Abstract
In the paper, a finite-capacity queueing model is considered in which jobs arrive according to a Poisson process and are being served according to hyper-exponential service times. A system of equations for the time-sensitive queue-size distribution is established by applying the paradigm of embedded Markov chain and total probability law. The solution of the corresponding system written for Laplace transforms is obtained via an algebraic approach in a compact form. Numerical illustration results are attached as well.
| Original language | English |
|---|---|
| Article number | 9909 |
| Journal | Sensors |
| Volume | 22 |
| Issue number | 24 |
| DOIs | |
| Publication status | Published - Dec 2022 |
Keywords
- digital twin
- disassembly sequencing
- end-of-line product
- finite capacity
- hyper-exponential distribution
- queue-size distribution
- transient analysis
ASJC Scopus subject areas
- Analytical Chemistry
- Information Systems
- Atomic and Molecular Physics, and Optics
- Biochemistry
- Instrumentation
- Electrical and Electronic Engineering
Fingerprint
Dive into the research topics of 'Transient Behavior of a Queueing Model with Hyper-Exponentially Distributed Processing Times and Finite Buffer Capacity'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver