IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v265y2023ics0925527323001834.html
   My bibliography  Save this article

Installment for advance payment and pricing decisions for an inventory system under power demand pattern and all-units discount

Author

Listed:
  • Khan, Md. Al-Amin
  • Cárdenas-Barrón, Leopoldo Eduardo
  • Treviño-Garza, Gerardo
  • Céspedes-Mota, Armando

Abstract

Advance payment method has emerged as an effective mechanism to control not only any company's cash flow but also order cancellations. To encourage customers to use the prepayment mechanism, companies offer a reduction opportunity on the products per unit purchase cost based on the purchased quantity. This work analyzes a retailer's joint installment for advance payment, pricing, and inventory policies to maximize profit under a combined order-sensitive advance payment and all-units discount system. To make the model more representative, the demand is incorporated as a multiplicative form of the effects of selling price as logit and time as power patterns, and shortages are also taken into account during the model's formulation. Theoretical expressions are derived to identify whether the inventory process is unprofitable under a joint link-to-order advance payment and all-units discount arrangement. Utilizing all the derived analytical expressions, an efficacious algorithm is built to attain the optimal installment frequency for prepayment, selling price, order quantity, and shortage amount for the inventory manager. To further study the effects of a combined link-to-order prepayment and all-units discount scheme, the outcomes of several numerical examples are documented. Finally, an exploration is carried out by varying the values of all demand parameters and inventory cost parameters under or in the absence of the combined link-to-order prepayment and all-units discount scheme to provide useful guidelines for the industry manager. A noteworthy and advantageous finding for the inventory management practitioner is that by adopting a linked-to-order prepayment and discount system, certain inventory strategies previously considered unprofitable in the absence of quantity-based advance payment and discount programs have the potential to become profitable. To minimize the cost related to prepayment amounts, the inventory manager should increase the optimal installment number when the installment cost is low but decrease it when the installment cost is high. Moreover, to mitigate the impact of high price sensitivity on demand, the practitioner ought to reduce the optimal selling price and decrease the order quantity per cycle, thereby maintaining customer demand.

Suggested Citation

  • Khan, Md. Al-Amin & Cárdenas-Barrón, Leopoldo Eduardo & Treviño-Garza, Gerardo & Céspedes-Mota, Armando, 2023. "Installment for advance payment and pricing decisions for an inventory system under power demand pattern and all-units discount," International Journal of Production Economics, Elsevier, vol. 265(C).
    • Handle: RePEc:eee:proeco:v:265:y:2023:i:c:s0925527323001834
    DOI: 10.1016/j.ijpe.2023.108951
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527323001834
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2023.108951?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Girlich, Hans-Joachim, 1990. "Naddor's demand patterns and the economic order quantity under uncertainty," Engineering Costs and Production Economics, Elsevier, vol. 19(1-3), pages 327-331, May.
    2. Mohsen Lashgari & Ata Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    3. San-José, Luis A. & Sicilia, Joaquín & Alcaide-López-de-Pablo, David, 2018. "An inventory system with demand dependent on both time and price assuming backlogged shortages," European Journal of Operational Research, Elsevier, vol. 270(3), pages 889-897.
    4. Joaquín Sicilia & Jaime Febles-Acosta & Manuel González-De La Rosa, 2012. "Deterministic Inventory Systems With Power Demand Pattern," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-28.
    5. L. San José & J. García-Laguna, 2003. "An EOQ model with backorders and all-units discounts," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 253-274, December.
    6. Shayan Tavakoli & Ata Allah Taleizadeh, 2017. "An EOQ model for decaying item with full advanced payment and conditional discount," Annals of Operations Research, Springer, vol. 259(1), pages 415-436, December.
    7. Luis A. San-José & Joaquín Sicilia & Manuel González-De-la-Rosa & Jaime Febles-Acosta, 2020. "Best pricing and optimal policy for an inventory system under time-and-price-dependent demand and backordering," Annals of Operations Research, Springer, vol. 286(1), pages 351-369, March.
    8. Magfura Pervin & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2018. "Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration," Annals of Operations Research, Springer, vol. 260(1), pages 437-460, January.
    9. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 19-37.
    10. Al-Amin Khan, Md. & Shaikh, Ali Akbar & Konstantaras, Ioannis & Bhunia, Asoke Kumar & Cárdenas-Barrón, Leopoldo Eduardo, 2020. "Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price," International Journal of Production Economics, Elsevier, vol. 230(C).
    11. Khan, Md. Al-Amin & Shaikh, Ali Akbar & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint," Omega, Elsevier, vol. 103(C).
    12. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2014. "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Elsevier, vol. 155(C), pages 406-417.
    13. Mohsen Lashgari & Ata Allah Taleizadeh & Seyed Jafar Sadjadi, 2018. "Ordering policies for non-instantaneous deteriorating items under hybrid partial prepayment, partial trade credit and partial backordering," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(8), pages 1167-1196, August.
    14. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.
    15. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    16. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    17. Mohsen Lashgari & Ata Allah Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    18. Youhua (Frank) Chen & Saibal Ray & Yuyue Song, 2006. "Optimal pricing and inventory control policy in periodic‐review systems with fixed ordering cost and lost sales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(2), pages 117-136, March.
    19. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. San-José, Luis A. & Sicilia, Joaquín & Cárdenas-Barrón, Leopoldo Eduardo & González-de-la-Rosa, Manuel, 2024. "A sustainable inventory model for deteriorating items with power demand and full backlogging under a carbon emission tax," International Journal of Production Economics, Elsevier, vol. 268(C).
    2. Zhang, Yue & Hu, Xiaojian & Yao, Gang & Xu, Liangcheng, 2024. "Coupon promotion and inventory strategies of a supplier considering an e-commerce platform's omnichannel coupons," Journal of Retailing and Consumer Services, Elsevier, vol. 77(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yan Shi & Zhiyong Zhang & Sunil Tiwari & Zhiwen Tao, 2022. "Retailer's optimal strategy for a perishable product with increasing demand under various payment schemes," Annals of Operations Research, Springer, vol. 315(2), pages 899-929, August.
    2. Yu-Chung Tsao & Aisyah Dewi Muthi’ah & Thuy-Linh Vu & Niniet Indah Arvitrida, 2021. "Supply chain network design under advance-cash-credit payment," Annals of Operations Research, Springer, vol. 305(1), pages 251-272, October.
    3. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
    4. Ping Ruan & Yung-Fu Huang & Ming-Wei Weng, 2022. "Impact of COVID-19 on Supply Chains: A Hybrid Trade Credit Policy," Mathematics, MDPI, vol. 10(8), pages 1-22, April.
    5. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    6. Al-Amin Khan, Md. & Shaikh, Ali Akbar & Konstantaras, Ioannis & Bhunia, Asoke Kumar & Cárdenas-Barrón, Leopoldo Eduardo, 2020. "Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price," International Journal of Production Economics, Elsevier, vol. 230(C).
    7. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    8. Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
    9. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    10. Khan, Md. Al-Amin & Shaikh, Ali Akbar & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint," Omega, Elsevier, vol. 103(C).
    11. Liping Wang & Zhijia Wang & Lili Tian & Chuang Li, 2022. "Evolutionary Game and Numerical Simulation of Enterprises’ Green Technology Innovation: Based on the Credit Sales Financing Service of Supply Chain," Sustainability, MDPI, vol. 15(1), pages 1-25, December.
    12. Md. Abdul Hakim & Ibrahim M. Hezam & Adel Fahad Alrasheedi & Jeonghwan Gwak, 2022. "Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item," Sustainability, MDPI, vol. 14(8), pages 1-16, April.
    13. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2021. "Optimal Price and Lot Size for an EOQ Model with Full Backordering under Power Price and Time Dependent Demand," Mathematics, MDPI, vol. 9(16), pages 1-16, August.
    14. San-José, Luis A. & Sicilia, Joaquín & Cárdenas-Barrón, Leopoldo Eduardo & González-de-la-Rosa, Manuel, 2024. "A sustainable inventory model for deteriorating items with power demand and full backlogging under a carbon emission tax," International Journal of Production Economics, Elsevier, vol. 268(C).
    15. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.
    16. Ata Allah Taleizadeh & Zahedeh Cheraghi & Leopoldo Eduardo Cárdenas-Barrón & Mahsa Noori-Daryan, 2021. "Studying the Effect of Noise on Pricing and Marketing Decisions of New Products under Co-op Advertising Strategy in Supply Chains: Game Theoretical Approaches," Mathematics, MDPI, vol. 9(11), pages 1-26, May.
    17. Wen Zhang & Weizhe Yang, 2021. "Optimal pre-order strategy with delay in payments," Annals of Operations Research, Springer, vol. 305(1), pages 347-374, October.
    18. Raj, Praveen Vijaya Raj Pushpa & Nagarajan, Bagathsingh & Schoenherr, Tobias & Ramkumar, M., 2023. "A comparative investigation of a seller’s disaster payment period policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    19. Umakanta Mishra & Abu Hashan Md Mashud & Ming-Lang Tseng & Jei-Zheng Wu, 2021. "Optimizing a Sustainable Supply Chain Inventory Model for Controllable Deterioration and Emission Rates in a Greenhouse Farm," Mathematics, MDPI, vol. 9(5), pages 1-23, February.
    20. Choi, Tsan-Ming & Shi, Xiutian, 2022. "Reducing supply risks by supply guarantee deposit payments in the fashion industry in the “new normal after COVID-19”," Omega, Elsevier, vol. 109(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:265:y:2023:i:c:s0925527323001834. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.