A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme

► Soni and Shah’s model is extended to allow for non-zero ending-inventory, limited inventory space and profit maximization. ► Sufficient conditions for the existence and uniqueness of the optimal solution are established. ► Economic interpretations for the theoretical results are provided. ► The nu...

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Veröffentlicht in:European journal of operational research 2011-11, Vol.215 (1), p.97-104
Hauptverfasser: Teng, Jinn-Tsair, Krommyda, Iris-Pandora, Skouri, Konstantina, Lou, Kuo-Ren
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container_issue 1
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container_title European journal of operational research
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creator Teng, Jinn-Tsair
Krommyda, Iris-Pandora
Skouri, Konstantina
Lou, Kuo-Ren
description ► Soni and Shah’s model is extended to allow for non-zero ending-inventory, limited inventory space and profit maximization. ► Sufficient conditions for the existence and uniqueness of the optimal solution are established. ► Economic interpretations for the theoretical results are provided. ► The numerical examples indicate that our optimal solution leads to increase the profit in relation with that of Soni and Shah. In a recent paper, Soni and Shah (2008) presented an inventory model with a stock-dependent demand under progressive payment scheme, assuming zero ending-inventory and adopting a cost-minimization objective. However, with a stock-dependent demand a non-zero ending stock may increase profits resulting from the increased demand. This work is motivated by Soni and Shah’s (2008) paper extending their model to allow for: (1) a non-zero ending-inventory, (2) a profit-maximization objective, (3) a limited inventory capacity and (4) deteriorating items with a constant deterioration rate. For the resulted model sufficient conditions for the existence and uniqueness of the optimal solution are provided. Finally, several economic interpretations of the theoretical results are also given.
doi_str_mv 10.1016/j.ejor.2011.05.056
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subjects Applied sciences
Demand
Deteriorating items
Deterioration
Economics
Exact sciences and technology
Inventories
Inventory
Inventory control, production control. Distribution
Inventory management
Inventory Stock-dependent demand Progressive payment scheme Deteriorating items
Marketing
Operational research and scientific management
Operational research. Management science
Operations research
Optimization
Payment systems
Progressive payment scheme
Raw materials
Stock-dependent demand
Stockpiling
Studies
title A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme
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