Fixed cost minimization over a Leontief substitution system

Distribution System Annual Cost Minimization Using Clean Type Technologies

One of the basic obstacles in the deployment of clean technologies such as wind turbines or PV modules is their intermittent nature due to dependency on the wind speed and solar radiance. In fact, the authors in this paper aim to investigate the effect of clean technologies such as wind turbines and PV modules on the total and individual costs of the distribution system. In order to model the u...

A PTAS for the minimization of polynomials of fixed degree over the simplex

Abstract. We consider the problem of computing the minimum value pmin taken by a polynomial p(x) of degree d over the standard simplex ∆. This is an NP-hard problem already for degree d = 2. For any integer k ≥ 1, by minimizing p(x) over the set of rational points in ∆ with denominator k, one obtains a hierarchy of upper bounds p∆(k) converging to pmin as k −→ ∞. These upper approximations are ...

A PTAS for the minimization of polynomials of fixed degree over the simplex - Extended abstract

One may assume w.l.o.g. that p(x) is a homogeneous polynomial (form). Indeed, as observed in [2], if p(x) = ∑d l=0 pl(x), where pl(x) is homogeneous of degree l, then minimizing p(x) over ∆ is equivalent to minimizing the degree d form p(x) := ∑d l=0 pl(x)( ∑n i=1 xi) . Problem (1) is an NP-hard problem, already for forms of degree d = 2, as it contains the maximum stable set problem. Indeed, f...

Modeling and cost minimization of weigh reduction of a polyethylene terephthalate fabric bu sodium hydroxide

Cost Minimization of a Competitive Firm

One of the economists’ missions is to predict the behavioral responses of consumers or firms on the assumption that optimizing continues. Once this capability is developed, economists try to manage “today” to optimize future economic return of the inputs. Techniques to predict future performance vary from an educated guess based on an appropriate analogy to very complex analytical and numerical...