Title : 
Research the bound of the option value of MIP by Lagrangian relaxation
         
        
        
            Author_Institution : 
Dept. of Math., Xianning Univ., Xianning, China
         
        
        
        
        
        
            Abstract : 
According to study the a Maximal Lifetime with Constrained Energy problem (MLCE)in a sensors net, we discuss the bound of the option value of mix integer program (MIP). Since the Maximun of the MIP is NP complete problem, so the exact solution can not be obtained, but the bound of the option value is exist. This paper use Lagrangian relaxation method to derive theoretical upper bound on the optimal value of the MIP problem.
         
        
            Keywords : 
communication complexity; integer programming; relaxation theory; wireless sensor networks; Lagrangian relaxation method; NP complete problem; constrained energy problem; maximal lifetime; mix integer program; option value; sensors net; Algorithm design and analysis; Complexity theory; Monitoring; Sensors; Upper bound; Wireless communication; Wireless sensor networks; Lagrangian relaxation; MIP; bound; option value; upper;
         
        
        
        
            Conference_Titel : 
Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
         
        
            Conference_Location : 
Deng Leng
         
        
            Print_ISBN : 
978-1-4577-0535-9
         
        
        
            DOI : 
10.1109/AIMSEC.2011.6009912