Two-commodity queueing-inventory system with phase-type distribution of service times

Ozkar, Serife

doi:10.1007/s10479-022-04865-3

Search citation statements

Order By: Relevance

Paper Sections

Select...

Funding1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(2 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To find the function ϑ (n k , n l ) (see (6)), which transforms a pair of numbers n k , n l , characterizing the state of the system, into the column number of the matrix…”

Section: Fundingmentioning

confidence: 99%

See 1 more Smart Citation

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Vishnevsky,

Vytovtov,

Barabanova

2024

ARC

View full text Add to dashboard Cite

The transient mode of a two-phase queuing system with a Poisson input flow, exponential distribution of service time in each phase, and a limitation on the total buffer size of the two phases is considered. Nonstationary probabilities of system states are found using the Laplace transform. A numerical calculation and analysis of the system performance characteristics in transient mode with parameters corresponding to new-generation optical networks were carried out.

show abstract

“…To find the function ϑ (n k , n l ) (see (6)), which transforms a pair of numbers n k , n l , characterizing the state of the system, into the column number of the matrix…”

Section: Fundingmentioning

confidence: 99%

“…Moreover, the stationary operation mode of such systems is well studied both for the case of Poisson and correlated input flow. Let us note only some recent works on this topic [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%