IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v6y2019i1d10.1007_s40745-018-00186-0.html
   My bibliography  Save this article

Multi-objective Inventory Model with Both Stock-Dependent Demand Rate and Holding Cost Rate Under Fuzzy Random Environment

Author

Listed:
  • Totan Garai

    (Silda Chandra Sekhar College, Silda)

  • Dipankar Chakraborty

    (Heritage Institute of Technology)

  • Tapan Kumar Roy

    (Silda Chandra Sekhar College, Silda)

Abstract

In this paper, we investigated a multi-objective inventory model under both stock-dependent demand rate and holding cost rate with fuzzy random coefficients. Chance constrained fuzzy random multi-objective model and a traditional solution procedure based on an interactive fuzzy satisfying method are discussed. In addition, the technique of fuzzy random simulation is applied to deal with general fuzzy random objective functions and fuzzy random constraints which are usually difficult to converted into their crisp equivalents. The purposed of this study is to determine optimal order quantity and inventory level such that the total profit and wastage cost are maximized and minimize for the retailer respectively. Finally, illustrate example is given in order to show the application of the proposed model.

Suggested Citation

  • Totan Garai & Dipankar Chakraborty & Tapan Kumar Roy, 2019. "Multi-objective Inventory Model with Both Stock-Dependent Demand Rate and Holding Cost Rate Under Fuzzy Random Environment," Annals of Data Science, Springer, vol. 6(1), pages 61-81, March.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:1:d:10.1007_s40745-018-00186-0
    DOI: 10.1007/s40745-018-00186-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-018-00186-0
    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/s40745-018-00186-0?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. Pradip Kundu & Samarjit Kar & Manoranjan Maiti, 2014. "Multi-objective solid transportation problems with budget constraint in uncertain environment," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1668-1682, August.
    2. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    3. Sankar Prasad Mondal, 2016. "Differential equation with interval valued fuzzy number and its applications," 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. 7(3), pages 370-386, September.
    4. Ata Allah Taleizadeh & Seyed Jafar Sadjadi & Seyed Taghi Akhavan Niaki, 2011. "Multiproduct EPQ model with single machine, backordering and immediate rework process," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 5(4), pages 388-411.
    5. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
    6. Jie Min & Yong-Wu Zhou & Gui-Qing Liu & Sheng-Dong Wang, 2012. "An EPQ model for deteriorating items with inventory-level-dependent demand and permissible delay in payments," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(6), pages 1039-1053.
    7. Ishii, Hiroaki & Konno, Tutomu, 1998. "A stochastic inventory problem with fuzzy shortage cost," European Journal of Operational Research, Elsevier, vol. 106(1), pages 90-94, April.
    8. Dey, Oshmita & Chakraborty, Debjani, 2011. "A fuzzy random continuous review inventory system," International Journal of Production Economics, Elsevier, vol. 132(1), pages 101-106, July.
    9. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "An economic lot-size model with non-linear holding cost hinging on time and quantity," International Journal of Production Economics, Elsevier, vol. 145(1), pages 294-303.
    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. Satya Kumar Das, 2022. "A Fuzzy Multi Objective Inventory Model with Production Cost and Set-up-Cost Dependent on Population," Annals of Data Science, Springer, vol. 9(3), pages 627-643, June.
    2. Sujit Kumar De & Kousik Bhattacharya, 2022. "A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 598-627, February.
    3. Wasim Akram Mandal, 2023. "Bipolar Pythagorean Fuzzy Sets and Their Application in Multi-attribute Decision Making Problems," Annals of Data Science, Springer, vol. 10(3), pages 555-587, June.

    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. Yang, Chih-Te, 2014. "An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 214-221.
    2. 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.
    3. 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.
    4. Ioannis Mallidis & Dimitrios Vlachos & Volha Yakavenka & Zafeiriou Eleni, 2020. "Development of a single period inventory planning model for perishable product redistribution," Annals of Operations Research, Springer, vol. 294(1), pages 697-713, November.
    5. 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).
    6. Dharmendra Yadav & S.R. Singh & Rachna Kumari, 2015. "Retailer's optimal policy under inflation in fuzzy environment with trade credit," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(4), pages 754-762, March.
    7. Irfan Ali & Srikant Gupta & Aquil Ahmed, 2019. "Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment," 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. 10(2), pages 173-189, April.
    8. Herbon, Avi & Khmelnitsky, Eugene, 2017. "Optimal dynamic pricing and ordering of a perishable product under additive effects of price and time on demand," European Journal of Operational Research, Elsevier, vol. 260(2), pages 546-556.
    9. Avinadav, Tal & Henig, Mordecai I., 2015. "Exact accounting of inventory costs in stochastic periodic-review models," International Journal of Production Economics, Elsevier, vol. 169(C), pages 89-98.
    10. S. Dari & B. Sani, 2020. "An EPQ model for delayed deteriorating items with quadratic demand and linear holding cost," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 46-72, March.
    11. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal Pricing and Inventory Decisions for Perishable Products with Multivariate Demand Function Under Trade Credit," SN Operations Research Forum, Springer, vol. 4(2), pages 1-26, June.
    12. Chen, Jing & Dong, Ming & Xu, Lei, 2018. "A perishable product shipment consolidation model considering freshness-keeping effort," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 56-86.
    13. Chang, Chun-Tao & Teng, Jinn-Tsair & Goyal, Suresh Kumar, 2010. "Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 123(1), pages 62-68, January.
    14. Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 163-171.
    15. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    16. 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.
    17. Wu, Xiang & Xiong, Jie & Li, Haitao & Wu, Han, 2019. "The myth of retail pricing policy for developing organic vegetable markets," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 8-13.
    18. 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.
    19. Joaquín Sicilia & Luis San-José & Juan García-Laguna, 2012. "An inventory model where backordered demand ratio is exponentially decreasing with the waiting time," Annals of Operations Research, Springer, vol. 199(1), pages 137-155, October.
    20. Maiti, Manas Kumar, 2008. "Fuzzy inventory model with two warehouses under possibility measure on fuzzy goal," European Journal of Operational Research, Elsevier, vol. 188(3), pages 746-774, August.

    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:aodasc:v:6:y:2019:i:1:d:10.1007_s40745-018-00186-0. 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.