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> !0) and Eq. (30) is a monotonously increase function with ({widetilde {P}_{S1}}).
The exponential part actually determines the Egain, with the increasing of parameter M. Egain tends to be a monotonic increase function with the growth of M. As a conclusion, through simple network flow reverse operation, energy cost reservation can be achieved especially in large scale network.
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This function W0 x) is an increasing function with.
Let be a continuous increasing function with and let.
since (1.11). is monotonous increasing function with respect to.
where is a continuous and strictly increasing function with.
Assume that is a strictly increasing function with where.
Assume that (1.1). is an increasing function with respect to.
The objective function given in Eq. (25) is a monotonic increasing function with respect to τ0.
If there exists a strict increasing function with such that (1.7).
So, C g is a monotonically increasing function with respect to b.
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