Year 2019, Volume 7 , Issue 2, Pages 205 - 217 2019-10-15

On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience

Meriem ELHADDAD [1] , Faiza LİMAM-BELARBİ [2]


 This paper concerns an approximate analysis of a Markovian multiserver infinite source retrial queuing with impatience, in which all the servers are subject to breakdown and
repairs. Customer who find the total number of busy and failed servers equal to $s$,i.e, he is given to choice to enter a retrial orbit for an random amount of time before attempting to
reccess an available server or enter the queue of size $q$. Customer waiting in the queue start being served as an idle or repaired server assigned to them, they can also leave the queue and enter orbit due to impatience. Customers whose service is interrupted by a failure may have the option of leaving the system entirely or returning to the orbit to repeat or resume service. We assume that each server has its own dedicated repair person, and repairs begin immediately following a failure and all process are assumed to be mutually independent.

The simultaneous effect of customer balking, impatience and retrials is analyzed.  We try  to approximate the steady-state joint distribution of the number of customers in orbit and  the
number of customers in the service area using a phase-merging Algorithm.
Retrial queue, Multi server, Impatient, Breakdown and repair of service, Phase merging algorithm
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Primary Language en
Journal Section Articles
Authors

Author: Meriem ELHADDAD

Author: Faiza LİMAM-BELARBİ

Dates

Publication Date : October 15, 2019

Bibtex @research article { mathenot634506, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2019}, volume = {7}, pages = {205 - 217}, doi = {10.36753/mathenot.634506}, title = {On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience}, key = {cite}, author = {ELHADDAD, Meriem and LİMAM-BELARBİ, Faiza} }
APA ELHADDAD, M , LİMAM-BELARBİ, F . (2019). On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience. Mathematical Sciences and Applications E-Notes , 7 (2) , 205-217 . DOI: 10.36753/mathenot.634506
MLA ELHADDAD, M , LİMAM-BELARBİ, F . "On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience". Mathematical Sciences and Applications E-Notes 7 (2019 ): 205-217 <https://dergipark.org.tr/en/pub/mathenot/issue/49271/634506>
Chicago ELHADDAD, M , LİMAM-BELARBİ, F . "On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience". Mathematical Sciences and Applications E-Notes 7 (2019 ): 205-217
RIS TY - JOUR T1 - On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience AU - Meriem ELHADDAD , Faiza LİMAM-BELARBİ Y1 - 2019 PY - 2019 N1 - doi: 10.36753/mathenot.634506 DO - 10.36753/mathenot.634506 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 205 EP - 217 VL - 7 IS - 2 SN - -2147-6268 M3 - doi: 10.36753/mathenot.634506 UR - https://doi.org/10.36753/mathenot.634506 Y2 - 2020 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience %A Meriem ELHADDAD , Faiza LİMAM-BELARBİ %T On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience %D 2019 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 7 %N 2 %R doi: 10.36753/mathenot.634506 %U 10.36753/mathenot.634506
ISNAD ELHADDAD, Meriem , LİMAM-BELARBİ, Faiza . "On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience". Mathematical Sciences and Applications E-Notes 7 / 2 (October 2019): 205-217 . https://doi.org/10.36753/mathenot.634506
AMA ELHADDAD M , LİMAM-BELARBİ F . On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience. Math. Sci. Appl. E-Notes. 2019; 7(2): 205-217.
Vancouver ELHADDAD M , LİMAM-BELARBİ F . On the Analysis of Unreliable Markovian Multiserver Queue with Retrials and Impatience. Mathematical Sciences and Applications E-Notes. 2019; 7(2): 217-205.