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
Scheduling Trains and Containers with Due Dates and Dynamic Arrivals
Transportation 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
Algorithms for Single-Item Lot-Sizing Problems with Constant Batch Size
Mathematics of Operations Research
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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An effective supply system for a vendor-managed inventory (VMI) warehouse requires collaboration between a supplier and a customer, and coordination between production and distribution functions. We study a dynamic lot-sizing model for production and inbound transportation to the VMI warehouse under a policy, based on mutual benefit of the supplier and the customer, that each replenishment quantity should be no less than a predetermined minimum size. To take advantage of economies of scale in replenishment operations as well as in shipment consolidation operations, the problem in this study assumes a concave replenishment cost structure in general for which optimal algorithms are presented. By computational experiments, we show that the most important parameter on the system is the minimum replenishment quantity. We also show that the minimum replenishment policy is successful only when large-size demands are guaranteed based on collaborations.