Lagrange Problem in Fuzzy Reversed Posynomial Geometric Programming

Author(s):  
Bing-yuan Cao
2017 ◽  
Vol E100.C (4) ◽  
pp. 407-415
Author(s):  
Minyoung YOON ◽  
Byungjoon KIM ◽  
Jintae KIM ◽  
Sangwook NAM

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Denghao Pang ◽  
Wei Jiang ◽  
Azmat Ullah Khan Niazi ◽  
Jiale Sheng

AbstractIn this paper, we mainly investigate the existence, continuous dependence, and the optimal control for nonlocal fractional differential evolution equations of order (1,2) in Banach spaces. We define a competent definition of a mild solution. On this basis, we verify the well-posedness of the mild solution. Meanwhile, with a construction of Lagrange problem, we elaborate the existence of optimal pairs of the fractional evolution systems. The main tools are the fractional calculus, cosine family, multivalued analysis, measure of noncompactness method, and fixed point theorem. Finally, an example is propounded to illustrate the validity of our main results.


2013 ◽  
Vol 5 (3) ◽  
pp. 373-380
Author(s):  
Zeinab Kheiri ◽  
Faezeh Zahmatkesh ◽  
Bing-Yuan Cao

1980 ◽  
Vol 102 (3) ◽  
pp. 154-159 ◽  
Author(s):  
A. Lavi

A complex power system may be modeled by a system of inequalities representing the constraints imposed by the physical laws: heat transfer, energy balance, cycle efficiency and so forth. The nature of the resulting mathematical model is such that the terms contain complex expressions involving the design and operating variables of the process. With the addition of an objective function involving the cost of major system components, a multivariable nonlinear programming problem can be formulated. Seldom does the model lend itself to analytical treatment. This paper is concerned with a specific formulation and solution of nonlinear programming problems which arise in the design of ocean thermal energy conversion (OTEC) power plants. The technique used is geometric programming, GP. It is shown that GP serves as an excellent tool for system analysis because it provides sensitivity information essential to the designer.


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