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The paper also defines an architecture for collaboration-capable computer agents that satisfies the constraints of the model and is a natural extension of the standard architecture for resource-bounded agents operating as individuals.
FBA determines a distribution of steady-state reaction fluxes that satisfies the constraints of the model and that optimizes a biological objective function such as biomass or adenosine triphosphate (ATP) production [ 4].
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Above, we consider only one constraint of the model and derive an upper bound.
Let and, respectively, denote the optimal solutions of the objective function from the expectation model and the new hybrid model, while and denote the violation degrees against all constraints of the expectation model and the hybrid model, respectively.
Section 3 establishes the objective function of the model and describes the constraints of the model.
Even with constraints, the two-stage structure of the model, and the combination of binary assignments and continuous-valued weights (and nonlinearities) makes optimization difficult.
The computation of dense and sparse realizations can be traced back to mixed integer linear programming (MILP) where the decision variables are the non-diagonal elements of A k, the linear constraints encode the kinetic properties of the model, and the objective function contains integer variables for minimizing/maximizing the number of nonzero reaction rate coefficients [ 72].
The act of identifying model breaking points illuminates the affordances and constraints of the model.
Then, a brief description about the objective functions and constraints of the model are presented.
Unlike for the continuous-time case, for the discrete-time one some (non-negative) parametric constraints are derived from the biological significance of the model and become fundamental for the proofs of such results.
A case study is presented to demonstrate the practicality and efficiency of the model, and different constraint violation risk levels and related results are also obtained.
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