Investigation on inventory replenishment policy for a queueing system with catastrophic failure, negative arrival and discouragement customers

G. Ayyappan & N. Arulmozhi

International Journal of Mathematics in Operational Research2026https://doi.org/10.1504/ijmor.2026.152302article
AJG 1
Weight
0.50

What the paper says

The single queues of inventory systems (IS) with warehouse catastrophes and negative arrivals (NA) occur in the service area were examined in this work. Arriving positive customers (PC) can queue up infinitely to make purchases. Customers in the system are still waiting for stock replenishment after catastrophes even when all of the system's commodities are destroyed. The positive customer that is now getting service from the server is disrupted and removed as a result of the negative arrival. The server is instantly impacted by the breakdown as a result of the negative customer's arrival. After examining queueing inventory system's stability conditions, busy period, and the transition probability vector was calculated using the matrix-analytic method. The results of numerical assessments have been presented together with formulas for performance measures.

Open paper page →

Cite this paper

https://doi.org/https://doi.org/10.1504/ijmor.2026.152302

Or copy a formatted citation

@article{g.2026,
  title        = {{Investigation on inventory replenishment policy for a queueing system with catastrophic failure, negative arrival and discouragement customers}},
  author       = {G. Ayyappan & N. Arulmozhi},
  journal      = {International Journal of Mathematics in Operational Research},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1504/ijmor.2026.152302},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Investigation on inventory replenishment policy for a queueing system with catastrophic failure, negative arrival and discouragement customers

Flags are reviewed by the Arbiter methodology team within 5 business days.


Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.