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A Comparative Study on Replenishment Policies for Perishable Inventory System with Service Facility and Multiple Server Vacation

Author

Listed:
  • V. Radhamani

    (J. K. K. Nataraja College of Arts and Science)

  • B. Sivakumar

    (Madurai Kamaraj University)

  • G. Arivarignan

    (Manonmaniam Sundaranar University)

Abstract

In the continuous review inventory systems the most widely used ordering policy is (s, S) policy, also known as Two-Bin policy. In the case when the stocked items can perish, fail, or become useless after a random time, this policy may not be optimal, as after placement of an order more items may perish with less number of demands during the lead time. If we allow vacation of server when no-customer or no-item in the system, the replenished stock at the end of vacation, may be lower than the reorder level, viz., s. This calls for the placement of additional order and we propose to place order (1) of fixed size, (2) that replenishes the stock to full capacity, or (3) of variable size depending on the level at the time of ordering. An attempt has been made in this paper to make a comparative study of these policies under a broad set-up consisting of MAP arrivals for both regular customers and for negative customers, random life time for items, single server, infinite waiting hall, multiple (one-after-another) vacations of random length, random service time and random lead time. After deriving the necessary equations (in steady state) for various measures of system performance, an extensive numerical study is provided.

Suggested Citation

  • V. Radhamani & B. Sivakumar & G. Arivarignan, 2022. "A Comparative Study on Replenishment Policies for Perishable Inventory System with Service Facility and Multiple Server Vacation," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 229-265, March.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:1:d:10.1007_s12597-021-00540-6
    DOI: 10.1007/s12597-021-00540-6
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    References listed on IDEAS

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    1. Steven Nahmias, 2011. "Perishable Inventory Systems," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-7999-5, December.
    2. C. Suganya & B. Sivakumar, 2019. "MAP/PH (1), PH (2)/2 finite retrial inventory system with service facility, multiple vacations for servers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 15(3), pages 265-295.
    3. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    4. J. Sebastian Arockia Jenifer & B. Sivakumar, 2019. "A continuous review ( s , S ) inventory system with postponed demands at service facility," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 13(1), pages 1-28.
    5. Evan L. Porteus, 1985. "Numerical Comparisons of Inventory Policies for Periodic Review Systems," Operations Research, INFORMS, vol. 33(1), pages 134-152, February.
    6. M. Keerthana & N. Saranya & B. Sivakumar, 2020. "A stochastic queueing - inventory system with renewal demands and positive lead time," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 14(4), pages 443-484.
    7. Yadavalli, V.S.S. & Sivakumar, B. & Arivarignan, G., 2008. "Inventory system with renewal demands at service facilities," International Journal of Production Economics, Elsevier, vol. 114(1), pages 252-264, July.
    8. M. Rajkumar & C. Alexander & G. Arivarignan, 2014. "A Markovian inventory system with retrial and impatient customers," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 21(2), pages 155-171.
    9. N. Saranya & A. Shophia Lawrence, 2019. "A stochastic inventory system with replacement of perishable items," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 563-582, June.
    10. Jacob K. Daniel & R. Ramanarayanan, 1988. "An (s,S) inventory system with rest periods to the server," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 119-123, February.
    11. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    12. M. Rajkumar, 2014. "An (s, S) retrial inventory system with impatient and negative customers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 6(1), pages 106-122.
    13. 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.
    14. I. Padmavathi & B. Sivakumar & G. Arivarignan, 2015. "A retrial inventory system with single and modified multiple vacation for server," Annals of Operations Research, Springer, vol. 233(1), pages 335-364, October.
    15. Hilal Al Hamadi & N. Sangeetha & B. Sivakumar, 2015. "Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers," Annals of Operations Research, Springer, vol. 233(1), pages 3-23, October.
    16. Artalejo, J. R., 2000. "G-networks: A versatile approach for work removal in queueing networks," European Journal of Operational Research, Elsevier, vol. 126(2), pages 233-249, October.
    17. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    18. Forsberg, Rolf, 1995. "Optimization of order-up-to-S policies for two-level inventory systems with compound Poisson demand," European Journal of Operational Research, Elsevier, vol. 81(1), pages 143-153, February.
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