Optimal strategies for an inventory system with cost functions of general form

DOI10.1007/BF02835856zbMath0972.90002MaRDI QIDQ1570273

Hans Daduna, L. P. Tur, Pavel S. Knopov

Publication date: 9 July 2000

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

inventory controlaverage costoptimal order policy\((S,s)\)-policy

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Inventory, storage, reservoirs (90B05) Markov and semi-Markov decision processes (90C40)

Related Items

Optimal strategies for the multi-task inventory control model ⋮ Stationary distributions in inventory control models ⋮ A semi-Markov inventory control model ⋮ Some multi-task inventory control models for a criterion with revaluation ⋮ Generalized gradients in dynamic optimization, optimal control, and machine learning problems ⋮ Some approaches to solving inventory control problems ⋮ Some multidimensional stochastic models of inventory control with a separable cost function

Cites Work

• Application of average dynamic programming to inventory systems
• Finite state Markovian decision processes
• Control of arrivals to a stochastic input–output system
• On the Optimality of $(s,S)$-Policies in Dynamic Inventory Models with Finite Horizon
• Average Optimality in Dynamic Programming with General State Space
• Discounted Dynamic Programming
• Negative Dynamic Programming
• On the Opimality of $( {s,S} )$ Inventory Policies: New Conditions and a New Proof
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