Journal ArticleDOI
The more-for-less paradox in linear programming
TLDR
In this article, a more for-less paradox of the distribution model is observed in general linear programming and the relation of the solution which resolves the paradox to degeneracy is given.About:
This article is published in European Journal of Operational Research.The article was published on 1987-08-01. It has received 25 citations till now.read more
Citations
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Journal ArticleDOI
On the fixed-charge transportation problem
Veena Adlakha,Krzysztof Kowalski +1 more
TL;DR: In this paper, the authors develop a quick sufficient condition to identify candidate markets and supply points to ship more for less in fixed-charge transportation problems, under the condition that at least the same amount is shipped from each supply point and to each market.
Journal ArticleDOI
More-for-less algorithm for fixed-charge transportation problems
TL;DR: A simple heuristic algorithm is developed to identify the demand destinations and the supply points to ship MFL in FCTPs and can serve as an effective tool for managers for solving the more-for-less paradox for large distribution problems.
Journal ArticleDOI
A quick sufficient solution to the more-for-less paradox in the transportation problem
Veena Adlakha,Krzysztof Kowalski +1 more
TL;DR: A sufficient condition to identify candidate markets and supply points is developed and can serve as an effective tool for managers in solving the more-for-less paradox for large transportation problems, by providing the user with an insight into the problem.
Journal ArticleDOI
Perturbation analysis of general LP models: A unified approach to sensitivity, parametric, tolerance, and more-for-less analysis
Hossein Arsham,M. Oblak +1 more
TL;DR: In this article, an alternative approach to postoptimality analysis for general linear programming (LP) problems is presented, which provides a simple framework for the analysis of any single or simultaneous change of right-hand side (RHS) or cost coefficient terms for which the current basis remains optimal by solving the nominal LP problem with perturbed RHS terms.
Journal ArticleDOI
A heuristic method for 'more-for-less' in distribution-related problems
Veena Adlakha,Krzysztof Kowalski +1 more
TL;DR: A heuristic algorithm for shipping more for less in distribution-related problems is proposed, which builds on the optimal solution of a transportation problem and can serve as an effective tool for managers and students alike for extending the solution to search for more-for-less opportunities in distribution problems.
References
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Journal ArticleDOI
The Transportation Paradox.
TL;DR: A paradox arises when a transportation problem admits of a total cost solution which is lower than the optimum and is attainable by shipping larger quantities if goods over the same routes that were previously designated as optimal.
Book ChapterDOI
More on the More for Less Paradox in the Distribution Model
TL;DR: The more for less paradox in the distribution model was introduced by Charnes and Klingman as discussed by the authors, who showed that given an optimal solution to a distribution problem, it is possible to ship more total goods for less total cost even if we ship at least the same amount from each origin and to each destination and all shipping costs are non-negative.
Journal ArticleDOI
Degeneracy and the More-For-Less Paradox
TL;DR: In this article, it was shown that the more-for-less (nothing) paradox is true in the distribution model of linear programming, and that a spatial separation of markets would necessarily occur if shipments were increased to the point where the "more-forless" paradox just disappears.