On the rate of convergence of the asymptotic expansion for the ergodic distribution of a semi-Markov \((s, S)\) inventory model

DOI10.1007/s10559-012-9381-3zbMath1276.90005OpenAlexW2154086498MaRDI QIDQ380669

Mohammad Hasan, H. S. Yoon

Publication date: 14 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10559-012-9381-3

zbMATH Keywords

asymptotic expansionconvergence rateergodic distribution\((s, S)\) inventory model

Mathematics Subject Classification ID

Inventory, storage, reservoirs (90B05)

Cites Work

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• Sensitivity analysis of an \((s,S)\) inventory model
• Asymptotic expansions for the moments of the Gaussian random walk with two barriers
• Probability characteristics of the inventory level in \((s,S)\) model
• Asymptotic expansions for the moments of a semi-Markovian random walk with exponential distributed interference of chance
• Numerical analysis of \((s, S)\) inventory systems with repeated attempts
• A control model for an insurance company
• On the continuous-review (s, S) inventory model under compound renewal demand and random lead times
• On the stationary characteristics of the extended model of type (s,S) with Gaussian distribution of summands
• An efficient heuristic for inventory control when the customer is using a \((s,S)\) policy

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