IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v21y2021i1d10.1007_s12351-019-00457-5.html
   My bibliography  Save this article

Optimal payment time and replenishment decisions for retailer’s inventory system under trade credit and carbon emission constraints

Author

Listed:
  • Armin Jabbarzadeh

    (École de technologie supérieure (ETS))

  • Leyla Aliabadi

    (University of Tehran)

  • Reza Yazdanparast

    (University of Tehran)

Abstract

This study presents a multi-item inventory and pricing model by considering marketing, service activities, trade credit, carbon emissions, and the restrictions of production cost and storage space. In the proposed model, shortages are allowed and demand rate is a power function of service and marketing costs, and selling price. The main objective of this study is to optimize retailer’s payments time, service and marketing expenditure, and replenishment decisions in order to maximize retailer’s total profit and minimize carbon emissions, simultaneously. Model is developed in a fuzzy environment under carbon tax regulation when the length of credit period provided by supplier is less than or equal to the length of time in which no shortage happens. To solve the proposed model, we first transform the original problem into a multi-objective Signomial Geometric Programming (SGP) problem using fuzzy and hybrid parameters, which minimizes both the mean value and the total dispersion value of the objective function. Then a global optimization problem method has been used to solve the SGP problem. Efficiency of this algorithm is tested and compared with multi-objective genetic algorithm, multi-objective genetic algorithm with varying population, and hybrid heuristic algorithm. At the end, several numerical examples and sensitivity analysis are performed to demonstrate the application of the proposed model and solution procedure to obtain managerial insights.

Suggested Citation

  • Armin Jabbarzadeh & Leyla Aliabadi & Reza Yazdanparast, 2021. "Optimal payment time and replenishment decisions for retailer’s inventory system under trade credit and carbon emission constraints," Operational Research, Springer, vol. 21(1), pages 589-620, March.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:1:d:10.1007_s12351-019-00457-5
    DOI: 10.1007/s12351-019-00457-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-019-00457-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12351-019-00457-5?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. Hovelaque, Vincent & Bironneau, Laurent, 2015. "The carbon-constrained EOQ model with carbon emission dependent demand," International Journal of Production Economics, Elsevier, vol. 164(C), pages 285-291.
    2. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    3. Mandal, Nirmal Kumar & Roy, Tapan Kumar & Maiti, Manoranjan, 2006. "Inventory model of deteriorated items with a constraint: A geometric programming approach," European Journal of Operational Research, Elsevier, vol. 173(1), pages 199-210, August.
    4. Jamal, A. M. M. & Sarker, Bhaba R. & Wang, Shaojun, 2000. "Optimal payment time for a retailer under permitted delay of payment by the wholesaler," International Journal of Production Economics, Elsevier, vol. 66(1), pages 59-66, June.
    5. Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Teng, Jinn-Tsair, 2014. "Retailer’s economic order quantity when the supplier offers conditionally permissible delay in payments link to order quantity," International Journal of Production Economics, Elsevier, vol. 155(C), pages 284-291.
    6. Xu, Gongxian, 2014. "Global optimization of signomial geometric programming problems," European Journal of Operational Research, Elsevier, vol. 233(3), pages 500-510.
    7. Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
    8. Song, Xiping & Cai, Xiaoqiang, 2006. "On optimal payment time for a retailer under permitted delay of payment by the wholesaler," International Journal of Production Economics, Elsevier, vol. 103(1), pages 246-251, September.
    9. Hammami, Ramzi & Nouira, Imen & Frein, Yannick, 2015. "Carbon emissions in a multi-echelon production-inventory model with lead time constraints," International Journal of Production Economics, Elsevier, vol. 164(C), pages 292-307.
    10. Soni, Hardik N, 2013. "Optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment," International Journal of Production Economics, Elsevier, vol. 146(1), pages 259-268.
    11. Dye, Chung-Yuan & Yang, Chih-Te, 2015. "Sustainable trade credit and replenishment decisions with credit-linked demand under carbon emission constraints," European Journal of Operational Research, Elsevier, vol. 244(1), pages 187-200.
    12. Lin, Ming-Hua & Tsai, Jung-Fa, 2012. "Range reduction techniques for improving computational efficiency in global optimization of signomial geometric programming problems," European Journal of Operational Research, Elsevier, vol. 216(1), pages 17-25.
    13. Vandana, & Sharma, B.K., 2016. "An EOQ model for retailers partial permissible delay in payment linked to order quantity with shortages," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 99-112.
    14. Maryam Ghoreishi & Gerhard-Wilhelm Weber & Abolfazl Mirzazadeh, 2015. "An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation- and selling price-dependent demand and customer returns," Annals of Operations Research, Springer, vol. 226(1), pages 221-238, March.
    15. Dipak Kumar Jana & Barun Das, 2017. "A two-storage multi-item inventory model with hybrid number and nested price discount via hybrid heuristic algorithm," Annals of Operations Research, Springer, vol. 248(1), pages 281-304, January.
    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. Ata Allah Taleizadeh & Leila Aliabadi & Park Thaichon, 2022. "A sustainable inventory system with price-sensitive demand and carbon emissions under partial trade credit and partial backordering," Operational Research, Springer, vol. 22(4), pages 4471-4516, September.
    2. 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.
    3. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    4. Leyla Aliabadi & Seyed Hessameddin Zegordi & Ali Husseinzadeh Kashan & Mohammad Ali Rastegar, 2024. "A sustainable supply chain model for time-varying deteriorating items under the promotional cost-sharing policy and three-level trade credit financing," Operational Research, Springer, vol. 24(2), pages 1-59, June.
    5. Yiduo Zhan & Qipeng P. Zheng & Chung-Li Tseng & Eduardo L. Pasiliao, 2018. "An accelerated extended cutting plane approach with piecewise linear approximations for signomial geometric programming," Journal of Global Optimization, Springer, vol. 70(3), pages 579-599, March.
    6. Tapan Kumar Datta & Prasanta Nath & Karabi Dutta Choudhury, 2020. "A hybrid carbon policy inventory model with emission source-based green investments," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 202-220, March.
    7. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    8. Daniel Seifert & Ralf W. Seifert & Olov H.D. Isaksson, 2017. "A test of inventory models with permissible delay in payment," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1117-1128, February.
    9. Shen, Peiping & Zhu, Zeyi & Chen, Xiao, 2019. "A practicable contraction approach for the sum of the generalized polynomial ratios problem," European Journal of Operational Research, Elsevier, vol. 278(1), pages 36-48.
    10. Gour Chandra Mahata & Sujit Kumar De, 2016. "An EOQ inventory system of ameliorating items for price dependent demand rate under retailer partial trade credit policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 889-916, December.
    11. Feng, Lin & Chan, Ya-Lan, 2019. "Joint pricing and production decisions for new products with learning curve effects under upstream and downstream trade credits," European Journal of Operational Research, Elsevier, vol. 272(3), pages 905-913.
    12. Zhitao Xu & Adel Elomri & Shaligram Pokharel & Fatih Mutlu, 2019. "The Design of Green Supply Chains under Carbon Policies: A Literature Review of Quantitative Models," Sustainability, MDPI, vol. 11(11), pages 1-20, May.
    13. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    14. Juanjuan Qin & Xiaojian Bai & Liangjie Xia, 2015. "Sustainable Trade Credit and Replenishment Policies under the Cap-And-Trade and Carbon Tax Regulations," Sustainability, MDPI, vol. 7(12), pages 1-22, December.
    15. Li, Ruihai & Yang, Hui-Ling & Shi, Yan & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2021. "EOQ-based pricing and customer credit decisions under general supplier payments," European Journal of Operational Research, Elsevier, vol. 289(2), pages 652-665.
    16. Fei Hu & Cheng-Chew Lim & Zudi Lu, 2015. "The retailer’s optimal decision on order quantity and credit periods under two-level trade credit policy," Journal of Global Optimization, Springer, vol. 62(4), pages 833-852, August.
    17. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    18. Chaharsooghi, S. Kamal & Heydari, Jafar, 2010. "Supply chain coordination for the joint determination of order quantity and reorder point using credit option," European Journal of Operational Research, Elsevier, vol. 204(1), pages 86-95, July.
    19. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
    20. Tseng, Chung-Li & Zhan, Yiduo & Zheng, Qipeng P. & Kumar, Manish, 2015. "A MILP formulation for generalized geometric programming using piecewise-linear approximations," European Journal of Operational Research, Elsevier, vol. 245(2), pages 360-370.

    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:spr:operea:v:21:y:2021:i:1:d:10.1007_s12351-019-00457-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.