A continuum description for a DES control problem

Dieter Armbruster, Michael Herty, Christian Ringhofer

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


In Perdaen et al [1] we developed a Discrete Event Simulation (DES) for a re-entrant semiconductor factory with a push dispatch policy at the beginning of the line and a pull dispatch policy at the end of the line. The simulation uses a heuristic to move the transition point between both policies, the push-pull point (PPP), along the production line. The paper showed that the heuristic PPP control together with a CONWIP policy as a starts policy reduces the mismatch between a fluctuating demand and a fluctuating production output. In this paper we develop a continuum model for the production line with dispatch policies using transport equation models. We analyze the resulting discontinuous partial differential equations and show that the movement of the PPPs generate shock waves that travel along the supply chain. The heuristic control approach of the DES is implemented in the continuum setting. We propose a project based on adjoint calculus to determine an optimal control policy for the PDE model.

Original languageEnglish (US)
Article number6425934
Pages (from-to)7372-7376
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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