IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v47y2016i2d10.1007_s13226-016-0192-5.html
   My bibliography  Save this article

GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time

Author

Listed:
  • A. Krishnamoorthy

    (Cochin University of Science and Technology)

  • Dhanya Shajin

    (Cochin University of Science and Technology)

  • B. Lakshmy

    (Cochin University of Science and Technology)

Abstract

In this paper we analyze two single server queueing-inventory systems in which items in the inventory have a random common life time. On realization of common life time, all customers in the system are flushed out. Subsequently the inventory reaches its maximum level S through a (positive lead time) replenishment for the next cycle which follows an exponential distribution. Through cancellation of purchases, inventory gets added until their expiry time; where cancellation time follows exponential distribution. Customers arrive according to a Poisson process and service time is exponentially distributed. On arrival if a customer finds the server busy, then he joins a buffer of varying size. If there is no inventory, the arriving customer first try to queue up in a finite waiting room of capacity K. Finding that at full, he joins a pool of infinite capacity with probability γ (0

Suggested Citation

  • A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(2), pages 357-388, June.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:2:d:10.1007_s13226-016-0192-5
    DOI: 10.1007/s13226-016-0192-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-016-0192-5
    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/s13226-016-0192-5?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. A. Krishnamoorthy & T. G. Deepak & Viswanath C. Narayanan & K. Vineetha, 2006. "Effective utilization of idle time in an ( s , S ) inventory with positive service tim," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-13, September.
    2. T. Deepak & V. Joshua & A. Krishnamoorthy, 2004. "Queues with postponed work," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 375-398, December.
    3. O. Berman & K.P. Sapna, 2002. "Optimal service rates of a service facility with perishable inventory items," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 464-482, August.
    4. Maike Schwarz & Hans Daduna, 2006. "Queueing systems with inventory management with random lead times and with backordering," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 383-414, December.
    5. Krishnamoorthy, A. & Viswanath, Narayanan C., 2013. "Stochastic decomposition in production inventory with service time," European Journal of Operational Research, Elsevier, vol. 228(2), pages 358-366.
    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. S. Dissa & P. V. Ushakumari, 2024. "Two commodity perishable queueing inventory system with random common lifetime of commodities and positive lead time," OPSEARCH, Springer;Operational Research Society of India, vol. 61(2), pages 809-834, June.
    2. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.

    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. A. Krishnamoorthy & R. Manikandan & B. Lakshmy, 2015. "A revisit to queueing-inventory system with positive service time," Annals of Operations Research, Springer, vol. 233(1), pages 221-236, October.
    2. Dhanya Shajin & A. Krishnamoorthy & A. N. Dudin & Varghese C. Joshua & Varghese Jacob, 2020. "On a queueing-inventory system with advanced reservation and cancellation for the next K time frames ahead: the case of overbooking," Queueing Systems: Theory and Applications, Springer, vol. 94(1), pages 3-37, February.
    3. Dhanya Shajin & A. Krishnamoorthy & R. Manikandan, 2022. "On a queueing-inventory system with common life time and Markovian lead time process," Operational Research, Springer, vol. 22(1), pages 651-684, March.
    4. Achyutha Krishnamoorthy & Srinivas R. Chakravarthy & Agassi Melikov & Viswanath C. Narayanan, 2024. "Queueing-inventory: analytical and simulation modeling and classical and retrial queues and inventory," Annals of Operations Research, Springer, vol. 340(2), pages 1221-1224, September.
    5. Dhanya Shajin & Jaison Jacob & A. Krishnamoorthy, 2022. "On a queueing inventory problem with necessary and optional inventories," Annals of Operations Research, Springer, vol. 315(2), pages 2089-2114, August.
    6. Dhanya Shajin & A. Krishnamoorthy, 2021. "On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time," Operational Research, Springer, vol. 21(2), pages 1229-1253, June.
    7. Jung Woo Baek, 2024. "On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed," Mathematics, MDPI, vol. 12(2), pages 1-19, January.
    8. Baek, Jung Woo & Bae, Yun Han, 2022. "A queuing-inventory model for manufacturing systems with fluid-type inventory," Omega, Elsevier, vol. 111(C).
    9. S. R. Chakravarthy & Arunava Maity & U. C. Gupta, 2017. "An ‘(s, S)’ inventory in a queueing system with batch service facility," Annals of Operations Research, Springer, vol. 258(2), pages 263-283, November.
    10. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    11. A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "On a queueing-inventory with reservation, cancellation, common life time and retrial," Annals of Operations Research, Springer, vol. 247(1), pages 365-389, December.
    12. Dhanya Shajin & Achyutha Krishnamoorthy & Agassi Z. Melikov & Janos Sztrik, 2022. "Multi-Server Queuing Production Inventory System with Emergency Replenishment," Mathematics, MDPI, vol. 10(20), pages 1-24, October.
    13. Yuying Zhang & Dequan Yue & Wuyi Yue, 2022. "A queueing-inventory system with random order size policy and server vacations," Annals of Operations Research, Springer, vol. 310(2), pages 595-620, March.
    14. Agassi Melikov & Ramil Mirzayev & Janos Sztrik, 2023. "Double-Sources Queuing-Inventory Systems with Finite Waiting Room and Destructible Stocks," Mathematics, MDPI, vol. 11(1), pages 1-16, January.
    15. Youseef Alotaibi, 2016. "Business process modelling challenges and solutions: a literature review," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 701-723, August.
    16. I. Padmavathi & A. Shophia Lawrence & B. Sivakumar, 2016. "A finite-source inventory system with postponed demands and modified M vacation policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(1), pages 41-62, March.
    17. Kangzhou Wang & Shouchang Chen & Zhibin Jiang & Weihua Zhou & Na Geng, 2021. "Capacity Allocation of an Integrated Production and Service System," Production and Operations Management, Production and Operations Management Society, vol. 30(8), pages 2765-2781, August.
    18. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).
    19. Mahmut Parlar & David Perry & Wolfgang Stadje, 2011. "FIFO Versus LIFO Issuing Policies for Stochastic Perishable Inventory Systems," Methodology and Computing in Applied Probability, Springer, vol. 13(2), pages 405-417, June.
    20. Zhao, Ning & Lian, Zhaotong, 2011. "A queueing-inventory system with two classes of customers," International Journal of Production Economics, Elsevier, vol. 129(1), pages 225-231, January.

    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:indpam:v:47:y:2016:i:2:d:10.1007_s13226-016-0192-5. 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.