Contr\^ole impulsionnel appliqu\'e \`a la gestion de changement de technologie dans une entreprise

TL;DR

This paper models a firm's decision-making process for switching technologies over an infinite horizon using impulse control theory, aiming to find optimal strategies that maximize firm value.

Contribution

It develops a dynamic programming framework for impulse control problems involving technology switching, providing a mathematical basis for optimal decision strategies.

Findings

Value function satisfies a dynamic programming principle.

Optimal switching strategies can be characterized mathematically.

Framework applicable to real-world technology management scenarios.

Abstract

We consider an impulse control problem in infinite horizon applied with switching technology. We suppose that the firm decides at certain moments (impulse moments) to switch technology, leading to a jump of the firm value. We show that the value function for such problems satisfies a dynamic programming principle version. Our objective is to look for an optimal strategy which maximizes the value function associated with a switching problem.