We introduce the equilibrium problem to the optimization problem: min x ∈ C ζ ( x ), (4.1).
Before we introduce the equilibrium concepts of multiobjective noncooperative games, we give the following notation.
Therefore, we introduce the equilibrium point of SIR model to separate the forwarding process.
We introduce the equilibrium definition based on Wardrop's principles when there are some internal relationships between different kinds of goods which transported through the same traffic network.
In 1994, Blum and Oettli (see [1]) introduced the equilibrium problem (EP) which is to find x ¯ ∈ K, such that f ( x ¯, y ) ≥ 0, ∀ y ∈ K. (1.1).
In this paper, we introduce the equilibrium definition about this problem based on Wardrop's principles and propose a mathematical model about this traffic equilibrium problem in dynamic networks.
In 1994, Blum and Oettli [5] introduced the equilibrium problem which is to find (xin C) such that begin{aligned} F x,y geq0 quadmbox{for all } yin C. end{aligned} (1.1) They denoted the solution set of problem (1.1) as (EP(F)).
The steady-state balance equation describing for n is then Solving for n and noting the rate of elongation is r= kt n yields where we have introduced the equilibrium dissociation constant, KD≡ koff/ kon.
The difficulty in modelling, due to the rate of dismutation reaction compared with the other physicochemical phenomena, was dealt with by introducing the dismutation equilibrium into a suitable linear combination of differential mass balance equations.
J.B.S. Haldane, who is best known as an evolutionary biologist, used the quantitative skills he developed for population genetical analyses to make a fundamental contribution to systems biology by introducing the quasi-equilibrium approximation to Michaelis-Menten kinetics [ 278], still widely used in current systems biology.
