scholarly journals Review on the Research for Separated Continuous Linear Programming: With Applications on Service Operations

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiaoqing Wang
Keyword(s):  
Linear Programming ◽  
Optimization Model ◽  
Duality Theory ◽  
Dynamic Control ◽  
Service Operations ◽  
Continuous Linear ◽  
Continuous Linear Programming ◽  
Fluid Network ◽  
Solution Methods

We give a review on the research for a class of optimization model—separated continuous linear programming (SCLP). SCLP takes several similar forms and can be used to find the dynamic control of a multiclass fluid network. We review the duality theory and solution methods for it. We also present application examples of SCLP on service operations.

scholarly journals An Illustration of the Duality Technique in Semi-Continuous Linear Programming

1980 ◽  
Vol 11 (1) ◽  
pp. 17-28 ◽  
Author(s):  
F. De Vylder
Keyword(s):  
Linear Programming ◽  
Finite Interval ◽  
Claim Size ◽  
Continuous Linear ◽  
Parametric Solution ◽  
Continuous Linear Programming ◽  
Claim Size Distribution ◽  
Stop Loss ◽  
First Moment ◽  
Duality Technique

We gıve a complete parametrıc solutıon of the followıng problem: Fınd a claım sıze dıstrıbutıon F on the fınıte ınterval [ο, ω], maxımizıng the stop-loss premıum correspondıng to a gıven excess e, under the constraınts that the fırst moment of F be at most equal to μ and the second at most equal to ν The method used ıs the dualıty technıque ın semı-contınuous lınear programmıng descrıbed in De Vylder (1978) Thıs technıque ıs summarızed, wıthout proofs, ın the fırst part of the paper.

Ranking on Arbitrary Graphs: Rematch via Continuous Linear Programming

2018 ◽  
Vol 47 (4) ◽  
pp. 1529-1546 ◽  
Author(s):  
T-H. Hubert Chan ◽  
Fei Chen ◽  
Xiaowei Wu ◽  
Zhichao Zhao
Keyword(s):  
Linear Programming ◽  
Continuous Linear ◽  
Continuous Linear Programming ◽  
Arbitrary Graphs
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