scholarly journals 0-1 Parametric Mixed Integer Programming with Multiple Parameters for Objective Function Coefficients

1986 ◽  
Vol 22 (11) ◽  
pp. 1169-1174
Author(s):  
Akihiko IMAMURA ◽  
Naonori NISHIDA
Keyword(s):  
Integer Programming ◽  
Objective Function ◽  
Mixed Integer Programming ◽  
Mixed Integer ◽  
Multiple Parameters

Solving Siphons with the Minimal Cardinality for Deadlock Control

2013 ◽  
pp. 388-403
Author(s):  
Shaoyong Li
Keyword(s):  
Integer Programming ◽  
Objective Function ◽  
Mixed Integer Programming ◽  
Mixed Integer ◽  
Minimal Cardinality

By modifying the objective function and adding new constraints to a Mixed Integer Programming (MIP) method proposed by Park and Reveliotis, this chapter presents a Revised MIP (RMIP) method to directly solve siphons, called smart siphons, with the minimal cardinality as well as the minimal number of resource places. Accordingly, a proper Control Place (CP) is added for each smart siphon in order to achieve the desired control. Both efficiency and practicality of this method are proved through a theoretical proof and several examples.

Non-blocking Supervisory Design Using Mixed Integer Programming

2009 ◽  
Vol 35 (2) ◽  
pp. 180-185
Author(s):  
Mi ZHAO ◽  
Zhi-Wu LI ◽  
Na WEI
Keyword(s):  
Integer Programming ◽  
Mixed Integer Programming ◽  
Mixed Integer
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