Timed Petri nets can be used to model and analyse scheduling problems. To support the modelling of scheduling problems, we provide a method to map tasks, resources and constraints onto a timed Petri net. By mapping scheduling problems onto Petri nets, we are able to use standard Petri net theory. In this paper we will show that we can use Petri net based tools and techniques to find conflicting and redundant precedences, upper- and lowerbounds for the makespan, etc. This is illustrated by a Petri net based analysis of the notorious 10 × 10 problem due to Fisher & Thompson (1963)
AbstractThe objective of this work is to give time Petri nets a partial order semantics, akin to the...
System analysis is often needed with respect to both qualitative and quantitative aspects. In the la...
Abstract. A resource scheduling algorithm called XMin-min is proposed in this paper. In the XMin-min...
Timed Petri nets can be used to model and analyse scheduling problems. To support the modelling of s...
This thesis introduces a new Petri net formulation for the general scheduling problem. The first par...
This paper proposes a scheme for automatic generation of mixed-integer programming problems for sche...
The production scheduling problem allocates limited resources to tasks over time and determines the ...
Abstract. We present a methodology of o-line analysis of real-time systems, composed of periodic, sy...
331 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.This interdisciplinary resear...
A new class of nets, called S-nets, is introduced for the performance analysis of scheduling algorit...
A new class of nets, called S-nets, is introduced for the performance analysis of scheduling algorit...
International audienceThe most widely used approach for verifying the schedulability of a real-time ...
ABSTRACT. In order to analyze whether timing requirements of a real-time application are met, we pro...
A queuing system, is a dynamical system whose state evolves in time by the occurrence of events at p...
Scheduling a manufacturing system is usually an NP-hard problem. This means that only heuristic algo...
AbstractThe objective of this work is to give time Petri nets a partial order semantics, akin to the...
System analysis is often needed with respect to both qualitative and quantitative aspects. In the la...
Abstract. A resource scheduling algorithm called XMin-min is proposed in this paper. In the XMin-min...
Timed Petri nets can be used to model and analyse scheduling problems. To support the modelling of s...
This thesis introduces a new Petri net formulation for the general scheduling problem. The first par...
This paper proposes a scheme for automatic generation of mixed-integer programming problems for sche...
The production scheduling problem allocates limited resources to tasks over time and determines the ...
Abstract. We present a methodology of o-line analysis of real-time systems, composed of periodic, sy...
331 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.This interdisciplinary resear...
A new class of nets, called S-nets, is introduced for the performance analysis of scheduling algorit...
A new class of nets, called S-nets, is introduced for the performance analysis of scheduling algorit...
International audienceThe most widely used approach for verifying the schedulability of a real-time ...
ABSTRACT. In order to analyze whether timing requirements of a real-time application are met, we pro...
A queuing system, is a dynamical system whose state evolves in time by the occurrence of events at p...
Scheduling a manufacturing system is usually an NP-hard problem. This means that only heuristic algo...
AbstractThe objective of this work is to give time Petri nets a partial order semantics, akin to the...
System analysis is often needed with respect to both qualitative and quantitative aspects. In the la...
Abstract. A resource scheduling algorithm called XMin-min is proposed in this paper. In the XMin-min...