scholarly journals A goal programming approach for solving the random interval linear programming problem

2017 ◽  
Vol 41 ◽  
pp. 775-786 ◽  
Author(s):  
Ziba ARJMANDZADEH ◽  
Mohammadreza SAFI
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Goal Programming ◽  
Linear Programming Problem ◽  
Programming Approach ◽  
Random Interval ◽  
Interval Linear Programming ◽  
Interval Linear

Construction Method of Constraint Matrices Corresponded by an Optimal Solution

2014 ◽  
Vol 513-517 ◽  
pp. 1617-1620
Author(s):  
Xiao Liu ◽  
Wei Li ◽  
Peng Zhen Liu
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Linear Equations ◽  
Optimal Solution ◽  
Construction Method ◽  
Interval Linear Programming ◽  
Interval Linear

Through deep analysis of the solvability, which is based on interval linear equations and inequalities systems, for a given optimal solution to interval linear programming problem, we propose the construction method of constraint matrices corresponded by the optimal solution in this paper.

scholarly journals Interactive Fuzzy Goal Programming approach in multi-response stratified sample surveys

2016 ◽  
Vol 26 (2) ◽  
pp. 241-258 ◽  
Author(s):  
Neha Gupta ◽  
Irfan Ali ◽  
Abdul Bari
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Goal Programming ◽  
Linear Programming Problem ◽  
Real Data ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Compromise Allocation ◽  
Fuzzy Goal ◽  
Interactive Fuzzy Goal Programming

In this paper, we applied an Interactive Fuzzy Goal Programming (IFGP) approach with linear, exponential and hyperbolic membership functions, which focuses on maximizing the minimum membership values to determine the preferred compromise solution for the multi-response stratified surveys problem, formulated as a Multi- Objective Non Linear Programming Problem (MONLPP), and by linearizing the nonlinear objective functions at their individual optimum solution, the problem is approximated to an Integer Linear Programming Problem (ILPP). A numerical example based on real data is given, and comparison with some existing allocations viz. Cochran?s compromise allocation, Chatterjee?s compromise allocation and Khowaja?s compromise allocation is made to demonstrate the utility of the approach.

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