IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3986-d1243447.html
   My bibliography  Save this article

A Study on Two-Warehouse Inventory Systems with Integrated Multi-Purpose Production Unit and Partitioned Rental Warehouse

Author

Listed:
  • Viswanath Jagadeesan

    (Department of Mathematics, Vel Tech Rangarajan Dr Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

  • Thilagavathi Rajamanickam

    (Department of Mathematics, Vel Tech Rangarajan Dr Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

  • Vladimira Schindlerova

    (Department of Mechanical Technology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic)

  • Sreelakshmi Subbarayan

    (Department of Engineering Mathematics, HKBK College of Engineering, Bengaluru 560045, India)

  • Robert Cep

    (Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic)

Abstract

A study of two warehouse inventory systems with a production unit is developed in this article with some constraints which are of practical applicability to optimize the total production cycle and its cost. A production unit evolves in three different states to retain its quality and prolong its lifetime: the state of producing items, the state of reworking the identified defective items, and the state of being idle. It processes the items up to a certain time point. The screening process starts immediately after a product comes out of the production unit. The classified non-defective items are first stored in own warehouse ( O W ), after filling to its maximum capacity, and the remaining items fill in the first block R W 1 of the rental warehouse R W . All identified defective items are stored in the second block R W 2 of R W . The holding cost of an item is higher in R W than O W . All defective items are sent to the production unit for re-do processes as a single lot immediately after the stop of the production and re-do items are stored in R W 1 to satisfy the demand. The items in the R W 1 are of higher priority in satisfying the demands after the stop of the production unit in producing new items as to deduce the total cost. Demand is assumed as both time and advertisement dependent and is encouraged once production starts. The deterioration rate differs in both warehouses. No backlog is entertained. The study is directed to achieve optimum total cycle cost towards the attainment of the optimum production time slot and the entire cycle of the system. We have arrived at explicit expressions for the total cost function of the entire production cycle. An analytic optimization process of the discriminant method is employed in the form of an algorithm to arrive at the optimum total cost. It provides a numerical illustration of a specific environment. The implications of the current research work are as follows. The optimum utility of production units in three different states in arriving at the optimum total cost is extensively studied with respect to deterioration, demand, and production rates. It also examined the influence of fluctuating deterioration, demand, and production parameters in arriving at optimum deterioration cost, holding cost, and total cycle cost, as they have important managerial insights. The effect of rental charges on the optimum total cost is examined as the system is used for multi-purpose storage.

Suggested Citation

  • Viswanath Jagadeesan & Thilagavathi Rajamanickam & Vladimira Schindlerova & Sreelakshmi Subbarayan & Robert Cep, 2023. "A Study on Two-Warehouse Inventory Systems with Integrated Multi-Purpose Production Unit and Partitioned Rental Warehouse," Mathematics, MDPI, vol. 11(18), pages 1-24, September.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3986-:d:1243447
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3986/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/18/3986/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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).
    2. M. Sanjai & S. Periyasamy, 2019. "An inventory model for imperfect production system with rework and shortages," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 34(1), pages 66-84.
    3. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    4. Yonit Barron, 2023. "Integrating Replenishment Policy and Maintenance Services in a Stochastic Inventory System with Bilateral Movements," Mathematics, MDPI, vol. 11(4), pages 1-35, February.
    5. Narayanan Ganesh & Rajendran Shankar & Kanak Kalita & Pradeep Jangir & Diego Oliva & Marco Pérez-Cisneros, 2023. "A Novel Decomposition-Based Multi-Objective Symbiotic Organism Search Optimization Algorithm," Mathematics, MDPI, vol. 11(8), pages 1-25, April.
    6. Jagadeesan Viswanath & Rajamanickam Thilagavathi & Krishnasamy Karthik & Miroslav Mahdal, 2023. "A Study of a Two Storage Single Product Inventory System with Ramp Type Demand, N-Phase Prepayment and Purchase for Exigency," Mathematics, MDPI, vol. 11(7), pages 1-17, April.
    7. Barun Khara & Jayanta Kumar Dey & Shyamal Kumar Mondal, 2021. "An integrated imperfect production system with advertisement dependent demand using branch and bound technique," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 508-546, June.
    8. Dana Marsetiya Utama & Shanty Kusuma Dewi & Sri Kurnia Dwi Budi Maulana & Harish Garg, 2022. "Optimization of Joint Economic Lot Size Model for Vendor-Buyer with Exponential Quality Degradation and Transportation by Chimp Optimization Algorithm," Complexity, Hindawi, vol. 2022, pages 1-17, February.
    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. Bikash Koli Dey & Hyesung Seok, 2024. "Intelligent inventory management with autonomation and service strategy," Journal of Intelligent Manufacturing, Springer, vol. 35(1), pages 307-330, January.
    2. Majed G. Alharbi, 2022. "Carbon Reduction Technology Based on Imperfect Production System for Deteriorating Items with Warranty Periods and Greenness Dependent Demand," Sustainability, MDPI, vol. 14(22), pages 1-16, November.
    3. Kar, Sumi & Basu, Kajla & Sarkar, Biswajit, 2023. "Advertisement policy for dual-channel within emissions-controlled flexible production system," Journal of Retailing and Consumer Services, Elsevier, vol. 71(C).
    4. Manoranjan De & Barun Das & Manoranjan Maiti, 2016. "EPL models for complementary and substitute items under imperfect production process with promotional cost and selling price dependent demands," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 259-277, June.
    5. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    6. Sher, Mikhail M. & Kim, Seung-Lae & Banerjee, Avijit & Paz, Michael T., 2018. "A supply chain coordination mechanism for common items subject to failure in the electronics, defense, and medical industries," International Journal of Production Economics, Elsevier, vol. 203(C), pages 164-173.
    7. Tien-Yu Lin & Kuo-Lung Hou, 2015. "An imperfect quality economic order quantity with advanced receiving," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 535-551, July.
    8. Alamri, Adel A. & Syntetos, Aris A., 2018. "Beyond LIFO and FIFO: Exploring an Allocation-In-Fraction-Out (AIFO) policy in a two-warehouse inventory model," International Journal of Production Economics, Elsevier, vol. 206(C), pages 33-45.
    9. Hauck, Zsuzsanna & Rabta, Boualem & Reiner, Gerald, 2023. "Coordinating quality decisions in a two-stage supply chain under buyer dominance," International Journal of Production Economics, Elsevier, vol. 264(C).
    10. Mahesh Kumar Jayaswal & Mandeep Mittal, 2022. "Impact of Inflation and Credit Financing Policy on the Supply Chain With Learning," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 15(1), pages 1-25, January.
    11. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    12. Ajoy Hatibaruah & Sumit Saha, 2023. "An inventory model for two-parameter Weibull distributed ameliorating and deteriorating items with stock and advertisement frequency dependent demand under trade credit and preservation technology," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 951-1002, June.
    13. Wang, Chih-Hsiung, 2005. "Integrated production and product inspection policy for a deteriorating production system," International Journal of Production Economics, Elsevier, vol. 95(1), pages 123-134, January.
    14. Abu Hashan Md Mashud & Hui-Ming Wee & Chiao-Ven Huang & Jei-Zheng Wu, 2020. "Optimal Replenishment Policy for Deteriorating Products in a Newsboy Problem with Multiple Just-in-Time Deliveries," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    15. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    16. Dipak Barman & Gour Chandra Mahata, 2022. "Two-echelon production inventory model with imperfect quality items with ordering cost reduction depending on controllable lead time," 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. 13(5), pages 2656-2671, October.
    17. A. K. Manna & B. Das & J. K. Dey & S. K. Mondal, 2018. "An EPQ model with promotional demand in random planning horizon: population varying genetic algorithm approach," Journal of Intelligent Manufacturing, Springer, vol. 29(7), pages 1515-1531, October.
    18. Noura Yassine, 2020. "A sustainable economic production model: effects of quality and emissions tax from transportation," Annals of Operations Research, Springer, vol. 290(1), pages 73-94, July.
    19. Nasr, Walid W. & Maddah, Bacel & Salameh, Moueen K., 2013. "EOQ with a correlated binomial supply," International Journal of Production Economics, Elsevier, vol. 144(1), pages 248-255.
    20. Subhendu Ruidas & Mijanur Rahaman Seikh & Prasun Kumar Nayak, 2020. "An EPQ model with stock and selling price dependent demand and variable production rate in interval 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. 11(2), pages 385-399, April.

    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:11:y:2023:i:18:p:3986-:d:1243447. 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.