IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i11p1751-d1408780.html
   My bibliography  Save this article

Optimizing Inventory and Pricing for Substitute Products with Soft Supply Constraints

Author

Listed:
  • Armando Meza

    (Universidad de Los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago 7620086, Chile)

  • Paolo Latorre

    (Universidad de Los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago 7620086, Chile)

  • Milena Bonacic

    (Universidad de Los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago 7620086, Chile)

  • Héctor López-Ospina

    (Universidad de Los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago 7620086, Chile)

  • Juan Pérez

    (Universidad de Los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago 7620086, Chile)

Abstract

This paper presents a profit optimization model for substitute products in a competitive, time-sensitive market with scarcity and shifting user preferences. The model maximizes profit, considering production costs and inventory maintenance. It uses a discrete choice model to represent demand, sensitivity to price, availability, and changing preferences. A two-phase PSO-type metaheuristic solution tackles the nonlinear, recursive model, efficiently managing inventories and evolving consumer preferences. The model integrates production decisions, inventories, and sales prices, considering scarcity conditions and user preferences. It uses a multinomial logit for the consumers’ demand function with soft exogenous constraints, which influence utility and change consumption preferences and choices. This research offers a tool for companies to manage stock, production, and pricing in a context where goods are substitutes, providing a new perspective on business strategy.

Suggested Citation

  • Armando Meza & Paolo Latorre & Milena Bonacic & Héctor López-Ospina & Juan Pérez, 2024. "Optimizing Inventory and Pricing for Substitute Products with Soft Supply Constraints," Mathematics, MDPI, vol. 12(11), pages 1-23, June.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1751-:d:1408780
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/11/1751/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/11/1751/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Swait, Joffre & Adamowicz, Wiktor, 2001. "The Influence of Task Complexity on Consumer Choice: A Latent Class Model of Decision Strategy Switching," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 28(1), pages 135-148, June.
    2. Musen Xue & Wansheng Tang & Jianxiong Zhang, 2016. "Optimal dynamic pricing for deteriorating items with reference-price effects," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2022-2031, July.
    3. Chang, Hung-Chi, 2013. "A note on an economic lot size model for price-dependent demand under quantity and freight discounts," International Journal of Production Economics, Elsevier, vol. 144(1), pages 175-179.
    4. Neale R. Smith & Jorge Limón Robles & Leopoldo Eduardo Cárdenas-Barrón, 2009. "Optimal Pricing and Production Master Planning in a Multiperiod Horizon Considering Capacity and Inventory Constraints," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-15, August.
    5. Lüer-Villagra, Armin & Marianov, Vladimir, 2013. "A competitive hub location and pricing problem," European Journal of Operational Research, Elsevier, vol. 231(3), pages 734-744.
    6. Marisol Castro & Francisco Martínez & Marcela Munizaga, 2013. "Estimation of a constrained multinomial logit model," Transportation, Springer, vol. 40(3), pages 563-581, May.
    7. Burwell, Timothy H. & Dave, Dinesh S. & Fitzpatrick, Kathy E. & Roy, Melvin R., 1997. "Economic lot size model for price-dependent demand under quantity and freight discounts," International Journal of Production Economics, Elsevier, vol. 48(2), pages 141-155, January.
    8. Zhang, Ju-Liang & Chen, Jian & Lee, Chung-Yee, 2008. "Joint optimization on pricing, promotion and inventory control with stochastic demand," International Journal of Production Economics, Elsevier, vol. 116(2), pages 190-198, December.
    9. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    10. Juan Pérez & Héctor López-Ospina & Alejandro Cataldo & Juan-Carlos Ferrer, 2016. "Pricing and composition of bundles with constrained multinomial logit," International Journal of Production Research, Taylor & Francis Journals, vol. 54(13), pages 3994-4007, July.
    11. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    12. Joseph Thomas, 1970. "Price-Production Decisions with Deterministic Demand," Management Science, INFORMS, vol. 16(11), pages 747-750, July.
    13. Martínez, Francisco & Aguila, Felipe & Hurtubia, Ricardo, 2009. "The constrained multinomial logit: A semi-compensatory choice model," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 365-377, March.
    Full references (including those not matched with items on IDEAS)

    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. Juan Pérez & Héctor López-Ospina, 2022. "Competitive Pricing for Multiple Market Segments Considering Consumers’ Willingness to Pay," Mathematics, MDPI, vol. 10(19), pages 1-32, October.
    2. Terzi, Mourad & Ouazene, Yassine & Yalaoui, Alice & Yalaoui, Farouk, 2023. "Lot-sizing and pricing decisions under attraction demand models and multi-channel environment: New efficient formulations," Operations Research Perspectives, Elsevier, vol. 10(C).
    3. Page, Kenneth & Pérez, Juan & Telha, Claudio & García-Echalar, Andrés & López-Ospina, Héctor, 2021. "Optimal bundle composition in competition for continuous attributes," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1168-1187.
    4. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    5. Haugen, Kjetil K. & Olstad, Asmund & Pettersen, Bard I., 2007. "The profit maximizing capacitated lot-size (PCLSP) problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 165-176, January.
    6. van den Heuvel, Wilco & Wagelmans, Albert P.M., 2017. "A note on “A multi-period profit maximizing model for retail supply chain management”," European Journal of Operational Research, Elsevier, vol. 260(2), pages 625-630.
    7. van den Heuvel, Wilco & Wagelmans, Albert P.M., 2006. "A polynomial time algorithm for a deterministic joint pricing and inventory model," European Journal of Operational Research, Elsevier, vol. 170(2), pages 463-480, April.
    8. Zhi-Long Chen & Nicholas G. Hall, 2010. "The Coordination of Pricing and Scheduling Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 77-92, April.
    9. Stephen M. Gilbert, 2000. "Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods," Management Science, INFORMS, vol. 46(12), pages 1602-1616, December.
    10. José Luis Espinosa-Aranda & Ricardo García-Ródenas & María Luz López-García & Eusebio Angulo, 2018. "Constrained nested logit model: formulation and estimation," Transportation, Springer, vol. 45(5), pages 1523-1557, September.
    11. van Norden, Linda & van de Velde, Steef, 2005. "Multi-product lot-sizing with a transportation capacity reservation contract," European Journal of Operational Research, Elsevier, vol. 165(1), pages 127-138, August.
    12. Ata Allah Taleizadeh & Bita Hazarkhani & Ilkyeong Moon, 2020. "Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts," Annals of Operations Research, Springer, vol. 290(1), pages 95-113, July.
    13. Moser, Riccarda & Raffaelli, Roberta, 2014. "Does attribute cut-off elicitation affect choice consistency? Contrasting hypothetical and real-money choice experiments," Journal of choice modelling, Elsevier, vol. 11(C), pages 16-29.
    14. Kim, Sang-Won & Bell, Peter C., 2011. "Optimal pricing and production decisions in the presence of symmetrical and asymmetrical substitution," Omega, Elsevier, vol. 39(5), pages 528-538, October.
    15. Wang, Qiang & Zhao, Nenggui & Wu, Jie & Zhu, Qingyuan, 2021. "Optimal pricing and inventory policies with reference price effect and loss-Averse customers," Omega, Elsevier, vol. 99(C).
    16. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    17. Nistha Kumari & Yogendra Kumar Rajoria & Anand Chauhan & Satya Jeet Singh & Anubhav Pratap Singh & Vineet Kumar Sharma, 2024. "A Supply Chain Coordination Optimization Model with Revenue Sharing and Carbon Awareness," Sustainability, MDPI, vol. 16(9), pages 1-29, April.
    18. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    19. Wu, Xiang & (Yale) Gong, Yeming & Xu, Haoxuan & Chu, Chengbin & Zhang, Jinlong, 2017. "Dynamic lot-sizing models with pricing for new products," European Journal of Operational Research, Elsevier, vol. 260(1), pages 81-92.
    20. Habib, Khandker Nurul, 2019. "Mode choice modelling for hailable rides: An investigation of the competition of Uber with other modes by using an integrated non-compensatory choice model with probabilistic choice set formation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 129(C), pages 205-216.

    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:gam:jmathe:v:12:y:2024:i:11:p:1751-:d:1408780. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.