IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v16y2025i5d10.1007_s13198-025-02744-1.html
   My bibliography  Save this article

Optimization of a deteriorated inventory model with bi-level credit periods and variable demand via tournament teaching learning based optimization algorithm

Author

Listed:
  • Goutam Mandal

    (The University of Burdwan
    Brainware University)

  • Amalesh Kumar Manna

    (KIIT Deemed to be University)

  • Subhash Chandra Das

    (Chandrapur College)

  • Asoke Kumar Bhunia

    (The University of Burdwan)

Abstract

Tournamenting approach plays most vital and important role for selecting best individual in knockout tournament system. This idea is used for developing hybridization of algorithm based on teaching learning based optimization technique and named as tournament teaching learning based optimization algorithm (TTLBO). The main goal of this work is to apply hybrid TTLBO for solving maximization problems corresponding to the proposed non-instantaneous inventory model for single deteriorating item with trade-credit financing, partially backlogging and Weibull distributed deterioration. Demand depends on credit period and selling price of item. Now, our aim is to determine optimal order quantity, cycle length, selling price and maximum quantity of shortage by maximizing the retailer’s average profit. The validity of the developed model is tested with the help of an example. Also, the same example is solved by existing nine algorithms, viz. ABC, GQPSO, AQPSO, DE, RAO-1, RAO-2, RAO-3, HBO and TLBO algorithms to compare the performance and efficiency of the proposed TTLBO algorithm. Moreover, the analyses of sensitivity are studied to investigate the impact of different parameters involving in the model on the best found policy. Also, two nonparametric statistical tests, viz. Wilcoxon rank sum test and Friedman test are used to compare the statistical significant of proposed algorithm and existing nine algorithms. Finally, from numerical illustration and sensitivity analysis, a fruitful conclusion of this study is drawn.

Suggested Citation

  • Goutam Mandal & Amalesh Kumar Manna & Subhash Chandra Das & Asoke Kumar Bhunia, 2025. "Optimization of a deteriorated inventory model with bi-level credit periods and variable demand via tournament teaching learning based optimization algorithm," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(5), pages 1689-1710, May.
  • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:5:d:10.1007_s13198-025-02744-1
    DOI: 10.1007/s13198-025-02744-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-025-02744-1
    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/s13198-025-02744-1?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    2. Teng, Jinn-Tsair & Chang, Chun-Tao, 2009. "Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 195(2), pages 358-363, June.
    3. Wu, Jiang & Chang, Chun-Tao & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2017. "Optimal order quantity and selling price over a product life cycle with deterioration rate linked to expiration date," International Journal of Production Economics, Elsevier, vol. 193(C), pages 343-351.
    4. Madhusudan Dolai & Shyamal Kumar Mondal, 2024. "An imperfect production model with shortage and screening constraint under time varying demand," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(3), pages 1183-1202, March.
    5. Bhunia, A.K. & Kundu, S. & Sannigrahi, T. & Goyal, S.K., 2009. "An application of tournament genetic algorithm in a marketing oriented economic production lot-size model for deteriorating items," International Journal of Production Economics, Elsevier, vol. 119(1), pages 112-121, May.
    6. Rajan Mondal & Subhajit Das & Md Akhtar & Ali Akbar Shaikh & Asoke Kumar Bhunia, 2024. "A two-warehouse inventory model for deteriorating items with partially backlogged demand rate under trade credit policies," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(7), pages 3350-3367, July.
    7. Chaitanyakumar N. Rapolu & Deepa H. Kandpal, 2020. "Joint pricing, advertisement, preservation technology investment and inventory policies for non-instantaneous deteriorating items under trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 274-300, June.
    8. Mrudul Y. Jani & Heta A. Patel & Amrita Bhadoriya & Urmila Chaudhari & Mohamed Abbas & Malak S. Alqahtani, 2023. "Deterioration Control Decision Support System for the Retailer during Availability of Trade Credit and Shortages," Mathematics, MDPI, vol. 11(3), pages 1-27, January.
    9. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    10. Shah, Nita H. & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 569-578.
    11. Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    12. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.
    13. Yu-Chung Tsao, 2015. "A piecewise nonlinear optimization for a production-inventory model under maintenance, variable setup costs, and trade credits," Annals of Operations Research, Springer, vol. 233(1), pages 465-481, October.
    14. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Integrated inventory models considering the two-level trade credit policy and a price-negotiation scheme," European Journal of Operational Research, Elsevier, vol. 205(1), pages 47-58, August.
    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. 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.
    2. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.
    3. Johari, Maryam & Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Goh, Mark & Ignatius, Joshua, 2018. "Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 270-291.
    4. Yu-Chung Tsao & Qinhong Zhang & Hui-Ping Fang & Pei-Ling Lee, 2019. "Two-tiered pricing and ordering for non-instantaneous deteriorating items under trade credit," Operational Research, Springer, vol. 19(3), pages 833-852, September.
    5. Alaa Fouad Momena & Rakibul Haque & Mostafijur Rahaman & Sankar Prasad Mondal, 2023. "A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts," Logistics, MDPI, vol. 7(4), pages 1-25, October.
    6. 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.
    7. Qi Chen & Qi Xu & Wenjie Wang, 2019. "Optimal Policies for the Pricing and Replenishment of Fashion Apparel considering the Effect of Fashion Level," Complexity, Hindawi, vol. 2019, pages 1-12, February.
    8. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    9. Feng, Lin & Wang, Wan-Chih & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2022. "Pricing and lot-sizing decision for fresh goods when demand depends on unit price, displaying stocks and product age under generalized payments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 940-952.
    10. R. Sundararajan & M. Palanivel & S. Vaithyasubramanian, 2023. "On the EOQ Models with Advertisement-Price-Dependent Demand and Quantity Discount with Expiration Date Under Shortage," SN Operations Research Forum, Springer, vol. 4(4), pages 1-31, December.
    11. Yu, Jonas C.P., 2019. "Optimizing a two-warehouse system under shortage backordering, trade credit, and decreasing rental conditions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 147-155.
    12. 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.
    13. J. Viswanath & R. Thilagavathi, 2024. "A study of two warehouse inventory dynamism for non-instantaneous deteriorating item with Weibull demand considering trade credit policy," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1906-1926, December.
    14. Chung, Kun-Jen & Eduardo Cárdenas-Barrón, Leopoldo & Ting, Pin-Shou, 2014. "An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit," International Journal of Production Economics, Elsevier, vol. 155(C), pages 310-317.
    15. Qingren He & Shuting Li & Fei Xu & Wanhua Qiu, 2022. "Deep-Processing Service and Pricing Decisions for Fresh Products with the Rate of Deterioration," Mathematics, MDPI, vol. 10(5), pages 1-19, February.
    16. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    17. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    18. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    19. Chaitanyakumar N. Rapolu & Deepa H. Kandpal, 2020. "Joint pricing, advertisement, preservation technology investment and inventory policies for non-instantaneous deteriorating items under trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 274-300, June.
    20. 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.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:ijsaem:v:16:y:2025:i:5:d:10.1007_s13198-025-02744-1. 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.