Cost-Effective Inventory Control Under Risk

Inventory systems play an important role in manufacturing and service providing organisations to support fluency of production or service. Evolution in time and environment of risk usually characterise operation of such systems. Proper control rules are required for decision making on replenishment...

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Main Author: Ondrej Bartl
Format: Article
Language:English
Published: University of Žilina 2000-12-01
Series:Communications
Subjects:
Online Access:https://komunikacie.uniza.sk/artkey/csl-200004-0003_cost-effective-inventory-control-under-risk.php
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author Ondrej Bartl
author_facet Ondrej Bartl
author_sort Ondrej Bartl
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description Inventory systems play an important role in manufacturing and service providing organisations to support fluency of production or service. Evolution in time and environment of risk usually characterise operation of such systems. Proper control rules are required for decision making on replenishment orders. If stochastic dynamics of system motion exhibits the Markovian property, then Markov decision models can be employed to reveal a cost-effective inventory control policy. A single-item periodic-review inventory system in the maintenance centre of amanufacturing or transportation organisation with aPoisson arrival stream of demand requirements for spare components is introduced in the paper. The corresponding discrete-time Markov decision model with finite state and action spaces is described for sequential decisions on order sizes over an infinite planning horizon. The long-run expected average cost per unit time is the criterion of interest to be minimised by an optimal inventory control policy.
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spelling doaj.art-affa52b538bc45e4994f56a3267263532023-04-14T06:29:06ZengUniversity of ŽilinaCommunications1335-42052585-78782000-12-0124162810.26552/com.C.2000.4.16-28csl-200004-0003Cost-Effective Inventory Control Under RiskOndrej Bartl0Department of Special Technologies, Faculty of Management Science and Informatics, University of Žilina, Slovak RepublicInventory systems play an important role in manufacturing and service providing organisations to support fluency of production or service. Evolution in time and environment of risk usually characterise operation of such systems. Proper control rules are required for decision making on replenishment orders. If stochastic dynamics of system motion exhibits the Markovian property, then Markov decision models can be employed to reveal a cost-effective inventory control policy. A single-item periodic-review inventory system in the maintenance centre of amanufacturing or transportation organisation with aPoisson arrival stream of demand requirements for spare components is introduced in the paper. The corresponding discrete-time Markov decision model with finite state and action spaces is described for sequential decisions on order sizes over an infinite planning horizon. The long-run expected average cost per unit time is the criterion of interest to be minimised by an optimal inventory control policy.https://komunikacie.uniza.sk/artkey/csl-200004-0003_cost-effective-inventory-control-under-risk.phpmarkov decision processesinventory controlperiodicreview inventory systems
spellingShingle Ondrej Bartl
Cost-Effective Inventory Control Under Risk
Communications
markov decision processes
inventory control
periodicreview inventory systems
title Cost-Effective Inventory Control Under Risk
title_full Cost-Effective Inventory Control Under Risk
title_fullStr Cost-Effective Inventory Control Under Risk
title_full_unstemmed Cost-Effective Inventory Control Under Risk
title_short Cost-Effective Inventory Control Under Risk
title_sort cost effective inventory control under risk
topic markov decision processes
inventory control
periodicreview inventory systems
url https://komunikacie.uniza.sk/artkey/csl-200004-0003_cost-effective-inventory-control-under-risk.php
work_keys_str_mv AT ondrejbartl costeffectiveinventorycontrolunderrisk