Zonotopes and mixtures management. (English) Zbl 0689.90024

Girard, Didier; Valentin, Patrick

New methods in optimization and their industrial uses, Proc. Symp., Pau/Fr. and Paris/Fr. 1987, ISNM, Int. Ser. Numer. Math. 87, 57-71 (1989).

[For the entire collection see Zbl 0679.00019.]
A new concept of geometric management of stock is presented in the case of an a priori uniform probability of the demand. In contrast to linear programming the convex set of mixtures used in the approach gives a global view of all production possibilities.

Reviewer: T.Sawik

MSC:

90B05	Inventory, storage, reservoirs
90C90	Applications of mathematical programming
90B30	Production models
90C05	Linear programming
65K05	Numerical mathematical programming methods
52Bxx	Polytopes and polyhedra

Keywords:

convex polytopes; zonotopes; geometric management of stock

Citations:

Zbl 0679.00019