Displaying similar documents to “An approximation algorithm for the total covering problem”

Asymptotic differential approximation ratio: Definitions, motivations and application to some combinatorial problems

Marc Demange, Vangelis Th. Paschos (2010)

RAIRO - Operations Research

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We first motivate and define a notion of asymptotic differential approximation ratio. For this, we introduce a new class of problems called radial problems including in particular the hereditary ones. Next, we validate the definition of the asymptotic differential approximation ratio by proving positive, conditional and negative approximation results for some combinatorial problems. We first derive a differential approximation analysis of a classical greedy algorithm for bin packing,...

Covering with rectangular pieces.

Iacob, Paul, Marinescu, Daniela, Luca, Cristina (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Online LIB problems : heuristics for bin covering and lower bounds for bin packing

Luke Finlay, Prabhu Manyem (2005)

RAIRO - Operations Research - Recherche Opérationnelle

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We consider the NP Hard problems of online Bin Covering and Packing while requiring that larger (or longer, in the one dimensional case) items be placed at the bottom of the bins, below smaller (or shorter) items — we call such a version, the LIB version of problems. Bin sizes can be uniform or variable. We look at computational studies for both the Best Fit and Harmonic Fit algorithms for uniform sized bin covering. The Best Fit heuristic for this version of the problem is introduced...

Online LIB problems: Heuristics for Bin Covering and lower bounds for Bin Packing

Luke Finlay, Prabhu Manyem (2006)

RAIRO - Operations Research

Similarity:

We consider the NP Hard problems of online Bin Covering and Packing while requiring that larger (or longer, in the one dimensional case) items be placed at the bottom of the bins, below smaller (or shorter) items — we call such a version, the version of problems. Bin sizes can be uniform or variable. We look at computational studies for both the Best Fit and Harmonic Fit algorithms for uniform sized bin covering. The Best Fit heuristic for this version of the problem is introduced...