| Title: |
A TWO-STATE FEEDBACK RETRIAL QUEUEING SYSTEM HAVING TWO HETEROGENEOUS PARALLEL SERVERS AND IMPATIENT CUSTOMERS. |
| Authors: |
Singla, Neelam1 neelgagan2k3@pbi.ac.in, Kaur, Harwinder2 harwinderkaurchahal@gmail.com |
| Source: |
Reliability: Theory & Applications. Jun2023, Vol. 18 Issue 2, p498-512. 15p. |
| Subject Terms: |
*QUEUING theory, *COMPUTER systems |
| Reviews & Products: |
MATLAB (Computer software) |
| Abstract: |
Objective: In the present paper we consider a two-state retrial queueing system with feedback having two heterogeneous parallel servers and impatient customers. Transient state probabilities for exact number of arrivals and departures from the system will be obtained when both, one or none of the servers is busy. Numerical and graphical solutions will also be obtained. Methods: The difference-differential equations governing the system are solved recursively, Laplace transform is then used to obtain the transient state probabilities for exact number of arrivals and departures from the system. Findings: Time dependent probabilities are obtained when both, one and none of the servers is busy. Numerical and Graphical solutions are also obtained using MATLAB programming. Novelty: In past research, models considered arrivals and departures from the orbit whereas in present model arrivals and departures from the system are studied along with the concept of feedback. Applications: This type of model is implemented in computer systems. [ABSTRACT FROM AUTHOR] |
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| Database: |
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