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Facets and algorithms for capacitated lot sizing

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Integer and Combinatorial Optimization
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Fixed‐cost transportation problems
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An approximate solution method for the fixed charge problem
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Multi‐product production scheduling via extreme point properties of linear programming
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An approximative algorithm for the fixed charge problem
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The fixed charge problem
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LP-Based Combinatorial Problem Solving
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On the facial structure of set packing polyhedra
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Properties of vertex packing and independence system polyhedra
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Lot-size models with backlogging: Strong reformulations and cutting planes
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Facets of the linear ordering polytope
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On the symmetric travelling salesman problem I: Inequalities
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On the symmetric travelling salesman problem II: Lifting theorems and facets
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Some facets of the simple plant location polytope
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Solving matching problems with linear programming
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Valid inequalities and facets of the capacitated plant location problem
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Lp-based combinatorial problem solving
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The ellipsoid method and its consequences in combinatorial optimization
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LP extreme points and cuts for the fixed-charge network design problem
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On the symmetric travelling salesman problem: A computational study
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Uncapacitated lot-sizing: The convex hull of solutions
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On the facial structure of scheduling polyhedra
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Edmonds polytopes and a hierarchy of combinatorial problems
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A class of facet producing graphs for vertex packing polyhedra
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On certain polytopes associated with graphs
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Optimization of a 532-city symmetric traveling salesman problem by branch and cut
inferredcites →https://doi.org/10.1016/0167-6377(88)90076-4openalex-snapshot
Valid inequalities and separation for capacitated economic lot sizing
inferredcites →https://doi.org/10.1016/0167-6377(90)90031-yopenalex-snapshot
Optimization of a 532-city symmetric traveling salesman problem by branch and cut
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A heuristic solution procedure for the multi‐item, single‐level, limited capacity, lot‐sizing problem
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A capacity constrained single-facility dynamic lot-size model
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Worst case performance for lot sizing heuristics
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Combinatorial optimization: Annotated bibliographies.
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Covering, Packing and Knapsack Problems
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Decision Systems for Inventory Management and Production Planning
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Heuristic Procedures for the Single Operation, Multi-Item Loading Problem
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The Dynamic Lot-Sizing Problem for Multiple Items Under Limited Capacity
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Multi Item Single Level Capacitated Dynamic Lotsizing Heuristics: A Computational Comparison (Part I: Static Case)
inferredcites →https://doi.org/10.1080/07408178608975339openalex-snapshot
Multi Item Single Level Capacitated Dynamic Lotsizing Heuristics: A Computational Comparison (Part II: Rolling Horizon)
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Polyhedral Combinatorics
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On Linear Characterizations of Combinatorial Optimization Problems
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Set Partitioning: A survey
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Der Saccus endolymphaticus bei Entzündungsprozessen
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Some Generalizations of an Inventory Planning Horizon Theorem
inferredcites →https://doi.org/10.1287/mnsc.1040.0262openalex-snapshot
Dynamic Version of the Economic Lot Size Model
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Optimal Programming of Lot Sizes, Inventory and Labor Allocations
inferredcites →https://doi.org/10.1287/mnsc.13.1.105openalex-snapshot
A Deterministic Multi-Period Production Scheduling Model with Backlogging
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Extensions of the Planning Horizon Theorem in the Dynamic Lot Size Model
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A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System—A Network Approach
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A Branch-and-Bound Algorithm for Multi-Level Fixed-Charge Problems
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Deterministic Production Planning with Concave Costs and Capacity Constraints
inferredcites →https://doi.org/10.1287/mnsc.18.11.721openalex-snapshot
Erratum: Deterministic Production Planning with Concave Costs and Capacity Constraints
inferredcites →https://doi.org/10.1287/mnsc.19.11.1295openalex-snapshot
A Class of Deterministic Production Planning Problems
inferredcites →https://doi.org/10.1287/mnsc.20.3.313openalex-snapshot
Bounded Production and Inventory Models with Piecewise Concave Costs
inferredcites →https://doi.org/10.1287/mnsc.21.10.1086openalex-snapshot
Multi-Item Lot Size Scheduling by Heuristic Part I: With Fixed Resources
inferredcites →https://doi.org/10.1287/mnsc.22.5.587openalex-snapshot
A Heuristic Adjacent Extreme Point Algorithm for the Fixed Charge Problem
inferredcites →https://doi.org/10.1287/mnsc.24.16.1710openalex-snapshot
An Algorithm for the Dynamic Lot-Size Problem with Time-Varying Production Capacity Constraints
inferredcites →https://doi.org/10.1287/mnsc.26.5.495openalex-snapshot
Solving Large-Scale Symmetric Travelling Salesman Problems to Optimality
inferredcites →https://doi.org/10.1287/mnsc.26.7.669openalex-snapshot
Deterministic Production Planning: Algorithms and Complexity
inferredcites →https://doi.org/10.1287/mnsc.28.10.1174openalex-snapshot
Computational Complexity of the Capacitated Lot Size Problem
inferredcites →https://doi.org/10.1287/mnsc.28.3.260openalex-snapshot
Using Lagrangean Techniques to Solve Hierarchical Production Planning Problems
inferredcites →https://doi.org/10.1287/mnsc.30.10.1255openalex-snapshot
Strong Formulations for Multi-Item Capacitated Lot Sizing
inferredcites →https://doi.org/10.1287/mnsc.30.9.1121openalex-snapshot
Approximation Methods for the Uncapacitated Dynamic Lot Size Problem
inferredcites →https://doi.org/10.1287/mnsc.31.5.634openalex-snapshot
Note—Performance Bounds for Lot Sizing Heuristics
inferredcites →https://doi.org/10.1287/mnsc.32.3.350openalex-snapshot
The Multi-Item Capacitated Lot Size Problem: Error Bounds of Manne's Formulations
inferredcites →https://doi.org/10.1287/mnsc.4.2.115openalex-snapshot
Programming of Economic Lot Sizes
inferredcites →https://doi.org/10.1287/mnsc.5.1.89openalex-snapshot
Dynamic Version of the Economic Lot Size Model
inferredcites →https://doi.org/10.1287/mnsc.9.2.229openalex-snapshot
Simulation Tests of Lot Size Programming
inferredcites →https://doi.org/10.1287/moor.2.1.15openalex-snapshot
Critical Cutsets of Graphs and Canonical Facets of Set-Packing Polytopes
inferredcites →https://doi.org/10.1287/moor.23.4.1022openalex-snapshot
Erratum: Critical Cutsets of Graphs and Canonical Facets of Set Packing Polytopes (Mathematics of Operations Research, Vol. 2, 1977, 15–19)
inferredcites →https://doi.org/10.1287/moor.7.1.67openalex-snapshot
Odd Minimum Cut-Sets and b -Matchings
inferredcites →https://doi.org/10.1287/moor.8.4.579openalex-snapshot
On the Uncapacitated Plant Location Problem. I: Valid Inequalities and Facets
inferredcites →https://doi.org/10.1287/moor.8.4.590openalex-snapshot
On the Uncapacitated Plant Location Problem. II: Facets and Lifting Theorems
inferredcites →https://doi.org/10.1287/opre.16.2.268openalex-snapshot
Solving the Fixed Charge Problem by Ranking the Extreme Points
inferredcites →https://doi.org/10.1287/opre.17.2.262openalex-snapshot
Minimum Concave-Cost Solution of Leontief Substitution Models of Multi-Facility Inventory Systems
inferredcites →https://doi.org/10.1287/opre.19.4.946openalex-snapshot
An Efficient Algorithm for Multi-Item Scheduling
inferredcites →https://doi.org/10.1287/opre.19.6.1529openalex-snapshot
Technical Note—Exact Solution of the Fixed-Charge Transportation Problem
inferredcites →https://doi.org/10.1287/opre.20.4.860openalex-snapshot
A Decomposition Algorithm for Arborescence Inventory Systems
inferredcites →https://doi.org/10.1287/opre.23.2.299openalex-snapshot
A Lower Bounding Structure for Lot-Size Scheduling Problems
inferredcites →https://doi.org/10.1287/opre.31.5.803openalex-snapshot
Solving Large-Scale Zero-One Linear Programming Problems
inferredcites →https://doi.org/10.1287/opre.32.6.1195openalex-snapshot
A Cutting Plane Algorithm for the Linear Ordering Problem
inferredcites →https://doi.org/10.1287/opre.33.4.803openalex-snapshot
Solving 0-1 Integer Programming Problems Arising from Large Scale Planning Models
inferredcites →https://doi.org/10.1287/opre.33.4.842openalex-snapshot
Valid Linear Inequalities for Fixed Charge Problems
inferredcites →https://doi.org/10.1287/opre.34.1.63openalex-snapshot
Approximation Formulations for the Single-Product Capacitated Lot Size Problem
inferredcites →https://doi.org/10.1287/opre.35.6.832openalex-snapshot
Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition
inferredcites →https://doi.org/10.2307/2583737openalex-snapshot
Integer and Combinatorial Optimization
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Decision Systems for Inventory Management and Production Planning
inferredcites →https://doi.org/10.6028/jres.069b.013openalex-snapshot
Maximum matching and a polyhedron with 0,1-vertices

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Risk-Averse Two-Stage Programming for Assembly Line Design Considering Dynamic Lot Sizes
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A Novel Exact Algorithm for Economic Lot-Sizing with Piecewise Linear Production Costs
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Synchronized Production-Distribution Planning in the Pulp and Paper Industry
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Mathematical Programming Models and Formulations for Deterministic Production Planning Problems
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Algorithms and extended formulations for one and two facility network design
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Economic Lot-Sizing Problem
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New Valid Inequalities for a Multi-echelon Multi-item Lot-Sizing Problem with Returns and Lost Sales
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Überblick über anwendungsbezogene Veröffentlichungen
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A Joint Optimization of ALBP and Lot-Sizing Under Demand Uncertainty
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Valid inequalities and facets of the capacitated plant location problem
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Dynamic knapsack sets and capacitated lot-sizing
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Models and algorithms for decomposition problems
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A joint chance-constrained programming approach for the single-item capacitated lot-sizing problem with stochastic demand
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A review of tactical planning models
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Two Echelon Supply Chain Integrated Inventory Model for Similar Products: A Case Study
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Valid inequalities and separation for mixed 0–1 constraints with variable upper bounds
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Restrictive aggregation of items in multi-stage production systems
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Efficient post-optimization analysis procedure for the dynamic lot-sizing problem
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Partial objective inequalities for the multi-item capacitated lot-sizing problem
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Polyhedral analysis for the two-item uncapacitated lot-sizing problem with one-way substitution
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Coordinated Capacitated Lot‐Sizing Problem with Dynamic Demand: A Lagrangian Heuristic
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Polyhedral Characterization of the Economic Lot-Sizing Problem with Start-Up Costs
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Métodos de solução aplicados ao problema de produção e distribuição
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Multistage Production and Distribution Planning Problems
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The Generalized Assignment Problem
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Mixed-Integer Optimization Approaches for Deterministic and Stochastic Inventory Management
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Lot-Sizing with Start-Up Times
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An Algorithm for Single-Item Capacitated Economic Lot Sizing with Piecewise Linear Production Costs and General Holding Costs
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Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation
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Lot-Sizing with Constant Batches: Formulation and Valid Inequalities
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Fully Polynomial Approximation Schemes for Single-Item Capacitated Economic Lot-Sizing Problems
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Lot Sizing with Inventory Bounds and Fixed Costs: Polyhedral Study and Computation
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Requirements Planning with Pricing and Order Selection Flexibility
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Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems
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A New Dantzig-Wolfe Reformulation and Branch-and-Price Algorithm for the Capacitated Lot-Sizing Problem with Setup Times
inferred← citeshttps://doi.org/10.1287/opre.37.5.716openalex-snapshot
A Dual-Ascent Procedure for Large-Scale Uncapacitated Network Design
inferred← citeshttps://doi.org/10.1287/opre.38.3.456openalex-snapshot
A Strong Cutting Plane Algorithm for Production Scheduling with Changeover Costs
inferred← citeshttps://doi.org/10.1287/opre.43.1.142openalex-snapshot
Modeling and Solving the Two-Facility Capacitated Network Loading Problem
inferred← citeshttps://doi.org/10.1287/trsc.33.3.330openalex-snapshot
Synchronized Development of Production, Inventory, and Distribution Schedules
inferred← citeshttps://doi.org/10.1504/ijmor.2010.035496openalex-snapshot
Metaheuristic for the capacitated lot-sizing problem: a software tool for MPS elaboration
inferred← citeshttps://doi.org/10.21236/ada459506openalex-snapshot
A Technique for Speeding Up the Solution of the Lagrangean Dual
inferred← citeshttps://doi.org/10.21608/bfemu.2021.201585openalex-snapshot
Biogas Utilization Model Using Linear Programming for Layer Farms. (Dept. P)
inferred← citeshttps://doi.org/10.70675/01fb4aabz6990z488ezb97fz81978452f4baopenalex-snapshot
Batch replenishment planning under capacity reservation contract
inferred← citeshttps://doi.org/10.70675/3d618c88z171bz4a47za34dzef2b804c9892openalex-snapshot
Construction de modèles d’aide à la décision pour une planification intégrée des activités de la Supply Chain minière
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