A polynomial time algorithm to solve the single-item capacitated lot sizing problem with minimum order quantities and concave costs
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Publication:1926904
DOI10.1016/j.ejor.2012.04.024zbMath1253.90025OpenAlexW2066507455MaRDI QIDQ1926904
Bertrand Hellion, Fabien Mangione, Bernard Penz
Publication date: 29 December 2012
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2012.04.024
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Lot sizing with storage losses under demand uncertainty ⋮ The single-item green lot-sizing problem with fixed carbon emissions ⋮ Dual-mode production planning for manufacturing with emission constraints ⋮ Polynomial-Time Solvability of Dynamic Lot Size Problems ⋮ Lot Sizing with Piecewise Concave Production Costs ⋮ Polynomial-time algorithms to solve the single-item capacitated lot sizing problem with a 1-breakpoint all-units quantity discount ⋮ Efficient algorithms for the joint replenishment problem with minimum order quantities ⋮ Forecast horizon of dynamic lot size model for perishable inventory with minimum order quantities ⋮ Single-item dynamic lot-sizing problems: an updated survey ⋮ Lot sizing with minimum order quantity ⋮ Improved algorithms for dynamic lot sizing problems with incremental discount ⋮ A dynamic lot sizing model with production-or-outsourcing decision under minimum production quantities ⋮ Production lot-sizing with dynamic capacity adjustment ⋮ Improved exact algorithms to economic lot-sizing with piecewise linear production costs ⋮ A polynomial time algorithm for the single-item lot sizing problem with capacities, minimum order quantities and dynamic time windows ⋮ Polynomial cases of the economic lot sizing problem with cost discounts ⋮ A synergic economic order quantity model with trade credit, shortages, imperfect quality and inspection errors ⋮ On Robust Lot Sizing Problems with Storage Deterioration, with Applications to Heat and Power Cogeneration
Cites Work
- An \(O(T^{3})\) algorithm for the capacitated lot sizing problem with minimum order quantities
- Inventory replenishment model: lot sizing versus just-in-time delivery.
- An efficient optimal solution method for the joint replenishment problem with minimum order quantities
- Single item lot sizing problems
- Lower Bounds in Lot-Sizing Models: A Polyhedral Study
- Computational Complexity of the Capacitated Lot Size Problem
- An O(T3) Algorithm for the Economic Lot-Sizing Problem with Constant Capacities
- Deterministic Production Planning with Concave Costs and Capacity Constraints
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