In the case of constraint (15), the KKT conditions for necessary and sufficient optimality of the convex program (34) s.t.
In the case of constraint 98, students solving the easier problem 2 do not violate the constraint next time it is relevant.
Moreover, the controller ensures convergence to the centralized optimum, even in the case of coupled constraints.
In the case of static constraints, the matrix is considered constant over time.
In the case of no constraints on the control (({mathcal {U}}_{mathrm{ad}}={mathcal{U}})).
In the case of linear constraints, the problem can be solved efficiently by parametric quadratic programming (i.e., variants of Markowitz' critical line algorithm).
In the case of no constraints on the control (({mathcal {U}}_{ad}={mathcal {U}})), then (4.9) reduces to p+Nu=0 quadmbox{on } Sigma.
Milk production can be labour intensive, and in the case of resource constraints, farmers can hardly hire out labour for milk production.
Moreover, in the case of informational constraints (more specifically, spouses who do not know each others' preferences well) or the impossibility to make binding and costlessly enforceable agreements on the transfer of (in our case endogenous) resources, the non-cooperative setting is a useful benchmark.
In the case of additional constraints, it includes only modules that satisfy them.
