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Extra resources for FEM Theory and Analisys with ANSYS
Sample text
MIS-based CDSs with the smallest ID dominator selection scheme, which is the work in [17], noted by MIS-ID. We compare them in terms of the p-norm value, network lifetime, which is defined as the time duration till the first dominator’s energy is depleted, and the standard derivation of the residual energy of all the nodes. 1 Simulation Environment We build our own simulator where all the nodes have the same transmission range (10 m). n nodes are randomly deployed in a fixed area of 100 m × 100 m.
2(a)). Thus, node s7 is added into the DS set, since d7 = d¯ = 3. 2: Construction of an LBCDS. 2(b)), since s3 and its 1-hop neighbors, s6 and its 1-hop neighbors are not dominated. Nodes s1 and s2 are not added into the DS set, because they have smaller degree values than nodes s3 and s6 . So far, there are three nodes in the DS set, which forms a CDS, therefore the algorithm terminates. Finally, we get an LBCDS which is {s3 , s6 , s7 }. 10 on Page 128, p-norm is the measurement of the loadbalance for CDSs.
However, solving the non-linear programming is too time and energy consuming. If precision is the major concern, we can solve the non-linear programming formulas at the base station. Nevertheless, if the energy and time are the primary concern, a distributed algorithm to find a near-optimal solution is preferred. 4. Let EAPi j be the optimal solution of the non-linear programming. 2: for each dominatee si do 3: Generate a number δ between 0 and 1 4: if δ ∈ [ k −1 j=0 EAPi j , k EAPi j ], where 0 < k ≤ NE(si ) then j=0 mark the link between dominatee si and dominator sk black end if 7: end for 8: return all black links.
