Warianty tytułu
Języki publikacji
Abstrakty
The paper presents stochastic modelling of a single server, finite buffer Markovian queueing system with discouraged arrivals, baulking, reneging, and retention of reneged customers. The Markov process is used to derive the steady-state solution of the model. Closed-form expressions using probability generating functions (PGFs) are derived and presented for both classical and novel performance measures. In addition, a sensitivity analysis is carried out to study the effect of the system parameters on performance measures. A numerical problem is also presented to demonstrate the derived results and some design aspects. (original abstract)
Czasopismo
Rocznik
Tom
Numer
Strony
67--88
Opis fizyczny
Twórcy
autor
- Gauhati University, Guwahati, India
Bibliografia
- [1] AMMAR S.I., EL-SHERBINY A.A., AL-SEEDY R.O., A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging, Int. J. Comp. Math., 2012, 89, 482-491, DOI: 10.1080/00207160.2011.637553.
- [2] AWASTHI B., Performance analysis of M/M/1/k finite capacity queuing model with reverse balking and reverse reneging, J. Comp. Math. Sci., 2018, 9 (7), 850-855.
- [3] BOUCHENTOUF A.A., MESSABIHI A., Heterogeneous two server queuing system with reverse baulking and reneging, OPSERCH, 2018, 55, 251-267, DOI: 10.1007/s12597-017-0319-4.
- [4] BOUCHENTOUF A.A., GUENDOUZI A., The MX/M/c Bernoulli feedback queue with variant multiple working vacations and impatient custom ers: performance and economic analysis , Arab. J. Math., 2020, 9, 309-327, DOI: 10.1007/s40065-019-0260-x.
- [5] BOUCHENTOUF A.A., YAHIAOUI L., KADI M., MAJID S., Impatient customers in Markovian queue with Bernoulli feedback and waiting server variant working vacation policy, Oper. Res. Dec., 2020, 30 (4), 6-28, DOI: 10.37190/ord200401.
- [6] BOUCHENTOUF A.A., YAHIAOUI L., On feedback queueing system with reneging and retention of reneged customers, multiple working vacations and Bernoulli schedule vacation interruption, Arab. J. Math., 2017, 6, 1-11, DOI: 10.1007/s40065-016-0161-1.
- [7] EL-PAOUMY M.S., NABWEY H.A., The Poissonian queue with baulking function, reneging and two heterogeneous servers, Int. J. Basic Appl. Sci., 2011, 11 (6), 149-152.
- [8] FAZLOLLAHTABAR H., GHOLIZADEH H., Economic analysis of the M/M/1/N queuing system cost model in a vague environment, Int. J. Fuzzy Logic Int. Syst., 2019, 19 (3), 192-203, DOI: 10.5391/IJFIS.2019.19.3.192.
- [9] HAIGHT F.A., Queuing with baulking, Biometrika, 1957, 44, 360-369, DOI: 10.1093/biomet/44.3-4.360.
- [10] JAIN N.K., KUMAR R., SOM B.K., An M/M/1/N queuing system with reverse baulking, Am. J. Oper. Res., 2014, 2 (2), 17-20, https://www.ripublication.com/gjpam17/gjpamv13n7_49.pdf
- [11] KORDASIABI M.C., GHOLIZADEH H., FAZLOLLAHTABAR H., JAVADIAN N., Analysis of cost model with queuing system under uncertainty, J. Ind. Prod. Eng., 2020, DOI: 10.1080/21681015.2020.1797911.
- [12] KUMAR R., SHARMA S.K., A multi-server Markovian queuing system with discouraged arrivals and retention of reneged customers, Int. J. Oper. Res., 2012, 9 (4), 173-184.
- [13] KUMAR R., SOM B.K., JAIN S., An M/M/1/N feedback queuing system with reverse baulking, J. Rel. Stat. Stud., 2015, 8 (1), 31-38, http://www.jrss.in.net/assets/8104.pdf
- [14] KUMAR R., SHARMA S.K., Two heterogeneous server Markovian queuing model with discouraged arrival, reneging and retenti on of reneged customers, Int. J. Oper. Res., 2014, 11 (2), 64-68, http://orstw.org.tw/IJOR/vol11no2/IJOR2014_vol11_no2_p064_p068.pdf
- [15] KUMAR R., SHARMA S.K., A single server Markovian queuing system with discouraged arrival and retention of reneged customers, Yugoslav J. Oper. Res., 2014, 1, 119-126, DOI: 10.2298/YJOR120911019K.
- [16] MEDHI P., CHOUDHURY A., Aspects of impatience in a finite buffer queue, RAIRO Oper. Res., 2012, 46 (3), 189-209, DOI: 10.1051/ro/2012014.
- [17] MEDHI J., Stochastic Processes, 2nd Ed., New Age International (P), Ltd., 1994.
- [18] NATVIG B., On a queueing model where potential customers are discouraged by queue length, Scand. J. Stat., 1975, 2, 34-42.
- [19] RASHEED K.V.A., MANOHARAN M., Markovian queueing system with discouraged arrivals and self-regulatory servers, Adv. Oper. Res., 2016, 1-11, DOI: 10.1155/2016/2456135.
- [20] SAIKIA G., MEDHI P., CHOUDHURY A., Analyzing impatience in multiserver Markovian queues, Int. J. Suppl. Oper. Manage., 2020, 7, 310-321, DOI: 10.22034/IJSOM.2020.4.2.
- [21] SOM B.K., KUMAR R., A heterogeneous queuing system w ith reverse baulking and reneging, J. Ind. Prod. Eng., 2017, 2 (2), 1-5, DOI: 10.1080/21681015.2017.1297739.
- [22] TAHA H.A., Operations Research, 5th Ed., Prentice Hall of India Private Limited, 2003.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171636196