10 Mbps However, macrocell networks that include wide-area wireless networks typically offer bandwidths of only a few tens of kilobits per second CDPD offers 192 Kbps, and the bandwidth can potentially be shared by upto 30 users RAM (Mobitex) offers a bandwidth of around 8 Kbps, and ARDIS offers either 48 Kbps or 19.

Protocol Broadcast ( p) every station transmits on the channel with probability 1/2p; if the status of the channel is SINGLE then the unique station that has transmitted becomes the leader and all stations exit the (main) protocol 1041 A Uniform Leader Election Protocol Terminating in 2 log log n Time Slots In outline, our leader election protocol proceeds in three phases In Phase 1 the calls Broadcast(20), Broadcast(21), Broadcast(22), , Broadcast(2t) are performed until, for the first time, the status of the channel is NULL in Broadcast(2t) At this point Phase 2 begins Phase 2 executes a variant of binary search on the interval [0, 2t] using the protocol Broadcast as follows: First, Broadcast(2t/2) is executed If the status of the channel is SINGLE then the unique station that has transmitted becomes the leader.

If the status of channel is NULL then binary search is performed on the interval [0, (2t/2)], that is, Broadcast(2t/4) is executed If the status of channel is COLLISION then binary search is performed on the inter val [(2t/2), 2t], that is, Broadcast(3 2t) is executed 4 This procedure is repeated until, at some point, binary search cannot further split an interval Let u be the integer such that the last call of Phase 2 is Broadcast(u) Phase 3 repeats the call Broadcast(u) until, eventually, the status of the channel is SINGLE, at which point a leader has been elected It is important to note that the value of u is continuously adjusted in Phase 3 as follows: if the status of the channel is NULL, then it is likely that 2u is larger than n Thus, u is decreased by one.

2 Kbps of bandwidth The above figures represent the raw bandwidths offered by the respective networks; the effective bandwidths can be expected to be even lower Such low bandwidths adversely affect TCP s performance because of TCP s bursty nature In TCP s congestion control mechanism, when the congestion window size is increased, packets are burst out in a bunch as long as there is room under the window size During the slow start phase, this phenomenon of bursting out packets is more pronounced since the window size increases exponentially When the low channel bandwidth is coupled with TCP s bursty nature, packets within the same burst experience increasing roundtrip times because of the transmission delays experienced by the packets ahead of them in the mobile host s buffer.

By the same reasoning, if the status of the channel is COLLISION, u is increased by one With this preamble out of the way, we are now in a position to spell out the details of our uniform leader election protocol Protocol Uniform-election Phase 1: i 1; repeat i i + 1; Broadcast(2i) until the status of the channel is NULL; Phase 2: l 0; u 2i; while l + 1 < u do m (l + u)/2 ; Broadcast(m);.