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KB=1 At what time does B schedule its retransmission At what time does A begin transmission (Note, the nodes must wait for an idle channel after returning to Step 2-- see protocol) At what time does A's signal reach B Does B refrain from transmitting at its scheduled time 16) Consider a 100Mbps 100BT Ethernet In order to have an efficiency of 50, what should be the maximum distance between a node and the hub Assume a frame length of 64 bytes and that there are no repeaters Does this maximum distance also ensure that a transmitting node A will be able to detect whether any other node transmitted while A was transmitting Why or why not How does your maximum distance compare to the actual 100 Mbps standard 17) In this problem you will derive the efficiency of a CSMA/CD-like multiple access protocol In this protocol, time is slotted and all adapters are synchronized to the slots Unlike slotted ALOHA, however, the length of a slot (in seconds) is much less than a frame time (the time to transmit a frame) Let S be the length of a slot Suppose all frames are of constant length L = k R S, where R is the transmission rate of the channel and k is a large integer Suppose there are N nodes, each with an infinite number of frames to send We also assume that tprop < S, so that all nodes can detect a collision before the end of a slot time The protocol is as follows:



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If for a given slot, no node has possession of the channel, all nodes contend for the channel; in particular, each node transmits in the slot with probability p If exactly one node transmits in the slot, that node takes possession of the channel for the subsequent k-1 slots and transmits its entire frame If some node has possession of the channel, all other nodes refrain from transmitting until the node that possesses the channel has finsished transmitting its frame Once this node has transmitted its frame, all nodes contend for the channel





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Rau H 1990a Photochemistry and photophysics Rabek J, editor Boca Raton (FL): CRC Press Inc Vol II; chap 4 Rau H 1990b Azo compounds In Studies in Organic Chemistry, Photochromism, Molecules and Systems Durr H, Bouas Lauran H, editors Amsterdam: Elsevier pp 165 192 Seki T, Sakuragi M, Kawanishi Y, Tamaki T, Fukuda R, Ichimura K, Suzuki Y 1993 Command surfaces of Langmuir Blodgett lms Photoregulations of liquid crystal alignment by molecularly tailored surface azobenzene layers Langmuir 9:211 218 Sierocki P, Maas H, Dragut P, Richardt G, Vogtle F, Cola L, Brouwer FAM, Zink JI 2006 Photoisomerization of azobenzene derivatives in nanostructured silica J Phys Chem B 110:24390 24398 Tanaka M, Yonezawa Y 1997 Photochemical regulation of ion transport through quasi channels embedded in black lipid membrane Mater Sci Eng C 4(4):297 301 Tanaka M, Sato T, Yonezawa Y 1995.

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Other elements located within the control runs include: Series and parallel actuators to alter the control runs according to autostabilisation or autopilot commands Electrical trim actuators in pitch and roll activated by a stick top control Pitch and roll spring feel units Primary and secondary mixing units that mechanically sum the various channel demands to provide a harmonised response as the helicopter manoeuvres Rotor head actuators Tail rotor actuators

Note that the channel alternates between two states: the "productive state" which lasts exactly k slots, and the non-productive state which lasts for a random number of slots Clearly, the channel efficiency is the ratio of k/(k+x), where x is the expected number of consecutive unproductive slots a) For fixed N and p, determine the efficiency of this protocol b) For fixed N, determine the p that maximizes the efficiency c) Using the p (which is a function of N) found in part (b), determine the efficiency as N approaches infinity d) Show that this efficiency approaches 1 as the frame length becomes large 18) Suppose two nodes, A and B, are attached to opposite ends of a 900 m cable, and that they each have one frame of 1000 bits (including all headers and preambles) to send to each other Both nodes attempt to transmit at time t=0 Suppose there are four repeaters between A and B, each inserting a 20 bit delay Assume the transmission rate is 10 Mbps, and CSMA/CD with backoff intervals of multiples of 512 bits is used After the first collision, A draws K=0 and B draws K=1 in the exponential backoff protocol Ignore the jam signal

Permeability enhancement in phospholipid bilayer containing azobenzene derivative around the phase transition temperature Langmuir 11:2834 Tanaka M, Sato T, Yonezawa Y 1996a Speci c photoresponse of dmpc liposomes doped with azobenzene derivative around the phase transition temperature Thin Solid Films 284/285:829 832 Tanaka M, Yonezawa Y, Sato T 1996b Photochemical control of DC current across planar bilayer lipid membranes doped with azobenzene derivative Thin Solid Films 284/ 285:833 835 Ueda M, Kim HB, Ikeda T, Ichimura K 1992 Photoisomerization of an azobenzene in sol gel glass lms Chem Mater 4:1229 1233 Ueda M, Kim Hb, Ikeda T, Ichimura K 1993 Photoisomerizability of an azobenzene covalently attached to silica gel matrix J Non Crystal Solids 163:125 132 Ueda M, Kim HB, Ichimura K 1994 Photochemical and thermal isomerization of azobenzene derivatives in sol gel bulk materials Chem Mater 6:1771 1775 Victor JG, Torkelson JM 1987.

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On measuring the distribution of local free volume in glassy polymers by photochromic and uorescence techniques Macromolecule 20:2241 2250..

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