Kasim, Ehmet; Gupur, Geni On existence and asymptotic behavior of the time-dependent solution of the \(\mathrm{M}/\mathrm{G}/1\) queueing model with optional deterministic server vacations. (English) Zbl 1449.60130 Afr. Mat. 31, No. 3-4, 507-537 (2020). MSC: 60K25 47D03 47A10 PDFBibTeX XMLCite \textit{E. Kasim} and \textit{G. Gupur}, Afr. Mat. 31, No. 3--4, 507--537 (2020; Zbl 1449.60130) Full Text: DOI
Yiming, Nurehemaiti; Gupur, Geni Well-posedness and asymptotic behavior of the time-dependent solution of an \(M/G/1\) queueing model. (English) Zbl 1497.47126 J. Pseudo-Differ. Oper. Appl. 10, No. 1, 49-92 (2019). MSC: 47N30 47D03 47A10 60K25 PDFBibTeX XMLCite \textit{N. Yiming} and \textit{G. Gupur}, J. Pseudo-Differ. Oper. Appl. 10, No. 1, 49--92 (2019; Zbl 1497.47126) Full Text: DOI
Yiming, Nurehemaiti; Gupur, Geni Asymptotic behavior of the solution of a queueing system modeled by infinitely many partial differential equations with integral boundary conditions. (English) Zbl 1497.47127 Bound. Value Probl. 2018, Paper No. 166, 31 p. (2018). MSC: 47N30 47D06 47A10 PDFBibTeX XMLCite \textit{N. Yiming} and \textit{G. Gupur}, Bound. Value Probl. 2018, Paper No. 166, 31 p. (2018; Zbl 1497.47127) Full Text: DOI
Kasim, Ehmet; Gupur, Geni Functional analysis method for the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1495.47127 Open Math. 16, 767-791 (2018). MSC: 47N30 47D03 47A10 60K25 PDFBibTeX XMLCite \textit{E. Kasim} and \textit{G. Gupur}, Open Math. 16, 767--791 (2018; Zbl 1495.47127) Full Text: DOI
Kasim, Ehmet; Gupur, Geni Dynamic analysis of the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1397.90117 Int. J. Appl. Comput. Math. 3, No. 4, 2803-2833 (2017). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{E. Kasim} and \textit{G. Gupur}, Int. J. Appl. Comput. Math. 3, No. 4, 2803--2833 (2017; Zbl 1397.90117) Full Text: DOI
Kasim, Ehmet; Gupur, Geni Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption. (English) Zbl 1394.47073 Afr. Mat. 28, No. 7-8, 1327-1348 (2017). MSC: 47N10 47D06 90B22 PDFBibTeX XMLCite \textit{E. Kasim} and \textit{G. Gupur}, Afr. Mat. 28, No. 7--8, 1327--1348 (2017; Zbl 1394.47073) Full Text: DOI
Gupur, Geni Point spectrum of the operator corresponding to a reliability model and application. (English) Zbl 1353.47078 J. Pseudo-Differ. Oper. Appl. 7, No. 3, 411-429 (2016). MSC: 47D06 47N10 90B25 PDFBibTeX XMLCite \textit{G. Gupur}, J. Pseudo-Differ. Oper. Appl. 7, No. 3, 411--429 (2016; Zbl 1353.47078) Full Text: DOI
Kasim, Ehmet; Gupur, Geni Spectral properties of the \(M^{[X]}/G/1\) operator and its application. (English) Zbl 1217.47142 J. Pseudo-Differ. Oper. Appl. 2, No. 2, 219-287 (2011). MSC: 47N10 47D03 47A10 60K25 90B22 PDFBibTeX XMLCite \textit{E. Kasim} and \textit{G. Gupur}, J. Pseudo-Differ. Oper. Appl. 2, No. 2, 219--287 (2011; Zbl 1217.47142) Full Text: DOI
Gupur, Geni; Kasim, Ehmet Time-dependent analysis for the \(M^{[X]}/G/1\) retrial queueing model with server breakdowns and constant rate of repeated attempts. (English) Zbl 1222.47137 Int. J. Pure Appl. Math. 63, No. 4, 419-441 (2010). MSC: 47N10 47D06 60K25 90B22 PDFBibTeX XMLCite \textit{G. Gupur} and \textit{E. Kasim}, Int. J. Pure Appl. Math. 63, No. 4, 419--441 (2010; Zbl 1222.47137)
Gupur, Geni Analysis of the M/G/1 retrial queueing model with server breakdowns. (English) Zbl 1213.90088 J. Pseudo-Differ. Oper. Appl. 1, No. 3, 313-340 (2010). Reviewer: Moshe Shaked (Tucson) MSC: 90B22 60K25 47N10 47A10 47D06 PDFBibTeX XMLCite \textit{G. Gupur}, J. Pseudo-Differ. Oper. Appl. 1, No. 3, 313--340 (2010; Zbl 1213.90088) Full Text: DOI
Helil, Muyidin; Gupur, Geni; Ehmet, Rena Semigroup approach of a repairable queueing system with three kinds of states. (English) Zbl 1202.47048 Int. J. Pure Appl. Math. 50, No. 3, 309-342 (2009). Reviewer: Evsei Morozov (Petrozavodsk) MSC: 47D03 60K25 60K20 90B25 PDFBibTeX XMLCite \textit{M. Helil} et al., Int. J. Pure Appl. Math. 50, No. 3, 309--342 (2009; Zbl 1202.47048)
Gupur, Geni Asymptotic stability of the time-dependent solution of a reliability model. (English) Zbl 1137.90447 Acta Anal. Funct. Appl. 7, No. 4, 299-316 (2005). MSC: 90B25 35B35 47D06 62N05 PDFBibTeX XMLCite \textit{G. Gupur}, Acta Anal. Funct. Appl. 7, No. 4, 299--316 (2005; Zbl 1137.90447)
Gupur, Geni Well-posedness of the model describing a repairable standby, human and machine system. (English) Zbl 1092.45002 J. Syst. Sci. Complex. 16, No. 4, 483-493 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 45J05 34G10 90B25 PDFBibTeX XMLCite \textit{G. Gupur}, J. Syst. Sci. Complex. 16, No. 4, 483--493 (2003; Zbl 1092.45002)
Gupur, Geni Well-posedness of a reliability model. (English) Zbl 1052.47069 Acta Anal. Funct. Appl. 5, No. 3, 193-209 (2003). MSC: 47N10 47D06 90B30 90B25 PDFBibTeX XMLCite \textit{G. Gupur}, Acta Anal. Funct. Appl. 5, No. 3, 193--209 (2003; Zbl 1052.47069)
Gupur, Geni An eigenvalue of exhaustive-service \(M/M/1\) queueing model with single vacations. (English) Zbl 1056.47059 Int. J. Differ. Equ. Appl. 7, No. 2, 211-237 (2003). Reviewer: Andreas Brandt (Berlin) MSC: 47N10 90B22 47A10 60K25 PDFBibTeX XMLCite \textit{G. Gupur}, Int. J. Differ. Equ. Appl. 7, No. 2, 211--237 (2003; Zbl 1056.47059)
Gupur, Geni; Guo, Bao-Zhu Asymptotic property of the solution of exhaustive-service \(M/M/1\) queueing model with single vacations. (English) Zbl 1056.47060 Int. J. Differ. Equ. Appl. 6, No. 1, 29-51 (2002). Reviewer: Andreas Brandt (Berlin) MSC: 47N10 90B22 47A10 60K25 PDFBibTeX XMLCite \textit{G. Gupur} and \textit{B.-Z. Guo}, Int. J. Differ. Equ. Appl. 6, No. 1, 29--51 (2002; Zbl 1056.47060)
Gupur, Geni Semigroup method for M/G/1 queueing system with exceptional service time for the first customer in each busy period. (English) Zbl 1043.47050 Indian J. Math. 44, No. 2, 125-146 (2002). MSC: 47N10 47D06 90B22 60K25 PDFBibTeX XMLCite \textit{G. Gupur}, Indian J. Math. 44, No. 2, 125--146 (2002; Zbl 1043.47050)
Gupur, G. Well-posedness of M/G/1 queueing model with single vacations. (English) Zbl 1038.60089 Comput. Math. Appl. 44, No. 8-9, 1041-1056 (2002). Reviewer: O. K. Zakusilo (Kyïv) MSC: 60K25 60J35 PDFBibTeX XMLCite \textit{G. Gupur}, Comput. Math. Appl. 44, No. 8--9, 1041--1056 (2002; Zbl 1038.60089) Full Text: DOI
Li, Xuezhi; Gupur, Geni; Zhu, Guangtian Existence and uniqueness of endemic states for the age-structured MSEIR epidemic model. (English) Zbl 1157.92325 Acta Math. Appl. Sin., Engl. Ser. 18, No. 3, 441-454 (2002). MSC: 92D30 35Q92 47D06 47N60 47D60 PDFBibTeX XMLCite \textit{X. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 18, No. 3, 441--454 (2002; Zbl 1157.92325) Full Text: DOI
Zhu, Guangtian; Gupur, Geni The spectral properties of M/M/1 operator. (Chinese. English summary) Zbl 0963.90021 Control Theory Appl. 16, Suppl., 55-61 (1999). MSC: 90B22 47N10 47D03 PDFBibTeX XMLCite \textit{G. Zhu} and \textit{G. Gupur}, Control Theory Appl. 16, 55--61 (1999; Zbl 0963.90021)