Title : 
The modeling and performance analysis of the general production scheduling problem
         
        
            Author : 
Zhang, Zuo ; Han, Zeng-jin ; Wu, Qiu-feng
         
        
            Author_Institution : 
Dept. of Autom., Tsinghua Univ., Beijing, China
         
        
        
        
        
        
            Abstract : 
This paper develops a modular modeling method for the general production scheduling problem (GPSP), which is of obvious hybrid dynamics. The method consists of 3 parts, i.e. Petri net (PN) describing the real-time process layer of GPSP, a scheduling-state-place- and inhibitory-arc-included Petri net (SIPN) describing the interface-transfer layer, and Grafcet model describing scheduling decision-making layer. This paper proved that the decidability of a GPSP is equivalent with the liveness of its SPN and IPN model
         
        
            Keywords : 
Petri nets; decidability; production control; Grafcet model; SIPN; general production scheduling problem; hybrid dynamics; inhibitory-arc-included Petri net; interface-transfer layer; modular modeling; performance analysis; real-time process; scheduling decision-making layer; scheduling-state-place-included Petri net; Automation; Batch production systems; Continuous production; Control systems; Decision making; Dynamic scheduling; Performance analysis; Processor scheduling; Real time systems; Resource management;
         
        
        
        
            Conference_Titel : 
Systems, Man, and Cybernetics, 1996., IEEE International Conference on
         
        
            Conference_Location : 
Beijing
         
        
        
            Print_ISBN : 
0-7803-3280-6
         
        
        
            DOI : 
10.1109/ICSMC.1996.571159