دانشگاه گیلان
معاونت پژوهش و فناوری دانشگاه گیلان
انتشارات دانشگاه گیلان

 آمار

تعداد نشریات31
تعداد شماره‌ها743
تعداد مقالات7,071
تعداد مشاهده مقاله10,137,480
تعداد دریافت فایل اصل مقاله6,854,906
Govindan, Ayyappan, Marimuthu, Nirmala. (1397). An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy. فیزیولوژی و بیوتکنولوژی آبزیان, 6(2), 213-238. doi: 10.22124/jmm.2018.10344.1156
Ayyappan Govindan; Nirmala Marimuthu. "An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy". فیزیولوژی و بیوتکنولوژی آبزیان, 6, 2, 1397, 213-238. doi: 10.22124/jmm.2018.10344.1156
Govindan, Ayyappan, Marimuthu, Nirmala. (1397). 'An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy', فیزیولوژی و بیوتکنولوژی آبزیان, 6(2), pp. 213-238. doi: 10.22124/jmm.2018.10344.1156
Govindan, Ayyappan, Marimuthu, Nirmala. An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy. فیزیولوژی و بیوتکنولوژی آبزیان, 1397; 6(2): 213-238. doi: 10.22124/jmm.2018.10344.1156

An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy

Journal of Mathematical Modeling
مقاله 7، دوره 6، شماره 2، اسفند 2018، صفحه 213-238    اصل مقاله (414.55 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2018.10344.1156
نویسندگان
Ayyappan Govindan؛ Nirmala Marimuthu*
Department of Mathematics, Pondicherry Engineering College, Puducherry, India
چکیده
This paper deals with a non-Markovian batch arrival bulk service queue with unreliable server, re-service on server's decision, Bernoulli vacation schedule under multiple vacation and balking. We consider that the server is unreliable and may stop working due to failure. When this happens, the service is interrupted and restarted after repair. The service time, vacation time, re-service time and repair time assume to follow a general (arbitrary) distribution. In the proposed model, we derived the probability distribution of queue size at a random and departure epoch using supplementary variable techniques. Finally, some performance measures, particular cases and numerical results are obtained.
کلیدواژه‌ها
General bulk service؛ Non-Markovian queue؛ Breakdown and repair؛ Bernoulli vacation؛ Multiple vacation؛ Balking؛ re-service
آمار
تعداد مشاهده مقاله: 811
تعداد دریافت فایل اصل مقاله: 655


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب