Production processes comprising both the lot-sizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal ...

We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- in a bounded open interval, with zero boundary conditions, where -- is a strongly uniformly elliptic differential operator, ...

We consider a one-dimensional cutting stock problem in which the material not used in the cutting patterns, if large enough, is kept for use in the future. Moreover, it is assumed that leftovers should not remain in stock ...

We consider a one-dimensional cutting stock problem in which the material not used in the cutting patterns, if large enough, is kept for use in the future. Moreover, it is assumed that leftovers should not remain in stock ...

Let Ω := (a, b) ⊂ R, m ∈ L1 (Ω) and λ > 0 be a real parameter. Let L be the differential operator given by Lu := −φ (u) + r (x) φ (u), where φ : R → R is an odd increasing homeomorphism and 0 ≤ r ∈ L1 (Ω). We study the ...

Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, ...

In this article, we review published studies that consider the solution of the one-dimensional cutting stock problem (1DCSP) with the possibility of using leftovers to meet future demands, if long enough. The one-dimensional ...

In this paper, a manufacturer of automotive springs is studied in order to reduce inventory costs and losses in the steel bar cutting process. For that, a mathematical model is proposed considering parallel machines and ...