Optimal inflow control in transport systems with uncertain demands ‐ A comparison of undersupply penalties
Abstract: We address the challenging task of setting up an optimal production plan taking into account uncertain demand. The transport process is represented by the linear advection equation and the uncertain demand stream is captured by an Ornstein‐Uhlenbeck process (OUP). With a model predictive control approach, we determine the optimal inflow. We use two types of undersupply penalties and compare the average undersupply as well as the number of undersupply cases in a numerical simulation.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Optimal inflow control in transport systems with uncertain demands ‐ A comparison of undersupply penalties ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)
- Creator
- DOI
-
10.1002/pamm.201900252
- URN
-
urn:nbn:de:101:1-2022072208204392937042
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:28 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
Other Objects (12)
Optimal inflow control in transport systems with uncertain demands ‐ A comparison of undersupply penalties
Chance‐constrained optimal inflow control in hyperbolic supply systems with uncertain demand
Penalties
Optimal Target Dates and Penalties for Contract Work
Price Caps and Uncertain Demands
Long-run Investment under Uncertain Demand
Private Road Networks with Uncertain Demand
Private Road Networks with Uncertain Demand
Optimal decisions and comparison of VMI and CPFR under price-sensitive uncertain demand
Optimal aging with uncertain death
Optimal Aging with Uncertain Death
Simulation-based determination of systematic errors of flow meters due to uncertain inflow conditions
Optimal inflow control in transport systems with uncertain demands ‐ A comparison of undersupply penalties
Chance‐constrained optimal inflow control in hyperbolic supply systems with uncertain demand
Penalties
Optimal Target Dates and Penalties for Contract Work
Price Caps and Uncertain Demands
Long-run Investment under Uncertain Demand
Private Road Networks with Uncertain Demand
Private Road Networks with Uncertain Demand
Optimal decisions and comparison of VMI and CPFR under price-sensitive uncertain demand
Optimal aging with uncertain death
Optimal Aging with Uncertain Death
Simulation-based determination of systematic errors of flow meters due to uncertain inflow conditions
Optimal inflow control in transport systems with uncertain demands ‐ A comparison of undersupply penalties
Chance‐constrained optimal inflow control in hyperbolic supply systems with uncertain demand
Penalties
Optimal Target Dates and Penalties for Contract Work
Price Caps and Uncertain Demands
Long-run Investment under Uncertain Demand
Private Road Networks with Uncertain Demand
Private Road Networks with Uncertain Demand
Optimal decisions and comparison of VMI and CPFR under price-sensitive uncertain demand
Optimal aging with uncertain death
Optimal Aging with Uncertain Death