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Autor
Medhi Pallabi (Gauhati University, Guwahati, India)
Tytuł
Modelling Customers' Impatience with Discouraged Arrival and Retention of Reneging
Źródło
Operations Research and Decisions, 2021, vol. 31, no. 3, s. 67-88, tab., bibliogr. 22 poz.
Słowa kluczowe
Procesy Markowa, Prawdopodobieństwo, Analiza wrażliwości
Markov process, Probability, Sensitivity analysis
Uwagi
summ.
Abstrakt
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)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Pełny tekst
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Bibliografia
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  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.
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  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.
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  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.
Cytowane przez
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ISSN
2081-8858
Język
eng
URI / DOI
http://dx.doi.org/10.37190/ord210304
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