2023
DOI: 10.3390/math11234854
|View full text |Cite
|
Sign up to set email alerts
|

Queueing-Inventory Systems with Catastrophes under Various Replenishment Policies

Serife Ozkar,
Agassi Melikov,
Janos Sztrik

Abstract: We discuss two queueing-inventory systems with catastrophes in the warehouse. Catastrophes occur according to the Poisson process and instantly destroy all items in the inventory. The arrivals of the consumer customers follow a Markovian arrival process and they can be queued in an infinite buffer. The service time of a consumer customer follows a phase-type distribution. The system receives negative customers which have Poisson flows and as soon as a negative customer comes into the system, he causes a consum… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 43 publications
0
1
0
Order By: Relevance
“…Simultaneously, Melikov et al [27] and Ozkar et al [28] have advanced queuinginventory system modeling by considering negative customers and warehouse catastrophes. Melikov et al's single-server QIS model, using Markovian arrival processes and Phase-Type distribution, diverges from traditional approaches by combining varied replenishment policies.…”
Section: Literature Review and Motivationmentioning
confidence: 99%
“…Simultaneously, Melikov et al [27] and Ozkar et al [28] have advanced queuinginventory system modeling by considering negative customers and warehouse catastrophes. Melikov et al's single-server QIS model, using Markovian arrival processes and Phase-Type distribution, diverges from traditional approaches by combining varied replenishment policies.…”
Section: Literature Review and Motivationmentioning
confidence: 99%