An (s, k, S) fluid inventory model with exponential leadtimes and order cancellations

DOI10.1080/15326349.2015.1116096zbMath1339.60128OpenAlexW2305986963MaRDI QIDQ2811919

Yonit Barron

Publication date: 9 June 2016

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2015.1116096

zbMATH Keywords

martingalecontinuous-time Markov chainproduction-inventory modelleadtimeorder cancellationsstochastic fluid inventory model

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Production models (90B30) Inventory, storage, reservoirs (90B05) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (3)

A triple \((S, s, \ell)\)-thresholds base-stock policy subject to uncertainty environment, returns and order cancellations ⋮ A probabilistic approach to the stochastic fluid cash management balance problem ⋮ An order-revenue inventory model with returns and sudden obsolescence

Cites Work

• Production-inventory systems in stochastic environment and stochastic lead times
• Passage times in fluid models with application to risk processes
• Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier
• Algorithms for the Laplace-Stieltjes transforms of first return times for stochastic fluid flows
• Stochastic models for broker inventory in dealership markets with a cash management interpretation.
• Inventory model involving controllable backorder rate and variable lead time demand with the mixtures of distribution
• On computing optimal \((Q,r)\) replenishment policies under quantity discounts
• A fluid model with upward jumps at the boundary
• An Operational Calculus for Matrix-Exponential Distributions, with Applications to a Brownian (q, Q) Inventory Model
• A Fluid EOQ Model with Markovian Environment
• On the Structure of Lost-Sales Inventory Models
• Optimality of an $(s, S)$ Policy with Compound Poisson and Diffusion Demands: A Quasi-variational Inequalities Approach
• An (s,r,S) Diffusion Inventory Model with Exponential Leadtimes and Order Cancellations
• Computing optimal (s, S) policies in inventory models with continuous demands
• Clearing Systems and (s, S) Inventory Systems with Nonlinear Costs and Positive Lead Times
• On the Objective Function Behavior in (s, S) Inventory Models
• Useful martingales for stochastic storage processes with Lévy input
• A multi-dimensional martingale for Markov additive processes and its applications
• A STOCHASTIC CLEARING MODEL WITH A BROWNIAN AND A COMPOUND POISSON COMPONENT
• Level crossing methods in stochastic models

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