We discuss the existence of weak solutions to the Cauchy problem for one class of hyperbolic conservation laws that models a highly re-entrant production system. The output of the factory is described as a function of the work in progress and the position of the so-called push-pull point (PPP) where we separate the beginning of the factory employing a push policy from the end of the factory, which uses a pull policy. The main question we discuss in this paper is about the optimal choice of the input in-ux, push and pull constituents, and the position of PPP.

On existence of weak solutions to a Cauchy problem for one class of conservation laws

MANZO, Rosanna
2015

Abstract

We discuss the existence of weak solutions to the Cauchy problem for one class of hyperbolic conservation laws that models a highly re-entrant production system. The output of the factory is described as a function of the work in progress and the position of the so-called push-pull point (PPP) where we separate the beginning of the factory employing a push policy from the end of the factory, which uses a pull policy. The main question we discuss in this paper is about the optimal choice of the input in-ux, push and pull constituents, and the position of PPP.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4646350
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