Parametric Integer Programming

1975 ◽  
Author(s):  
Robert M. Nauss
Keyword(s):  
Integer Programming ◽  
Parametric Integer Programming

TWO BI-OBJECTIVE OPTIMIZATION MODELS FOR COMPETITIVE LOCATION PROBLEMS

2006 ◽  
Vol 05 (03) ◽  
pp. 531-543 ◽  
Author(s):  
FENGMEI YANG ◽  
GUOWEI HUA ◽  
HIROSHI INOUE ◽  
JIANMING SHI
Keyword(s):  
Integer Programming ◽  
Programming Problem ◽  
Efficient Solutions ◽  
Integer Program ◽  
Location Problems ◽  
Optimization Models ◽  
Competitive Location ◽  
Integer Programming Problem ◽  
Single Objective ◽  
Parametric Integer Programming

This paper deals with two bi-objective models arising from competitive location problems. The first model simultaneously intends to maximize market share and to minimize cost. The second one aims to maximize both profit and the profit margin. We study some of the related properties of the models, examine relations between the models and a single objective parametric integer programming problem, and then show how both bi-objective location problems can be solved through the use of a single objective parametric integer program. Based on this, we propose two methods of obtaining a set of efficient solutions to the problems of fundamental approach. Finally, a numerical example is presented to illustrate the solution techniques.

Solution of a parametric integer programming problem

Cybernetics ◽  
1983 ◽  
Vol 18 (3) ◽  
pp. 360-367 ◽  
Author(s):  
I. V. Sergienko ◽  
L. N. Kozeratskaya
Keyword(s):  
Integer Programming ◽  
Programming Problem ◽  
Integer Programming Problem ◽  
Parametric Integer Programming

scholarly journals Parametric Integer Programming in Fixed Dimension

2008 ◽  
Vol 33 (4) ◽  
pp. 839-850 ◽  
Author(s):  
Friedrich Eisenbrand ◽  
Gennady Shmonin
Keyword(s):  
Integer Programming ◽  
Fixed Dimension ◽  
Parametric Integer Programming
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