#STEFAN KAISER RALEIGH PROFESSIONAL#
MCAFEE & TAFT, A PROFESSIONAL CORPORATIONĬHAMBERLAIN, HRDLICKA, WHITE, WILLIAMS & AUGHTRY, P. STEARNS WEAVER MILLER WEISSLER ALHADEFF & SITTERSON PA HALL, RENDER, KILLIAN, HEATH & LYMAN, P.C. OBLON, MCCLELLAND, MAIER & NEUSTADT, L.L.P. MILLER, CANFIELD, PADDOCK AND STONE, P.L.C.ĪLLEN MATKINS LECK GAMBLE MALLORY & NATSIS LLP Loan AmountīENESCH, FRIEDLANDER, COPLAN & ARONOFF LLP The following list comprises the 14,363 law firms that received PPP Loans, as well as the amount they were given and the jobs they reportedly retained. In order to provide transparency, the newly released data showcases all the businesses that received more than $150,000 in PPP loans. While the PPP Loans were distributed with the goal of helping small businesses during the COVID-19 crisis, many larger companies with significant resources have made headlines for participating in the program and making it more difficult for smaller businesses to obtain funds. The disclosure released information on the businesses that received the loans, the loan amount, and the number of jobs supported. Small Business Administration (SBA) and the Treasury Department released data on their Paycheck Protection Program (PPP) Loans. More importantly, we have proved that the fundamental delay-capacity tradeoff ratio for multicast is delay/rate ≥ O(n log k), which would guide us to design better routing schemes for multicast.On July 6, 2020, the U.S. The ratio between delay and capacity satisfies delay/rate ≥ O(nk log k) for these two protocols, which are both smaller than that of directly extending the fundamental tradeoff for unicast established by Neely and Modiano to multicast, i.e., delay/rate ≥ O(n k2). The capacity of the 2-hop relay algorithm without redundancy is better than the multicast capacity of static networks developed by Li as long as k is strictly less than n in an order sense, while when k=Θ(n), mobility does not increase capacity anymore. We find that the per-node delay and capacity for the 2-hop algorithm without redundancy are Θ(1/k) and Θ(n log k), respectively for the 2-hop algorithm with redundancy, they are Ω(1/k√(n log k)) and Θ(√(n log k)), respectively. In addition, we obtain the maximum capacity and the minimum delay under certain constraints. Assuming nodes move according to an independently and identically distributed (i.i.d.) pattern and each desires to send packets to k distinctive destinations, we compare the delay and capacity in two transmission protocols: one uses 2-hop relay algorithm without redundancy the other adopts the scheme of redundant packets transmissions to improve delay while at the expense of the capacity. In this paper, we define multicast for an ad hoc network through nodes' mobility as MotionCast and study the delay and capacity tradeoffs for it. This tradeoff ratio is identical to that of noncooperative scheme, while the throughput is greatly improved. Our optimal cooperative strategy achieves an approximate delay-throughput tradeoff D(n,k)/T(n,k)=Θ(k) when h&- x2192 ∞. Moreover, to schedule the traffic with the converge multicast instead of the pure multicast strategy, we can dramatically reduce the delay by a factor of about ( ). Compared to the single-hop MIMO transmission strategy, the multihop strategy achieves a throughput gain of ( ) and meanwhile reduces the energy consumption by k times approximately, where h > 1 is the number of the hierarchical layers, and α > 2 is the path-loss exponent. Two factors contribute to the optimal performance: multihop MIMO transmission and converge-based scheduling. Stefan Kaiser studied Physics at the RWTH Aachen and received his Diploma in 2005. Among all four cooperative strategies proposed in our paper, one is superior in terms of the three performance metrics: throughput, delay, and energy consumption. This achieves a gain of nearly √ compared to the noncooperative scheme in Li 's work (Proc.
By utilizing the hierarchical cooperative MIMO transmission, our new policies can obtain an aggregate throughput of Ω(( )1-ε) for any ε > 0. Specifically, we propose a new class of scheduling policies for multicast traffic.
In this paper, we investigate the scaling law for multicast traffic with hierarchical cooperation, where each of the n nodes communicates with k randomly chosen destination nodes. It has been shown in a previous version of this paper that hierarchical cooperation achieves a linear throughput scaling for unicast traffic, which is due to the advantage of long-range concurrent transmissions and the technique of distributed multiple-input-multiple-output (MIMO).
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