An O(T2) algorithm for the NI/G/NI/ND capacitated lot size problem
Management Science
Economic lot sizing: an O(n log n) algorithm that runs in linear time in the Wagner-Whitin case
Operations Research - Supplement
Improved algorithms for economic lot size problems
Operations Research
Lot-sizing with constant batches: formulation and valid inequalities
Mathematics of Operations Research
Capacity Acquisition, Subcontracting, and Lot Sizing
Management Science
A Dynamic Lot-Sizing Model with Demand Time Windows
Management Science
Shipping Multiple Items by Capacitated Vehicles: An Optimal Dynamic Programming Approach
Transportation Science
Lot-sizing with production and delivery time windows
Mathematical Programming: Series A and B
Dynamic Version of the Economic Lot Size Model
Management Science
Algorithms for Single-Item Lot-Sizing Problems with Constant Batch Size
Mathematics of Operations Research
Inventory Replenishment and Inbound Shipment Scheduling Under a Minimum Replenishment Policy
Transportation Science
Dynamic lot-sizing model with demand time windows and speculative cost structure
Operations Research Letters
Inventory replenishment model: lot sizing versus just-in-time delivery
Operations Research Letters
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In this study, improved and new algorithms are developed for economic lot-sizing problems with integrated production and transportation operations. To model the economies of scale in production with the effect of shipment consolidation in transportation, we assume concave production costs and stepwise transportation costs. More specifically, we consider concave/fixed-charge/nonspeculative cost functions in production, and nonstationary/stationary delivery cost functions in transportation. The cost functions in production are always assumed to be nonstationary. To achieve a cost-effective production and shipment schedule over time, inventories are considered for carrying and backlogging items. Efficient solution procedures are provided for all the models with or without backlogging under assumed cost structures.