(Peer-Reviewed) Flexibility analysis for continuous ibuprofen manufacturing processes
	
		Wenhui Yang 杨雯惠 ¹, Haoyu Yin ², Zhihong Yuan 袁志宏 ¹, Bingzhen Chen 陈丙珍 ³
			
				¹ State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
中国 北京 清华大学化学工程系 化学工程联合国家重点实验室
² School of Material Science and Engineering, Tsinghua University, Beijing 100084, China
中国 北京 清华大学材料学院
³ Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
中国 北京 清华大学化学工程系
			
			
		
		
			
		
		
	 
	
	
	Abstract
Continuous ibuprofen (a widespread used analgesic drug) manufacturing is full of superiorities and is a fertile field both in industry and academia since it can not only effectively treat rheumatic and other chronic and painful diseases, but also shows great potential in dental diseases. 
As one of central elements of operability analysis, flexibility analysis is in charge of the quantitative assessment of the capability to guarantee the feasible operation in face of variations on uncertain parameters. In this paper, we focus on the flexibility index calculation for the continuous ibuprofen manufacturing process. We update existing state-of-the-art formulations, which traditionally lead to the max-max-max optimization problem, to approach the calculation of the flexibility index with a favorable manner. Advantages regarding the size of the mathematical model and the computational CPU time of the modified method are examined by four cases. 
In addition to identifying the flexibility index without any consideration of control variables, we also investigate the effects of different combinations of control variables on the flexibility property to reveal the benefits from taking recourse actions into account. 
Results from systematic investigations are expected to provide a solid basis for the further control system design and optimal operation of continuous ibuprofen manufacturing.
	
	
	
	
	
	
		    
		    
    			
		    
    			
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