LP models for bin packing and cutting stock problems

From MaRDI portal
Publication:1847189

DOI10.1016/S0377-2217(02)00124-8zbMath1059.90095OpenAlexW2127087935MaRDI QIDQ1847189

José M. Valério de Carvalho

Publication date: 17 November 2002

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(02)00124-8




Related Items

Mathematical models and a heuristic method for the multiperiod one-dimensional cutting stock problemA hybrid heuristic algorithm for the 2D variable-sized bin packing problemAn introduction to stochastic bin packing-based server consolidation with conflictsA single machine scheduling problem with two-dimensional vector packing constraintsA Branch-and-Price Algorithm for the Multiple Knapsack ProblemProcedures for the bin packing problem with precedence constraintsInteger linear programming models for the skiving stock problemBin packing and cutting stock problems: mathematical models and exact algorithmsModels for the two-dimensional two-stage cutting stock problem with multiple stock sizeAccelerating column generation for variable sized bin-packing problemsMathematical programming algorithms for bin packing problems with item fragmentationSkewed general variable neighborhood search for the location routing scheduling problemSolution approaches for the cutting stock problem with setup costIntegrated bin packing and lot-sizing problem considering the configuration-dependent bin packing processBin packing and related problems: general arc-flow formulation with graph compressionExactly solving packing problems with fragmentationA memetic algorithm for the cost-oriented robotic assembly line balancing problemExact algorithms for the bin packing problem with fragile objectsThe skiving stock problem and its relation to hypergraph matchingsPattern-based ILP models for the one-dimensional cutting stock problem with setup costFormulations and theoretical analysis of the one-dimensional multi-period cutting stock problem with setup costSingle workgroup scheduling problem with variable processing personnelCombinatorial Benders Decomposition for the Two-Dimensional Bin Packing ProblemMulti-objective temporal bin packing problem: an application in cloud computingCompact integer linear programming formulations for the temporal bin packing problem with fire-upsAn exact framework for the discrete parallel machine scheduling location problemMathematical models and approximate solution approaches for the stochastic bin packing problemLower and upper bounds for the bin packing problem with fragile objectsA study on load-balanced variants of the bin packing problemA combinatorial flow-based formulation for temporal bin packing problemsNovel formulations and modeling enhancements for the dynamic berth allocation problemModeling Two-Dimensional Guillotine Cutting Problems via Integer ProgrammingSolving the skiving stock problem by a combination of stabilized column generation and the reflect arc-flow modelThe cutting stock problem applied to the hardening process in an automotive spring factoryThe evolution of rectangular bin packing problem -- a review of research topics, applications, and cited papersEnhanced arc-flow formulations to minimize weighted completion time on identical parallel machinesDeriving compact extended formulations via LP-based separation techniquesEnhanced Pseudo-polynomial Formulations for Bin Packing and Cutting Stock ProblemsCombinatorial investigations on the maximum gap for skiving stock instances of the divisible caseThe generalized assortment and best cutting stock length problemsA stabilized branch-and-price-and-cut algorithm for the multiple length cutting stock problemOn LP relaxations for the pattern minimization problemAn exact model for a slitting problem in the steel industryArc flow formulations based on dynamic programming: theoretical foundations and applicationsBPPLIB: a library for bin packing and cutting stock problemsAn extended goal programming model for the multiobjective integrated lot-sizing and cutting stock problemThe proper relaxation and the proper gap of the skiving stock problemCharacterizing IRDP-instances of the skiving stock problem by means of polyhedral theoryIterative aggregation and disaggregation algorithm for pseudo-polynomial network flow models with side constraintsNumerical optimization method for packing regular convex polygonsA comparative study of the arcflow model and the one-cut model for one-dimensional cutting stock problemsDeriving compact extended formulations via LP-based separation techniquesAverage-weight-controlled bin-oriented heuristics for the one-dimensional bin-packing problemCutting stock problems with nondeterministic item lengths: a new approach to server consolidationComparative analysis of pattern-based models for the two-dimensional two-stage guillotine cutting stock problemTwo heuristics for the capacitated multi-period cutting stock problem with pattern setup costAn upper bound of \(\Delta(E) < 3 \slash 2\) for skiving stock instances of the divisible caseCharacterizing the optimality gap and the optimal packings for the bin packing problemA cutting stock problem and its solution in the manufacturing industry of large electric generatorsA combined approach to the solution to the general one-dimensional cutting stock problemRecursive algorithm for the two‐dimensional cutting problem of punched stripsModeling and solving a real-world cutting stock problem in the marble industry via mathematical programming and stochastic diffusion search approachesExact solution techniques for two-dimensional cutting and packingQueue-constrained packing: a vehicle ferry case studyClassification and literature review of integrated lot-sizing and cutting stock problemsAlgorithms for the one-dimensional two-stage cutting stock problemHeuristics for packing semifluidsHeuristics for the one-dimensional cutting stock problem with limited multiple stock lengthsComplementary column generation and bounding approaches for set partitioning formulationsScalable optimal deployment in the cloud of component-based applications using optimization modulo theory, mathematical programming and symmetry breakingA lexicographic pricer for the fractional bin packing problemA New Branch-and-Price-and-Cut Algorithm for One-Dimensional Bin-Packing ProblemsMathematical Models and Search Algorithms for the Capacitated p-Center ProblemHybrid greedy heuristics based on linear programming for the three‐dimensional single bin‐size bin packing problem0-1 reformulations of the multicommodity capacitated network design problemAn effective solution for a real cutting stock problem in manufacturing plastic rollsOne-dimensional relaxations and LP bounds for orthogonal packingThe one-dimensional cutting stock problem with due datesVariable and constraint reduction techniques for the temporal bin packing problem with fire-upsGenerating optimal multi-segment cutting patterns for circular blanks in the manufacturing of electric motorsImproved flow-based formulations for the skiving stock problemA branch-and-price algorithm for the temporal bin packing problemA branch-and-cut-and-price algorithm for one-dimensional stock cutting and two-dimensional two-stage cuttingFriendly bin packing instances without integer round-up propertyGenerating optimal two-section cutting patterns for rectangular blanksOnline Bin Packing with (1,1) and (2,R) BinsThe layout problem of two kinds of graph elements with performance constraints and its optimality conditionsOn compact formulations for integer programs solved by column generation


Uses Software


Cites Work