A Bibliography on the Applications of Mathematical Programming Multiple-Objective Methods

1990 ◽  
Vol 41 (8) ◽  
pp. 669 ◽  
Author(s):  
D. J. White
Keyword(s):  
Mathematical Programming ◽  
Multiple Objective ◽  
Applications Of Mathematical Programming

scholarly journals Fresa: A Plant Propagation Algorithm for Black-Box Single and Multiple Objective Optimization

2021 ◽  
Vol 2 (4) ◽  
Keyword(s):  
Mathematical Programming ◽  
Objective Function ◽  
Optimization Problems ◽  
Population Based ◽  
Black Box ◽  
Multiple Objective ◽  
Multiple Objective Optimization ◽  
Plant Propagation ◽  
Propagation Algorithm ◽  
Multiple Dispatch

Fresa implements a nature inspired plant propagation algorithm for the solution of single and multiple objective optimization problems. The method is population based and evolutionary. Treating the objective function as a black box, the implementation is able to solve problems exhibiting behaviour that is challenging for mathematical programming methods. Fresa is easily adapted to new problems which may benefit from bespoke representations of solutions by taking advantage of the dynamic typing and multiple dispatch capabilities of the Julia language. Further, the support for threads in Julia enables an efficient implementation on multi-core computers.

scholarly journals Applications of mathematical programming in graceful labeling of graphs

2004 ◽  
Vol 2004 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Kourosh Eshghi ◽  
Parham Azimi
Keyword(s):  
Mathematical Programming ◽  
Graph Labeling ◽  
Computational Results ◽  
Programming Technique ◽  
New Approach ◽  
Graceful Labeling ◽  
Applications Of Mathematical Programming ◽  
The Subject ◽  
Mathematical Programming Technique ◽  
Special Classes

Graceful labeling is one of the best known labeling methods of graphs. Despite the large number of papers published on the subject of graph labeling, there are few particular techniques to be used by researchers to gracefully label graphs. In this paper, first a new approach based on the mathematical programming technique is presented to model the graceful labeling problem. Then a “branching method” is developed to solve the problem for special classes of graphs. Computational results show the efficiency of the proposed algorithm for different classes of graphs. One of the interesting results of our model is in the class of trees. The largest tree known to be graceful has at most 27 vertices but our model can easily solve the graceful labeling for trees with 40 vertices.

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