A quadratic model for production-inventory planning was made famous by Holt, Modigliani, Muth, and Simon in 1960 in [3], especially for its application to a paint factory. A discrete control version of a related quadratic production-inventory model was studied by Kleindorfer, Kriebel, Thompson,...

First-order necessary and sufficient conditions are obtained for the following quasilinear distributed-parameter optimal control problem:max{J(u)=IntF(x,u,t)dw IntG(x,t)dsigma},subject to the partial differential equationA(t)x =f(x, u, t),where t, u, G are vectors and x, F are scalars. Use is...

We consider a production-inventory planning problem with time-varying demands, convex production costs and a warehouse capacity constraint. It is solved by use of the Lagrangian form of the maximum principle. The possible existence of strong decision and forecast horizons is demonstrated. When...

A number of real world processes can be modelled as exponential decay processes. Examples are: machine replacement, oil well extraction, advertising goodwill, repair and cleaning activities, etc.. In this paper we analyze a series of discounted or undiscounted, deterministic or stochastic...