Limits to the scope of applicability of extended formulations for LP models of combinatorial optimization problems: A summary

نویسندگان

  • Moustapha Diaby
  • Mark H. Karwan
چکیده

Abstract: We show that new definitions of the notion of “projection” on which some of the recent “extended formulations” works (such as Kaibel (2011); Fiorini et al. (2011; 2012); Kaibel and Walter (2013); Kaibel and Weltge (2013) for example) have been based can cause those works to over-reach in their conclusions in relating polytopes to one another when the sets of the descriptive variables for those polytopes are disjoint.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Algorithm for Determining Ultimate Pit Limits Based on Network Optimization

One of the main concerns of the mining industry is to determine ultimate pit limits. Final pit is a collection of blocks, which can be removed with maximum profit while following restrictions on the slope of the mine’s walls. The size, location and final shape of an open-pit are very important in designing the location of waste dumps, stockpiles, processing plants, access roads and other surfac...

متن کامل

Deriving compact extended formulations via LP-based separation techniques

The best formulations for some combinatorial optimization problems are integer linear programming models with an exponential number of rows and/or columns, which are solved incrementally by generating missing rows and columns only when needed. As an alternative to row generation, some exponential formulations can be rewritten in a compact extended form, which have only a polynomial number of co...

متن کامل

An Introduction to a New Criterion Proposed for Stopping GA Optimization Process of a Laminated Composite Plate

Several traditional stopping criteria in Genetic Algorithms (GAs) are applied to the optimization process of a typical laminated composite plate. The results show that neither of the criteria of the type of statistical parameters, nor those of the kinds of theoretical models performs satisfactorily in determining the interruption point for the GA process. Here, considering the configuration of ...

متن کامل

Optimization of profit and customer satisfaction in combinatorial production and purchase model by genetic algorithm

Optimization of inventory costs is the most important goal in industries. But in many models, the constraints are considered simple and relaxed. Some actual constraints are to consider the combinatorial production and purchase models in multi-products environment. The purpose of this article is to improve the efficiency of inventory management and find the economic order quantity and economic p...

متن کامل

CS 2429 - Foundations of Communication Complexity

Linear programming is a very powerful tool for attacking hard combinatorial optimization problems. Methods such as the ellipsoid algorithm have shown that linear programming is solvable in polynomial time. Linear programming also plays a central role in the design of approximation algorithms. In fact, it is known that linear programming is P-complete, and this implies that if NP = P then for ev...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • CoRR

دوره abs/1403.0529  شماره 

صفحات  -

تاریخ انتشار 2014