The Development of a Unified Modeling Framework for the Household Activity-Travel Scheduling Process

1999 ◽  
pp. 35-56 ◽  
Author(s):  
S. T. Doherty ◽  
K. W. Axhausen
Keyword(s):  
Modeling Framework ◽  
Household Activity ◽  
Unified Modeling

Solidification and dynamic wetting: A unified modeling framework

2021 ◽  
Vol 33 (7) ◽  
pp. 072101
Author(s):  
Yulii D. Shikhmurzaev
Keyword(s):  
Modeling Framework ◽  
Dynamic Wetting ◽  
Unified Modeling

scholarly journals Model predictive scheduling of semi-cyclic discrete-event systems using switching max-plus linear models and dynamic graphs

2020 ◽  
Vol 30 (4) ◽  
pp. 635-669
Author(s):  
Ton J. J. van den Boom ◽  
Marenne van den Muijsenberg ◽  
Bart De Schutter
Keyword(s):  
Discrete Event Systems ◽  
Linear Models ◽  
Discrete Event ◽  
Mixed Integer ◽  
Dynamic Graph ◽  
Modeling Framework ◽  
Unified Modeling ◽  
Event Systems ◽  
Optimization Parameters ◽  
Predictive Scheduling

Abstract In this paper we discuss scheduling of semi-cyclic discrete-event systems, for which the set of operations may vary over a limited set of possible sequences of operations. We introduce a unified modeling framework in which different types of semi-cyclic discrete-event systems can be described by switching max-plus linear (SMPL) models. We use a dynamic graph to visualize the evolution of an SMPL system over a certain period in a graphical way and to describe the order relations of the system events. We show that the dynamic graph can be used to analyse the structural properties of the system. In general the model predictive scheduling design problem for SMPL systems can be recast as a mixed integer linear programming (MILP) problem. In order to reduce the number of optimization parameters we introduce a novel reparametrization of the MILP problem. This may lead to a decrease in computational complexity.

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