A diffusion inventory model for deteriorating items
type: Item
instance of: scholarly article
title: A diffusion inventory model for deteriorating items
zbMATH Open document ID: 1031.65077
DOI: 10.1016/S0096-3003(02)00097-8
author: Lakdere Benkherouf
author: Amin Boumenir
author: Lakhdar Aggoun
published in: Applied Mathematics and Computation
publication date: 2003-09-09T00:00:00Z
review text: The authors consider the problem of finding the optimal impulse control schedule for a stochastic inventory model for deteriorating items. It is shown that this problem can be studied in the general frame of parabolic quasi variational inequalities. As a special case, they use this approach to solve the second-order obstacle problem. Some background material is also provided. It is a nice paper with interesting results. Such type quasi variational inequalities are being used to study the risk analysis in finance.
reviewed by: Muhammad Aslam Noor
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 91B30
zbMATH DE Number: 1977984
zbMATH Keywords: quasi variational inequalities
zbMATH Keywords: diffusion inventory model
zbMATH Keywords: optimal impulse control schedule
zbMATH Keywords: second-order obstacle problem
zbMATH Keywords: risk analysis in finance
MaRDI profile type: Publication
cites work: A continuous time inventory model
cites work: On an inventory model with deteriorating items and decreasing time-varying demand and shortages
cites work: On an Inventory Model for Deteriorating Items With Increasing Time-varying Demand and Shortages
cites work: Q4087842
cites work: Perishable Inventory Theory: A Review
cites work: Survey of Literature on Continuously Deteriorating Inventory Models
cites work: A Solvable One-Dimensional Model of a Diffusion Inventory System
description: scientific article; zbMATH DE number 1977984