A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts

<i>Background:</i> What are the cumulative influences of pricing, promotions of commodities, order size-based discount opportunities, and alternative warehousing scenarios on effective decision-making concerning inventory management? It is observed that the prices and promotion of produc...

Full description

Bibliographic Details
Main Authors: Alaa Fouad Momena, Rakibul Haque, Mostafijur Rahaman, Sankar Prasad Mondal
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Logistics
Subjects:
Online Access:https://www.mdpi.com/2305-6290/7/4/77
_version_ 1827574363887501312
author Alaa Fouad Momena
Rakibul Haque
Mostafijur Rahaman
Sankar Prasad Mondal
author_facet Alaa Fouad Momena
Rakibul Haque
Mostafijur Rahaman
Sankar Prasad Mondal
author_sort Alaa Fouad Momena
collection DOAJ
description <i>Background:</i> What are the cumulative influences of pricing, promotions of commodities, order size-based discount opportunities, and alternative warehousing scenarios on effective decision-making concerning inventory management? It is observed that the prices and promotion of products influence the demand rate. The shortage can be partially backlogged, and the backlogging rate depends on the waiting time. Also, discount and trade credit facilities may be available when purchasing items. This paper describes a novel inventory control model regarding optimal warehousing decision-making scenarios. <i>Methods:</i> This paper includes the facts in its hypothesis and examines the overall impact of the mentioned issues on profitability. The inventory carrying scheme associated with the proposed model consists of both rented and owned warehouse facilities in which the cost increases linearly with time. The numerical and visual simulation succeeds the mathematical approach to analyze the proposed inventory model in Mathematica software. <i>Results:</i> The results show that a price hike enhances profit despite the negative impact on demand creation. Also, promotion frequency favors profitability, suppressing the corresponding costs. Another managerial intuition is revealed through the numerical result that the stock should be held in a rented warehouse when deterioration in the owned warehouse increases, despite the cost of a rented warehouse. <i>Conclusions:</i> Besides several mentioned management insights, this study includes several existing models as particular cases and tackles challenges in the analytical optimization approach. This study leads toward the consequences of future research scopes with industry-based raw data.
first_indexed 2024-03-08T20:35:07Z
format Article
id doaj.art-af8e615b9a554fe39e9e533f42578b25
institution Directory Open Access Journal
issn 2305-6290
language English
last_indexed 2024-03-08T20:35:07Z
publishDate 2023-10-01
publisher MDPI AG
record_format Article
series Logistics
spelling doaj.art-af8e615b9a554fe39e9e533f42578b252023-12-22T14:21:35ZengMDPI AGLogistics2305-62902023-10-01747710.3390/logistics7040077A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity DiscountsAlaa Fouad Momena0Rakibul Haque1Mostafijur Rahaman2Sankar Prasad Mondal3Department of Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi ArabiaDepartment of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaDepartment of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, India<i>Background:</i> What are the cumulative influences of pricing, promotions of commodities, order size-based discount opportunities, and alternative warehousing scenarios on effective decision-making concerning inventory management? It is observed that the prices and promotion of products influence the demand rate. The shortage can be partially backlogged, and the backlogging rate depends on the waiting time. Also, discount and trade credit facilities may be available when purchasing items. This paper describes a novel inventory control model regarding optimal warehousing decision-making scenarios. <i>Methods:</i> This paper includes the facts in its hypothesis and examines the overall impact of the mentioned issues on profitability. The inventory carrying scheme associated with the proposed model consists of both rented and owned warehouse facilities in which the cost increases linearly with time. The numerical and visual simulation succeeds the mathematical approach to analyze the proposed inventory model in Mathematica software. <i>Results:</i> The results show that a price hike enhances profit despite the negative impact on demand creation. Also, promotion frequency favors profitability, suppressing the corresponding costs. Another managerial intuition is revealed through the numerical result that the stock should be held in a rented warehouse when deterioration in the owned warehouse increases, despite the cost of a rented warehouse. <i>Conclusions:</i> Besides several mentioned management insights, this study includes several existing models as particular cases and tackles challenges in the analytical optimization approach. This study leads toward the consequences of future research scopes with industry-based raw data.https://www.mdpi.com/2305-6290/7/4/77selling priceadvertisementEOQ modelprice discounttime-dependent holding costwarehouse
spellingShingle Alaa Fouad Momena
Rakibul Haque
Mostafijur Rahaman
Sankar Prasad Mondal
A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
Logistics
selling price
advertisement
EOQ model
price discount
time-dependent holding cost
warehouse
title A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
title_full A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
title_fullStr A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
title_full_unstemmed A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
title_short A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts
title_sort two storage inventory model with trade credit policy and time varying holding cost under quantity discounts
topic selling price
advertisement
EOQ model
price discount
time-dependent holding cost
warehouse
url https://www.mdpi.com/2305-6290/7/4/77
work_keys_str_mv AT alaafouadmomena atwostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT rakibulhaque atwostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT mostafijurrahaman atwostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT sankarprasadmondal atwostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT alaafouadmomena twostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT rakibulhaque twostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT mostafijurrahaman twostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts
AT sankarprasadmondal twostorageinventorymodelwithtradecreditpolicyandtimevaryingholdingcostunderquantitydiscounts