A parametric approach to integer linear fractional programming: Newton’s and Hybrid-Newton methods for an optimal road maintenance problem

2021 ◽  
Vol 289 (3) ◽  
pp. 1030-1039
Author(s):  
Chong Hyun Park ◽  
Heejong Lim
Keyword(s):  
Fractional Programming ◽  
Road Maintenance ◽  
Newton Methods ◽  
Parametric Approach ◽  
Linear Fractional Programming ◽  
Maintenance Problem

Iterative Parametric Approach for Quadratically Constrained Bi-Level Multiobjective Quadratic Fractional Programming

2020 ◽  
Vol 17 (11) ◽  
pp. 5046-5051
Author(s):  
Vandana Goyal ◽  
Namrata Rani ◽  
Deepak Gupta
Keyword(s):  
Fractional Programming ◽  
Optimization Problem ◽  
Programming Model ◽  
Pareto Optimal Solutions ◽  
Parametric Approach ◽  
Second Stage ◽  
Quadratic Fractional Programming ◽  
Upper Level ◽  
Quadratically Constrained ◽  
Constraint Method

The paper proposed an iterative parametric approach procedure for solving Bi-level Multiobjective Quadratic Fractional Programming model. The Model is divided into two levels-upper and lower. In the first stage of the approach, a set of pareto optimal solutions of upper Level is obtained by converting the problem into equivalent single non-fractional parametric objective optimization problem by using parametric vector and ε-constraint method. Then for the second stage, the solution of upper level is followed by the lower level decision maker while finding solution with the proposed algorithm to obtain the best preferred solution. A numerical example is solved in the last to validate the feasibility of the approach.

An integrated model to solve the winter asset and road maintenance problem

2010 ◽  
Vol 42 (9) ◽  
pp. 675-689 ◽  
Author(s):  
Wooseung Jang ◽  
James S. Noble ◽  
Thomas Hutsel
Keyword(s):  
Integrated Model ◽  
Road Maintenance ◽  
Maintenance Problem
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