Learning in setups: analysis, minimal forecast horizons, and algorithms
Management Science
Fully Polynomial Approximation Schemes for Single-Item Capacitated Economic Lot-Sizing Problems
Mathematics of Operations Research
Dynamic Economic Lot Size Model with Perishable Inventory
Management Science
Applying genetic algorithms to dynamic lot sizing with batch ordering
Computers and Industrial Engineering
Coordinated Replenishment Strategies in Inventory/Distribution Systems
Management Science
Two-stage inventory models with a bi-modal transportation cost
Computers and Operations Research
On the Interaction Between Demand Substitution and Production Changeovers
Manufacturing & Service Operations Management
Optimal algorithms for the economic lot-sizing problem with multi-supplier
AAIM'10 Proceedings of the 6th international conference on Algorithmic aspects in information and management
Container vessel scheduling with bi-directional flows
Operations Research Letters
Outbound shipment mode considerations for integrated inventory and delivery lot-sizing decisions
Operations Research Letters
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This paper studies two important variants of the dynamic economic lot-sizing problem that are applicable to a wide range of real-world situations. In the first model, production in each time period is restricted to a multiple of a constant batch size, where backlogging is allowed and all cost parameters are time varying. Several properties of the optimal solution are discussed. Based on these properties, an efficient dynamic programming algorithm is developed. The efficiency of the dynamic program is further improved through the use of Monge matrices. Using the results developed for the first model, an O(n3log n) algorithm is developed to solve the second model, which has a general form of product acquisition cost structure, including a fixed charge for each acquisition, a variable unit production cost, and a freight cost with a truckload discount. This algorithm can also be used to solve a more general problem with concave cost functions.