IDEAS home Printed from https://ideas.repec.org/a/taf/tprsxx/v53y2015i16p4993-5016.html
   My bibliography  Save this article

Multi-item reliability dependent imperfect production inventory optimal control models with dynamic demand under uncertain resource constraint

Author

Listed:
  • J.N. Roul
  • K. Maity
  • S. Kar
  • M. Maiti

Abstract

In this paper, imperfect multi-item production inventory models are considered over a finite time horizon with known dynamic demands. The production rates are functions of time which are taken as control variables. In the production process, reliability plays an important role to improve the quality of products and to decrease the defective rate. The said defective units are partially or fully reworked. The unit production cost is a function of production rate and also dependent on raw material cost, development cost due to reliability and wear-tear cost. There is a constraint on the total production cost termed as budget constraint which is crisp/imprecise/random in nature. The objective of the present investigation is to fix the optimum reliabilities of the production system to have maximum return. Thus, the models are formulated as optimal control problems for the maximisation of profit and solved using Hamiltonian (Pontryagin’s Maximum Principle), fixed-final time and free-final state system, Kuhn–Tucker conditions and Generalised Reduced Gradient Method. Several particular cases are derived from the general model. The models are illustrated numerically and graphically and some managerial decisions are derived.

Suggested Citation

  • J.N. Roul & K. Maity & S. Kar & M. Maiti, 2015. "Multi-item reliability dependent imperfect production inventory optimal control models with dynamic demand under uncertain resource constraint," International Journal of Production Research, Taylor & Francis Journals, vol. 53(16), pages 4993-5016, August.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:16:p:4993-5016
    DOI: 10.1080/00207543.2015.1012601
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207543.2015.1012601
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207543.2015.1012601?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.

    Citations

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


    Cited by:

    1. Kuen-Suan Chen & Chun-Min Yu, 2024. "Confidence-interval-based fuzzy supplier selection model with lifetime performance index," Annals of Operations Research, Springer, vol. 340(1), pages 133-147, September.
    2. Falguni Mahato & Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable optimal production policies for an imperfect production system with trade credit under different carbon emission regulations," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(9), pages 10073-10099, September.
    3. Glock, Christoph H. & Grosse, Eric H., 2021. "The impact of controllable production rates on the performance of inventory systems: A systematic review of the literature," European Journal of Operational Research, Elsevier, vol. 288(3), pages 703-720.
    4. Ahmed Abdel-Aleem & Mahmoud A. El-Sharief & Mohsen A. Hassan & Mohamed G. El-Sebaie, 2017. "A surface response optimization model for EPQ system with imperfect production process under rework and shortage," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 735-751, December.
    5. Milia Habib & Farouk Yalaoui & Hicham Chehade & Iman Jarkass & Nazir Chebbo, 2017. "Multi-objective design optimisation of repairable -out-of- subsystems in series with redundant dependency," International Journal of Production Research, Taylor & Francis Journals, vol. 55(23), pages 7000-7021, December.
    6. Kuen-Suan Chen & Tsun-Hung Huang & Kuo-Ching Chiou & Wen-Yang Kao, 2024. "Fuzzy Evaluation Model for Products with Multifunctional Quality Characteristics: Case Study on Eco-Friendly Yarn," Mathematics, MDPI, vol. 12(10), pages 1-11, May.
    7. Kuen-Suan Chen & Feng-Chia Li & Kuei-Kuei Lai & Jung-Mao Lin, 2022. "Green Outsourcer Selection Model Based on Confidence Interval of PCI for SMT Process," Sustainability, MDPI, vol. 14(24), pages 1-12, December.

    More about this item

    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:taf:tprsxx:v:53:y:2015:i:16:p:4993-5016. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TPRS20 .

    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.