Algorithms for Multi-Objective Nonlinear Programming Problems: An Overview

1989 ◽  
pp. 434-443 ◽  
Author(s):  
Subhash C. Narula ◽  
H. Roland Weistroffer
Keyword(s):  
Nonlinear Programming ◽  
Multi Objective

Study on multi-objective nonlinear programming problem with rough parameters

2021 ◽  
pp. 1-14
Author(s):  
Harish Garg ◽  
Sultan S. Alodhaibi ◽  
Hamiden Abd El-Wahed Khalifa
Keyword(s):  
Nonlinear Programming ◽  
Programming Problem ◽  
Rough Set Theory ◽  
Real Life ◽  
Boundary Region ◽  
Efficient Solutions ◽  
Weighted Averaging ◽  
Nonlinear Programming Problem ◽  
Multi Objective ◽  
Constraint Set

Rough set theory, introduced by Pawlak in 1981, is one of the important theories to express the vagueness not by means of membership but employing a boundary region of a set, i.e., an object is approximately determined based on some knowledge. In our real-life, there exists several parameters which impact simultaneously on each other and hence dealing with such different parameters and their conflictness create a multi-objective nonlinear programming problem (MONLPP). The objective of the paper is to deal with a MONLPP with rough parameters in the constraint set. The considered MONLPP with rough parameters are converted into the two-single objective problems namely, lower and upper approximate problems by using the weighted averaging and the ɛ- constraints methods and hence discussed their efficient solutions. The Karush-Kuhn-Tucker’s optimality conditions are applied to solve these two lower and upper approximate problems. In addition, the rough weights and the rough parameter ɛ are determined by the lower and upper the approximations corresponding each efficient solution. Finally, two numerical examples are considered to demonstrate the stated approach and discuss their advantages over the existing ones.

scholarly journals Evaluating decision-making units under uncertainty using fuzzy multi-objective nonlinear programming

2016 ◽  
Vol 55 (1) ◽  
pp. 1-15
Author(s):  
Madjid Langroudi Zerafat Angiz ◽  
Mohd Kamal Mohd Nawawi ◽  
Ruzelan Khalid ◽  
Adli Mustafa ◽  
Ali Emrouznejad ◽  
...  
Keyword(s):  
Decision Making ◽  
Nonlinear Programming ◽  
Multi Objective ◽  
Decision Making Units

Research on the Optimized Configuration of Water Resource in Shendong Mining Area

2014 ◽  
Vol 1073-1076 ◽  
pp. 1669-1672
Author(s):  
Bao Feng Zhao
Keyword(s):  
Nonlinear Programming ◽  
Water Resource ◽  
Programming Model ◽  
Water Shortage ◽  
Mining Area ◽  
Water Diversion ◽  
Resource Exploitation ◽  
Multi Objective ◽  
Nonlinear Programming Model ◽  
Mining Water

In order to improve water resource utilization and protect ecological environment in Shendong mining area, make the coal and water resource developed healthy. The multi-objective nonlinear programming model of water resources in mining area was established based on LINGO platform, the optimized configuration of water resource was researched. According to the result of model calculation, based on the optimized configuration of water resource and coal mining in 2012, 2015 and 2020, there are different levels of water shortage. The total water deficit is-526.56、-1189.37 and-1642.30 104m3. According to the actual situation and calculation result, the proposal is put forward in improving the utilization ratio of mining water, water diversion from external and flood utilization. The optimized configuration of water resource in Shendong mining area based on multi-objective nonlinear programming is scientifically, rationally, and plays a guiding role in harmonious development between coal resource exploitation and utilization of water resource.

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