Authors:
            
                    Hela Kadri
                    
                        
                    
                     and
                
                    Belhassen Zouari
                    
                        
                    
                    
                
        
        
            Affiliation:
            
                    
                        
                    
                    University of Tunis El Manar, Tunisia
                
        
        
        
        
        
             Keyword(s):
            High-level Petri Nets, Pipeline Networks, Dynamic Reliability, Dijkstra’s Algorithm, Multi-objective Optimization.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Application Domains
                    ; 
                        Case Studies
                    ; 
                        Chemical and Petroleum Engineering
                    ; 
                        Conceptual Modeling
                    ; 
                        Formal Methods
                    ; 
                        Health Engineering and Technology Applications
                    ; 
                        Neural Rehabilitation
                    ; 
                        Neurotechnology, Electronics and Informatics
                    ; 
                        Optimization Issues
                    ; 
                        Petri Nets
                    ; 
                        Simulation and Modeling
                    ; 
                        Simulation Tools and Platforms
                    
            
        
        
            
                Abstract: 
                High-level Petri nets are a powerful modelling language appropriate to represent massive, dynamic, and complicated systems like pipeline networks. Finding the optimal path in these networks is not an easy task, especially when we are concerned with multi-objective problems such as in the present study: minimizing path’s length and maximizing valves’ dynamic reliability which depends on time and conditions of use. This work aims, firstly to calculate the dynamic reliability of the valves engaged in the path’s search according to their behavior, and secondly, to transform the multi-objective optimization problem into a shortest path problem through a scalarization method and then to find an optimal path using the Dijkstra’s algorithm developed with a High-level Petri nets. This contribution is applied in the transport of oil but it is potentially applicable in many other areas.