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An (s,S) inventory system with rest periods to the server

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  • Jacob K. Daniel
  • R. Ramanarayanan

Abstract

We study the (s,S) inventory system in which the server takes a rest when the level of the inventory is zero. The demands are assumed to occur for one unit at a time. The interoccurrence times between successive demands, the lead times, and the rest times are assumed to follow general distributions which are mutually independent. Using renewal and convolution techniques we obtain the state transition probabilities.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:119-123
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-P
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    References listed on IDEAS

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    1. Michel Scholl & Leonard Kleinrock, 1983. "On the M / G /1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines," Operations Research, INFORMS, vol. 31(4), pages 705-719, August.
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    Cited by:

    1. Jeganathan, K. & Abdul Reiyas, M. & Prasanna Lakshmi, K. & Saravanan, S., 2019. "Two server Markovian inventory systems with server interruptions: Heterogeneous vs. homogeneous servers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 177-200.
    2. 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.
    3. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Continuous‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 154-169, January.
    4. 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.
    5. 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.
    6. M. Nithya & Gyanendra Prasad Joshi & C. Sugapriya & S. Selvakumar & N. Anbazhagan & Eunmok Yang & Ill Chul Doo, 2022. "Analysis of Stochastic State-Dependent Arrivals in a Queueing-Inventory System with Multiple Server Vacation and Retrial Facility," Mathematics, MDPI, vol. 10(17), pages 1-29, August.

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