Furman, Edward; Kye, Yisub; Su, Jianxi Multiplicative background risk models: setting a course for the idiosyncratic risk factors distributed phase-type. (English) Zbl 07324190 Insur. Math. Econ. 96, 153-167 (2021). MSC: 91G05 91G45 PDF BibTeX XML Cite \textit{E. Furman} et al., Insur. Math. Econ. 96, 153--167 (2021; Zbl 07324190) Full Text: DOI
Ruiz-Castro, Juan E.; Acal, Christian; Aguilera, Ana M.; Aguilera-Morillo, M. Carmen; Roldán, Juan B. Linear-phase-type probability modelling of functional PCA with applications to resistive memories. (English) Zbl 07318345 Math. Comput. Simul. 186, 71-79 (2021). MSC: 62P 68M 62N PDF BibTeX XML Cite \textit{J. E. Ruiz-Castro} et al., Math. Comput. Simul. 186, 71--79 (2021; Zbl 07318345) Full Text: DOI
Chen, Yu-Ting; Lee, Cheng Few; Sheu, Yuan-Chung An ODE approach for the expected discounted penalty at ruin in a jump-diffusion model. (English) Zbl 1451.91165 Lee, Cheng Few (ed.) et al., Handbook of financial econometrics, mathematics, statistics, and machine learning. Volume 2. Hackensack, NJ: World Scientific. 1561-1598 (2021). MSC: 91G05 60G51 60J74 45J05 PDF BibTeX XML Cite \textit{Y.-T. Chen} et al., in: Handbook of financial econometrics, mathematics, statistics, and machine learning. Volume 2. Hackensack, NJ: World Scientific. 1561--1598 (2021; Zbl 1451.91165) Full Text: DOI
Koutras, Vasileios M.; Koutras, Markos V. Exact distribution of random order statistics and applications in risk management. (English) Zbl 07297570 Methodol. Comput. Appl. Probab. 22, No. 4, 1539-1558 (2020). MSC: 62E15 62G30 60J10 62P05 91B05 91G40 PDF BibTeX XML Cite \textit{V. M. Koutras} and \textit{M. V. Koutras}, Methodol. Comput. Appl. Probab. 22, No. 4, 1539--1558 (2020; Zbl 07297570) Full Text: DOI
Zhang, Zhifang; Liu, Luqin Weibull-discrete phase-type distribution. (Chinese. English summary) Zbl 07295904 J. Wuhan Univ., Nat. Sci. Ed. 66, No. 3, 215-223 (2020). MSC: 62E10 62N05 60E05 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{L. Liu}, J. Wuhan Univ., Nat. Sci. Ed. 66, No. 3, 215--223 (2020; Zbl 07295904) Full Text: DOI
Klüppelberg, Claudia; Seifert, Miriam Isabel Explicit results on conditional distributions of generalized exponential mixtures. (English) Zbl 1454.62066 J. Appl. Probab. 57, No. 3, 760-774 (2020). MSC: 62E10 60E05 60K10 90B25 PDF BibTeX XML Cite \textit{C. Klüppelberg} and \textit{M. I. Seifert}, J. Appl. Probab. 57, No. 3, 760--774 (2020; Zbl 1454.62066) Full Text: DOI
Drisya, M.; Jose, Joby K. Time-dependent stress-strength reliability models with phase-type cycle times. (English) Zbl 1448.60182 Stoch. Qual. Control 35, No. 2, 97-112 (2020). MSC: 60K25 62N05 PDF BibTeX XML Cite \textit{M. Drisya} and \textit{J. K. Jose}, Stoch. Qual. Control 35, No. 2, 97--112 (2020; Zbl 1448.60182) Full Text: DOI
García-Mora, B.; Santamaría, C.; Rubio, G. Markovian modeling for dependent interrecurrence times in bladder cancer. (English) Zbl 1453.92133 Math. Methods Appl. Sci. 43, No. 14, 8302-8310 (2020). MSC: 92C50 60J20 62P10 62N01 PDF BibTeX XML Cite \textit{B. García-Mora} et al., Math. Methods Appl. Sci. 43, No. 14, 8302--8310 (2020; Zbl 1453.92133) Full Text: DOI
Chakravarthy, Srinivas R. A retrial queueing model with thresholds and phase type retrial times. (English) Zbl 07241832 J. Appl. Math. Inform. 38, No. 3-4, 351-373 (2020). MSC: 60K25 60J28 PDF BibTeX XML Cite \textit{S. R. Chakravarthy}, J. Appl. Math. Inform. 38, No. 3--4, 351--373 (2020; Zbl 07241832) Full Text: DOI
Kim, Chesoong; Dudin, Alexander; Dudina, Olga; Klimenok, Valentina Analysis of queueing system with non-preemptive time limited service and impatient customers. (English) Zbl 07241313 Methodol. Comput. Appl. Probab. 22, No. 2, 401-432 (2020). MSC: 68M20 60K25 90B22 PDF BibTeX XML Cite \textit{C. Kim} et al., Methodol. Comput. Appl. Probab. 22, No. 2, 401--432 (2020; Zbl 07241313) Full Text: DOI
Lempa, Jukka Some results on optimal stopping under phase-type distributed implementation delay. (English) Zbl 1453.60092 Math. Methods Oper. Res. 91, No. 3, 559-583 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 60G40 60J25 60J35 PDF BibTeX XML Cite \textit{J. Lempa}, Math. Methods Oper. Res. 91, No. 3, 559--583 (2020; Zbl 1453.60092) Full Text: DOI
Palmowski, Zbigniew; Vatamidou, Eleni Phase-type approximations perturbed by a heavy-tailed component for the Gerber-shiu function of risk processes with two-sided jumps. (English) Zbl 1451.60087 Stoch. Models 36, No. 2, 337-363 (2020). MSC: 60J28 60G70 91G05 PDF BibTeX XML Cite \textit{Z. Palmowski} and \textit{E. Vatamidou}, Stoch. Models 36, No. 2, 337--363 (2020; Zbl 1451.60087) Full Text: DOI
Barde, Stephane; Ko, Young Myoung; Shin, Hayong Fitting discrete phase-type distribution from censored and truncated observations with pre-specified hazard sequence. (English) Zbl 07204103 Oper. Res. Lett. 48, No. 3, 233-239 (2020). MSC: 62 90 PDF BibTeX XML Cite \textit{S. Barde} et al., Oper. Res. Lett. 48, No. 3, 233--239 (2020; Zbl 07204103) Full Text: DOI
Tank, Fatih; Eryilmaz, Serkan On bivariate compound sums. (English) Zbl 1432.62154 J. Comput. Appl. Math. 365, Article ID 112371, 8 p. (2020). MSC: 62H05 60E05 PDF BibTeX XML Cite \textit{F. Tank} and \textit{S. Eryilmaz}, J. Comput. Appl. Math. 365, Article ID 112371, 8 p. (2020; Zbl 1432.62154) Full Text: DOI
Ayyappan, G.; Gowthami, R. Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli schedule vacation, Bernoulli feedback and renege of customers. (English) Zbl 1456.60237 Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 159, 47 p. (2019). MSC: 60K25 68M20 90B22 PDF BibTeX XML Cite \textit{G. Ayyappan} and \textit{R. Gowthami}, Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 159, 47 p. (2019; Zbl 1456.60237) Full Text: DOI
Ajayakumar, Chembra Balan; Krishnamoorthy, Achyutha On a queue with postponed work under \(N\)-policy. (English) Zbl 1455.90033 Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 18th international conference, ITMM 2019, named after A. F. Terpugov, Saratov, Russia, June 26–30, 2019. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1109, 312-326 (2019). MSC: 90B22 60J80 60K25 91A80 PDF BibTeX XML Cite \textit{C. B. Ajayakumar} and \textit{A. Krishnamoorthy}, Commun. Comput. Inf. Sci. 1109, 312--326 (2019; Zbl 1455.90033) Full Text: DOI
Sarada, Y.; Shenbagam, R. On phase type arithmetico-geometric process and its application to deteriorating systems with warranty. (English) Zbl 1452.90153 Int. J. Math. Oper. Res. 14, No. 4, 568-589 (2019). MSC: 90B25 60K10 PDF BibTeX XML Cite \textit{Y. Sarada} and \textit{R. Shenbagam}, Int. J. Math. Oper. Res. 14, No. 4, 568--589 (2019; Zbl 1452.90153) Full Text: DOI
Zhang, Hongbo; Wang, Zheng Infinite phase type representation for queue length distribution of a vacation queue. (Chinese. English summary) Zbl 1449.60138 Appl. Math., Ser. A (Chin. Ed.) 34, No. 3, 287-294 (2019). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Z. Wang}, Appl. Math., Ser. A (Chin. Ed.) 34, No. 3, 287--294 (2019; Zbl 1449.60138) Full Text: DOI
Klimenok, Valentina Ivanovna Multi-server queueing system with reserve servers. (Russian. English summary) Zbl 1436.90034 Zh. Beloruss. Gos. Univ., Mat., Inform. 2019, No. 3, 57-70 (2019). MSC: 90B22 60K25 PDF BibTeX XML Cite \textit{V. I. Klimenok}, Zh. Beloruss. Gos. Univ., Mat., Inform. 2019, No. 3, 57--70 (2019; Zbl 1436.90034) Full Text: Link
Albrecher, Hansjörg; Bladt, Mogens Inhomogeneous phase-type distributions and heavy tails. (English) Zbl 1428.62103 J. Appl. Probab. 56, No. 4, 1044-1064 (2019). MSC: 62F10 60J27 62P05 62M05 60E05 PDF BibTeX XML Cite \textit{H. Albrecher} and \textit{M. Bladt}, J. Appl. Probab. 56, No. 4, 1044--1064 (2019; Zbl 1428.62103) Full Text: DOI arXiv
He, Qi-Ming; Horváth, Gábor; Horváth, Illés; Telek, Miklós Moment bounds of PH distributions with infinite or finite support based on the steepest increase property. (English) Zbl 1427.60039 Adv. Appl. Probab. 51, No. 1, 168-183 (2019). MSC: 60E15 62E15 60J27 PDF BibTeX XML Cite \textit{Q.-M. He} et al., Adv. Appl. Probab. 51, No. 1, 168--183 (2019; Zbl 1427.60039) Full Text: DOI
Ruiz-Castro, Juan Eloy; Dawabsha, M. A discrete MMAP for analysing the behaviour of a multi-state complex dynamic system subject to multiple events. (English) Zbl 1423.90073 Discrete Event Dyn. Syst. 29, No. 1, 1-29 (2019). MSC: 90B25 PDF BibTeX XML Cite \textit{J. E. Ruiz-Castro} and \textit{M. Dawabsha}, Discrete Event Dyn. Syst. 29, No. 1, 1--29 (2019; Zbl 1423.90073) Full Text: DOI
Gu, Wanlu; Fan, Neng; Liao, Haitao Evaluating readmission rates and discharge planning by analyzing the length-of-stay of patients. (English) Zbl 07119443 Ann. Oper. Res. 276, No. 1-2, 89-108 (2019). MSC: 60G 60J 60K PDF BibTeX XML Cite \textit{W. Gu} et al., Ann. Oper. Res. 276, No. 1--2, 89--108 (2019; Zbl 07119443) Full Text: DOI
Saranya, N.; Shophia Lawrence, A. A stochastic inventory system with replacement of perishable items. (English) Zbl 07073405 Opsearch 56, No. 2, 563-582 (2019). MSC: 90B PDF BibTeX XML Cite \textit{N. Saranya} and \textit{A. Shophia Lawrence}, Opsearch 56, No. 2, 563--582 (2019; Zbl 07073405) Full Text: DOI
Dey, Sweta; Deepak, T. G. A matrix analytic approach to study the queuing characteristics of nodes in a wireless network. (English) Zbl 07073401 Opsearch 56, No. 2, 477-496 (2019). MSC: 90B 60J27 60K25 PDF BibTeX XML Cite \textit{S. Dey} and \textit{T. G. Deepak}, Opsearch 56, No. 2, 477--496 (2019; Zbl 07073401) Full Text: DOI
Granville, Kevin; Drekic, Steve On a 2-class polling model with reneging and \(k_i\)-limited service. (English) Zbl 1410.90069 Ann. Oper. Res. 274, No. 1-2, 267-290 (2019). MSC: 90B25 60J80 60G15 PDF BibTeX XML Cite \textit{K. Granville} and \textit{S. Drekic}, Ann. Oper. Res. 274, No. 1--2, 267--290 (2019; Zbl 1410.90069) Full Text: DOI
Wang, Xiaoyue; Zhao, Xian; Sun, Jinglei A compound negative binomial distribution with mutative termination conditions based on a change point. (English) Zbl 1403.60021 J. Comput. Appl. Math. 351, 237-249 (2019). MSC: 60E05 60J10 62E10 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Comput. Appl. Math. 351, 237--249 (2019; Zbl 1403.60021) Full Text: DOI
Ozkut, Murat; Eryilmaz, Serkan Reliability analysis under Marshall-Olkin run shock model. (English) Zbl 1409.62198 J. Comput. Appl. Math. 349, 52-59 (2019). MSC: 62N05 60K10 90B25 PDF BibTeX XML Cite \textit{M. Ozkut} and \textit{S. Eryilmaz}, J. Comput. Appl. Math. 349, 52--59 (2019; Zbl 1409.62198) Full Text: DOI
Acal, C.; Ruiz-Castro, J. E.; Aguilera, A. M.; Jiménez-Molinos, F.; Roldán, J. B. Phase-type distributions for studying variability in resistive memories. (English) Zbl 1402.62348 J. Comput. Appl. Math. 345, 23-32 (2019). MSC: 62P30 62N05 68M20 PDF BibTeX XML Cite \textit{C. Acal} et al., J. Comput. Appl. Math. 345, 23--32 (2019; Zbl 1402.62348) Full Text: DOI
Suganya, C.; Lawrence, A. Shophia; Sivakumar, B. A finite-source inventory system with service facility, multiple vacations of two heterogeneous servers. (English) Zbl 1455.90015 Int. J. Inf. Manage. Sci. 29, No. 3, 257-277 (2018). MSC: 90B05 90B22 PDF BibTeX XML Cite \textit{C. Suganya} et al., Int. J. Inf. Manage. Sci. 29, No. 3, 257--277 (2018; Zbl 1455.90015) Full Text: DOI
He, Qi-Ming; Alfa, Attahiru Sule Space reduction for a class of multidimensional Markov chains: a summary and some applications. (English) Zbl 07271620 INFORMS J. Comput. 30, No. 1, 1-10 (2018). MSC: 60 PDF BibTeX XML Cite \textit{Q.-M. He} and \textit{A. S. Alfa}, INFORMS J. Comput. 30, No. 1, 1--10 (2018; Zbl 07271620) Full Text: DOI
Barron, Yonit A threshold policy in a Markov-modulated production system with server vacation: the case of continuous and batch supplies. (English) Zbl 1431.60110 Adv. Appl. Probab. 50, No. 4, 1246-1274 (2018). MSC: 60K20 90B05 90B30 90B22 PDF BibTeX XML Cite \textit{Y. Barron}, Adv. Appl. Probab. 50, No. 4, 1246--1274 (2018; Zbl 1431.60110) Full Text: DOI
Sun, B.; Dudin, A.; Dudin, S. Queueing system with impatient customers, visible queue and replenishable inventory. (English) Zbl 1423.60120 Appl. Comput. Math. 17, No. 2, 161-174 (2018). MSC: 60J27 PDF BibTeX XML Cite \textit{B. Sun} et al., Appl. Comput. Math. 17, No. 2, 161--174 (2018; Zbl 1423.60120) Full Text: Link
Hössjer, Ola; Bechly, Günter; Gauger, Ann Phase-type distribution approximations of the waiting time until coordinated mutations get fixed in a population. (English) Zbl 1423.60121 Silvestrov, Sergei (ed.) et al., Stochastic processes and applications. SPAS2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 271, 245-313 (2018). MSC: 60J28 92D10 PDF BibTeX XML Cite \textit{O. Hössjer} et al., Springer Proc. Math. Stat. 271, 245--313 (2018; Zbl 1423.60121) Full Text: DOI
Yin, Dongliang; Hu, Tao; Chen, Tong Reliability analysis for multi-state warm standby system with repair priority. (Chinese. English summary) Zbl 1424.90066 Control Decis. 33, No. 11, 2029-2036 (2018). MSC: 90B25 PDF BibTeX XML Cite \textit{D. Yin} et al., Control Decis. 33, No. 11, 2029--2036 (2018; Zbl 1424.90066) Full Text: DOI
Barron, Yonit An order-revenue inventory model with returns and sudden obsolescence. (English) Zbl 07064427 Oper. Res. Lett. 46, No. 1, 88-92 (2018). MSC: 90 PDF BibTeX XML Cite \textit{Y. Barron}, Oper. Res. Lett. 46, No. 1, 88--92 (2018; Zbl 07064427) Full Text: DOI
Starreveld, N. J.; Bekker, R.; Mandjes, M. Occupation times for the finite buffer fluid queue with phase-type ON-times. (English) Zbl 07064416 Oper. Res. Lett. 46, No. 1, 27-32 (2018). MSC: 90 PDF BibTeX XML Cite \textit{N. J. Starreveld} et al., Oper. Res. Lett. 46, No. 1, 27--32 (2018; Zbl 07064416) Full Text: DOI arXiv
Asmussen, Søren; Ivanovs, Jevgenijs A factorization of a Lévy process over a phase-type horizon. (English) Zbl 1411.60068 Stoch. Models 34, No. 4, 397-408 (2018). MSC: 60G51 60J27 PDF BibTeX XML Cite \textit{S. Asmussen} and \textit{J. Ivanovs}, Stoch. Models 34, No. 4, 397--408 (2018; Zbl 1411.60068) Full Text: DOI arXiv
Caceres, Hernan; Yu, Dongchen; Nikolaev, Alexander Evaluating shortfall distributions in periodic inventory systems with stochastic endogenous demands and lead-times. (English) Zbl 1410.90003 Ann. Oper. Res. 271, No. 2, 405-427 (2018). MSC: 90B05 90B22 65K05 60K25 PDF BibTeX XML Cite \textit{H. Caceres} et al., Ann. Oper. Res. 271, No. 2, 405--427 (2018; Zbl 1410.90003) Full Text: DOI
Metzler, Holger; Sierra, Carlos A. Linear autonomous compartmental models as continuous-time Markov chains: transit-time and age distributions. (English) Zbl 1406.86007 Math. Geosci. 50, No. 1, 1-34 (2018). MSC: 86A04 60J28 86A32 PDF BibTeX XML Cite \textit{H. Metzler} and \textit{C. A. Sierra}, Math. Geosci. 50, No. 1, 1--34 (2018; Zbl 1406.86007) Full Text: DOI
Wen, Eryuan; Wang, Xiulian The Gerber-Shiu discounted penalty function of absolute ruin for two rates with phase-type interclaim times. (Chinese. English summary) Zbl 1413.91044 J. Cent. China Norm. Univ., Nat. Sci. 52, No. 1, 14-18 (2018). MSC: 91B30 60K10 44A10 PDF BibTeX XML Cite \textit{E. Wen} and \textit{X. Wang}, J. Cent. China Norm. Univ., Nat. Sci. 52, No. 1, 14--18 (2018; Zbl 1413.91044) Full Text: DOI
Jiang, Wuyuan The expected discounted penalty function in a renewal risk model with stochastic income. (Chinese. English summary) Zbl 1413.62183 Appl. Math., Ser. A (Chin. Ed.) 33, No. 1, 45-51 (2018). MSC: 62P05 91B30 PDF BibTeX XML Cite \textit{W. Jiang}, Appl. Math., Ser. A (Chin. Ed.) 33, No. 1, 45--51 (2018; Zbl 1413.62183)
Eryilmaz, Serkan The complementary exponential phase type distribution. (English) Zbl 1397.62178 Tez, Müjgan (ed.) et al., Trends and perspectives in linear statistical inference. Proceedings of the LINSTAT2016 meeting held 22–25 August 2016 in Istanbul, Turkey. Cham: Springer (ISBN 978-3-319-73240-4/hbk; 978-3-319-73241-1/ebook). Contributions to Statistics, 105-110 (2018). MSC: 62H05 62G30 62E15 PDF BibTeX XML Cite \textit{S. Eryilmaz}, in: Trends and perspectives in linear statistical inference. Proceedings of the LINSTAT2016 meeting held 22--25 August 2016 in Istanbul, Turkey. Cham: Springer. 105--110 (2018; Zbl 1397.62178) Full Text: DOI
Rejitha, K. R.; Jose, K. P. A stochastic inventory system with two modes of service and retrial of customers. (English) Zbl 1391.90026 Opsearch 55, No. 1, 134-149 (2018). MSC: 90B05 PDF BibTeX XML Cite \textit{K. R. Rejitha} and \textit{K. P. Jose}, Opsearch 55, No. 1, 134--149 (2018; Zbl 1391.90026) Full Text: DOI
García-Mora, B.; Santamaría, C.; Rubio, G. Modeling dependence in the inter-failure times. An analysis in reliability models by Markovian arrival processes. (English) Zbl 06892300 J. Comput. Appl. Math. 343, 762-770 (2018); corrigendum ibid. 381, Article ID 113085, 1 p. (2020). MSC: 90B25 60K10 60K25 PDF BibTeX XML Cite \textit{B. García-Mora} et al., J. Comput. Appl. Math. 343, 762--770 (2018; Zbl 06892300) Full Text: DOI
Jiang, Wuyuan; Ma, Chaoqun The maximum surplus before ruin for two classes of perturbed risk model. (English) Zbl 1390.62211 Appl. Anal. 97, No. 1, 124-133 (2018). MSC: 62P05 91B30 60J60 PDF BibTeX XML Cite \textit{W. Jiang} and \textit{C. Ma}, Appl. Anal. 97, No. 1, 124--133 (2018; Zbl 1390.62211) Full Text: DOI
Chakravarthy, Srinivas R. A catastrophic queueing model with delayed action. (English) Zbl 1443.90014 Appl. Math. Modelling 46, 631-649 (2017). MSC: 90-10 60K25 90B22 PDF BibTeX XML Cite \textit{S. R. Chakravarthy}, Appl. Math. Modelling 46, 631--649 (2017; Zbl 1443.90014) Full Text: DOI
Kim, Chesoong; Klimenok, V. I.; Dudin, A. N. Analysis of unreliable BMAP/PH/N type queue with Markovian flow of breakdowns. (English) Zbl 1426.90072 Appl. Math. Comput. 314, 154-172 (2017). MSC: 90B22 60K25 PDF BibTeX XML Cite \textit{C. Kim} et al., Appl. Math. Comput. 314, 154--172 (2017; Zbl 1426.90072) Full Text: DOI
Shin, Yang Woo Dimension reduction for approximation of advanced retrial queues : tutorial and review. (English) Zbl 1400.60116 J. Appl. Math. Inform. 35, No. 5-6, 623-649 (2017). MSC: 60K25 68M20 90B22 90-02 PDF BibTeX XML Cite \textit{Y. W. Shin}, J. Appl. Math. Inform. 35, No. 5--6, 623--649 (2017; Zbl 1400.60116) Full Text: DOI
Klimenok, Valentina Two-server queueing system with unreliable servers and Markovian arrival process. (English) Zbl 1397.90120 Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 16th international conference, ITMM 2017, named after A. F. Terpugov, Kazan, Russia, September 29 – October 3, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-68068-2/pbk; 978-3-319-68069-9/ebook). Communications in Computer and Information Science 800, 42-55 (2017). MSC: 90B22 90B25 60K25 PDF BibTeX XML Cite \textit{V. Klimenok}, Commun. Comput. Inf. Sci. 800, 42--55 (2017; Zbl 1397.90120) Full Text: DOI
Wang, Wei; Yin, Dongliang; Chen, Tong Analysis on reliability model of parallel system with a repairman taking multiple vacations. (Chinese. English summary) Zbl 1399.90080 Syst. Eng. Electron. 39, No. 11, 2631-2636 (2017). MSC: 90B25 68Q10 PDF BibTeX XML Cite \textit{W. Wang} et al., Syst. Eng. Electron. 39, No. 11, 2631--2636 (2017; Zbl 1399.90080) Full Text: DOI
Zhang, Shuang; Yue, Dequan Optimal control polices for an inventory system with phase type distribution of lead time. (Chinese. English summary) Zbl 1399.90017 J. Shandong Univ., Nat. Sci. 52, No. 9, 92-97 (2017). MSC: 90B05 60K10 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{D. Yue}, J. Shandong Univ., Nat. Sci. 52, No. 9, 92--97 (2017; Zbl 1399.90017) Full Text: DOI
Zhang, Hongbo; Hou, Zhenting Tail asymptotics for a class of infinite phase type distributions. (Chinese. English summary) Zbl 1399.60016 Chin. J. Appl. Probab. Stat. 33, No. 6, 584-590 (2017). MSC: 60E05 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Z. Hou}, Chin. J. Appl. Probab. Stat. 33, No. 6, 584--590 (2017; Zbl 1399.60016) Full Text: DOI
Bergel, Agnieszka I.; Rodríguez-Martínez, Eugenio V.; dos Reis, Alfredo D. Egídio On dividends in the phase-type dual risk model. (English) Zbl 1402.91185 Scand. Actuar. J. 2017, No. 9, 761-784 (2017). MSC: 91B30 60K10 44A10 PDF BibTeX XML Cite \textit{A. I. Bergel} et al., Scand. Actuar. J. 2017, No. 9, 761--784 (2017; Zbl 1402.91185) Full Text: DOI
Zhang, Hongbo A new approach for analyzing the busy period distribution of \(\mathrm{M}/\mathrm{M}/c\) queue. (Chinese. English summary) Zbl 1399.60146 J. Syst. Sci. Math. Sci. 37, No. 6, 1524-1531 (2017). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{H. Zhang}, J. Syst. Sci. Math. Sci. 37, No. 6, 1524--1531 (2017; Zbl 1399.60146)
Zhang, Hongbo; Shi, Dinghua Numerical computation and tail asymptotic for queue length of a vacation queue. (Chinese. English summary) Zbl 1399.90074 Acta Math. Appl. Sin. 40, No. 5, 770-780 (2017). MSC: 90B22 60K25 60J80 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{D. Shi}, Acta Math. Appl. Sin. 40, No. 5, 770--780 (2017; Zbl 1399.90074)
Eryilmaz, Serkan A new class of bivariate lifetime distributions. (English) Zbl 1387.60021 Commun. Stat., Theory Methods 46, No. 24, 12324-12335 (2017). MSC: 60E05 62E15 62E17 PDF BibTeX XML Cite \textit{S. Eryilmaz}, Commun. Stat., Theory Methods 46, No. 24, 12324--12335 (2017; Zbl 1387.60021) Full Text: DOI
Hautphenne, Sophie; Massaro, Melanie; Taylor, Peter How old is this bird? The age distribution under some phase sampling schemes. (English) Zbl 1418.60110 J. Math. Biol. 75, No. 6-7, 1319-1347 (2017). MSC: 60J27 92B05 92D25 PDF BibTeX XML Cite \textit{S. Hautphenne} et al., J. Math. Biol. 75, No. 6--7, 1319--1347 (2017; Zbl 1418.60110) Full Text: DOI arXiv
Gerhardt, Ira; Nelson, Barry L.; Taaffe, Michael R. Technical note: the \(MAP_{t}/Ph_{t}/\infty\) queueing system and multiclass \([MAP_{t}/Ph_{t}/\infty]^{K}\) queueing network. (English) Zbl 1371.90044 INFORMS J. Comput. 29, No. 2, 367-376 (2017). MSC: 90B22 90B15 PDF BibTeX XML Cite \textit{I. Gerhardt} et al., INFORMS J. Comput. 29, No. 2, 367--376 (2017; Zbl 1371.90044) Full Text: DOI
Wen, Yanqing; Cui, Lirong; Si, Shubin; Liu, Baoliang A multiple warm standby \(\delta\)-shock system with a repairman having multiple vacations. (English) Zbl 1370.90101 Commun. Stat., Simulation Comput. 46, No. 4, 3172-3186 (2017). MSC: 90B25 60K10 PDF BibTeX XML Cite \textit{Y. Wen} et al., Commun. Stat., Simulation Comput. 46, No. 4, 3172--3186 (2017; Zbl 1370.90101) Full Text: DOI
Koutras, Markos V.; Eryilmaz, Serkan Compound geometric distribution of order \(k\). (English) Zbl 1380.62064 Methodol. Comput. Appl. Probab. 19, No. 2, 377-393 (2017). MSC: 62E15 60E05 60G40 60G50 PDF BibTeX XML Cite \textit{M. V. Koutras} and \textit{S. Eryilmaz}, Methodol. Comput. Appl. Probab. 19, No. 2, 377--393 (2017; Zbl 1380.62064) Full Text: DOI
Baek, Janghyun; Dudina, Olga; Kim, Chesoong A queueing system with heterogeneous impatient customers and consumable additional items. (English) Zbl 1367.60108 Int. J. Appl. Math. Comput. Sci. 27, No. 2, 367-384 (2017). MSC: 60K20 60J10 PDF BibTeX XML Cite \textit{J. Baek} et al., Int. J. Appl. Math. Comput. Sci. 27, No. 2, 367--384 (2017; Zbl 1367.60108) Full Text: DOI
Yu, Miaomiao; Tang, Yinghui Optimal replacement policy based on maximum repair time for a random shock and wear model. (English) Zbl 1360.90114 Top 25, No. 1, 80-94 (2017). MSC: 90B25 60K10 PDF BibTeX XML Cite \textit{M. Yu} and \textit{Y. Tang}, Top 25, No. 1, 80--94 (2017; Zbl 1360.90114) Full Text: DOI
Inoue, Yoshiaki; Takine, Tetsuya A computational algorithm for the loss probability in the \(\mathrm{M}/\mathrm{G}/1+\mathrm{PH}\) queue. (English) Zbl 1361.60083 Stoch. Models 33, No. 1, 116-148 (2017). MSC: 60K25 68M20 65C50 90B22 PDF BibTeX XML Cite \textit{Y. Inoue} and \textit{T. Takine}, Stoch. Models 33, No. 1, 116--148 (2017; Zbl 1361.60083) Full Text: DOI
Banik, A. D. Stationary analysis of a \(\mathrm{BMAP}/\mathrm{R}/1\) queue with \(\mathrm{R}\)-type multiple working vacations. (English) Zbl 1386.60306 Commun. Stat., Simulation Comput. 46, No. 2, 1035-1061 (2017). MSC: 60K25 68M20 90B22 PDF BibTeX XML Cite \textit{A. D. Banik}, Commun. Stat., Simulation Comput. 46, No. 2, 1035--1061 (2017; Zbl 1386.60306) Full Text: DOI
Zadeh, Amin Hassan; Stanford, David A. Bayesian and Bühlmann credibility for phase-type distributions with a univariate risk parameter. (English) Zbl 1401.91210 Scand. Actuar. J. 2016, No. 4, 338-355 (2016). MSC: 91B30 60J25 62E15 62P05 PDF BibTeX XML Cite \textit{A. H. Zadeh} and \textit{D. A. Stanford}, Scand. Actuar. J. 2016, No. 4, 338--355 (2016; Zbl 1401.91210) Full Text: DOI
Kim, Chesoong; Dudin, Alexander; Dudin, Sergey; Dudina, Olga Analysis of two-server queueing model with phase-type service time distribution and common phases of service. (English) Zbl 1390.68130 Vishnevsky, Vladimir (ed.) et al., Distributed computer and communication networks. 18th international conference, DCCN 2015, Moscow, Russia, October 19–22, 2015. Revised selected papers. Cham: Springer (ISBN 978-3-319-30842-5/pbk; 978-3-319-30843-2/ebook). Communications in Computer and Information Science 601, 19-29 (2016). MSC: 68M20 PDF BibTeX XML Cite \textit{C. Kim} et al., Commun. Comput. Inf. Sci. 601, 19--29 (2016; Zbl 1390.68130) Full Text: DOI
Jiang, Wuyuan; Ma, Chaoqun Dividend moments for two classes of risk processes with phase-type interclaim times. (English) Zbl 1359.62454 Hacet. J. Math. Stat. 45, No. 3, 905-915 (2016). MSC: 62P05 91B30 PDF BibTeX XML Cite \textit{W. Jiang} and \textit{C. Ma}, Hacet. J. Math. Stat. 45, No. 3, 905--915 (2016; Zbl 1359.62454) Full Text: DOI
Dayar, Tuǧrul; Orhan, M. Can Steady-state analysis of a multiclass \(\mathrm{MAP}/\mathrm{PH}/c\) queue with acyclic PH retrials. (English) Zbl 1356.60144 J. Appl. Probab. 53, No. 4, 1098-1110 (2016). MSC: 60K25 60J27 60J28 60J22 60J10 90B22 68M20 65C40 PDF BibTeX XML Cite \textit{T. Dayar} and \textit{M. C. Orhan}, J. Appl. Probab. 53, No. 4, 1098--1110 (2016; Zbl 1356.60144) Full Text: DOI Euclid
Asmussen, Søren; Lipsky, Lester; Thompson, Stephen Markov renewal methods in restart problems in complex systems. (English) Zbl 1354.60109 Podolskij, Mark (ed.) et al., The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer (ISBN 978-3-319-25824-9/hbk; 978-3-319-25826-3/ebook). 501-527 (2016). MSC: 60K10 60J27 60K15 PDF BibTeX XML Cite \textit{S. Asmussen} et al., in: The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer. 501--527 (2016; Zbl 1354.60109) Full Text: DOI
Li, Quan-Lin; Lui, John C. S. Block-structured supermarket models. (English) Zbl 1354.93019 Discrete Event Dyn. Syst. 26, No. 2, 147-182 (2016). Reviewer: Doina Carp (Constanta) MSC: 93A30 90B22 93E03 93C40 60J99 PDF BibTeX XML Cite \textit{Q.-L. Li} and \textit{J. C. S. Lui}, Discrete Event Dyn. Syst. 26, No. 2, 147--182 (2016; Zbl 1354.93019) Full Text: DOI
Avram, F.; Badescu, A. L.; Pistorius, M. R.; Rabehasaina, L. On a class of dependent Sparre Andersen risk models and a bailout application. (English) Zbl 1371.91078 Insur. Math. Econ. 71, 27-39 (2016). MSC: 91B30 60K30 60G51 60J75 PDF BibTeX XML Cite \textit{F. Avram} et al., Insur. Math. Econ. 71, 27--39 (2016; Zbl 1371.91078) Full Text: DOI
Barron, Yonit; Perry, David; Stadje, Wolfgang A make-to-stock production/inventory model with MAP arrivals and phase-type demands. (English) Zbl 1348.90019 Ann. Oper. Res. 241, No. 1-2, 373-409 (2016). MSC: 90B05 90B30 PDF BibTeX XML Cite \textit{Y. Barron} et al., Ann. Oper. Res. 241, No. 1--2, 373--409 (2016; Zbl 1348.90019) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu SIR epidemics with stages of infection. (English) Zbl 1352.92159 Adv. Appl. Probab. 48, No. 3, 768-791 (2016). MSC: 92D30 60J20 60K15 60G55 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{M. Simon}, Adv. Appl. Probab. 48, No. 3, 768--791 (2016; Zbl 1352.92159) Full Text: DOI Euclid
Okamura, Hiroyuki; Dohi, Tadashi PH fitting algorithm and its application to reliability engineering. (English) Zbl 1349.90261 J. Oper. Res. Soc. Japan 59, No. 1, 72-109 (2016). MSC: 90B25 90B22 60J28 PDF BibTeX XML Cite \textit{H. Okamura} and \textit{T. Dohi}, J. Oper. Res. Soc. Japan 59, No. 1, 72--109 (2016; Zbl 1349.90261) Full Text: DOI
Okamura, Hiroyuki; Dohi, Tadashi Phase-type software reliability model: parameter estimation algorithms with grouped data. (English) Zbl 1386.68035 Ann. Oper. Res. 244, No. 1, 177-208 (2016). MSC: 68N30 62N02 62N05 90B25 PDF BibTeX XML Cite \textit{H. Okamura} and \textit{T. Dohi}, Ann. Oper. Res. 244, No. 1, 177--208 (2016; Zbl 1386.68035) Full Text: DOI
Ruiz-Castro, Juan Eloy Complex multi-state systems modelled through marked Markovian arrival processes. (English) Zbl 1346.90285 Eur. J. Oper. Res. 252, No. 3, 852-865 (2016). MSC: 90B25 60J20 PDF BibTeX XML Cite \textit{J. E. Ruiz-Castro}, Eur. J. Oper. Res. 252, No. 3, 852--865 (2016; Zbl 1346.90285) Full Text: DOI
Dudin, Alexander; Kim, Chesoong; Dudina, Olga; Dudin, Sergey Multi-server queueing system with a generalized phase-type service time distribution as a model of call center with a call-back option. (English) Zbl 1338.90126 Ann. Oper. Res. 239, No. 2, 401-428 (2016). MSC: 90B22 PDF BibTeX XML Cite \textit{A. Dudin} et al., Ann. Oper. Res. 239, No. 2, 401--428 (2016; Zbl 1338.90126) Full Text: DOI
Zenga, Mariangela; Marshall, Adele H.; Crippa, Franca; Mitchell, Hannah The Coxian phase-type distribution as a contribution to the multilevel model of in-hospital mortality. (English) Zbl 1381.62285 Commun. Stat., Theory Methods 45, No. 6, 1819-1830 (2016). MSC: 62P10 62N05 PDF BibTeX XML Cite \textit{M. Zenga} et al., Commun. Stat., Theory Methods 45, No. 6, 1819--1830 (2016; Zbl 1381.62285) Full Text: DOI
Liu, Baoliang; Cui, Lirong; Wen, Yanqing; Guo, Furi A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions. (English) Zbl 1338.90145 Commun. Stat., Theory Methods 45, No. 4, 850-858 (2016). MSC: 90B25 60K10 PDF BibTeX XML Cite \textit{B. Liu} et al., Commun. Stat., Theory Methods 45, No. 4, 850--858 (2016; Zbl 1338.90145) Full Text: DOI
Eryilmaz, Serkan A new class of lifetime distributions. (English) Zbl 1382.60029 Stat. Probab. Lett. 112, 63-71 (2016). MSC: 60E05 62E15 62F10 PDF BibTeX XML Cite \textit{S. Eryilmaz}, Stat. Probab. Lett. 112, 63--71 (2016; Zbl 1382.60029) Full Text: DOI
He, Qi-Ming; Ren, Jiandong Analysis of a multivariate claim process. (English) Zbl 1337.60252 Methodol. Comput. Appl. Probab. 18, No. 1, 257-273 (2016). MSC: 60K99 91B30 65C99 PDF BibTeX XML Cite \textit{Q.-M. He} and \textit{J. Ren}, Methodol. Comput. Appl. Probab. 18, No. 1, 257--273 (2016; Zbl 1337.60252) Full Text: DOI
Eryilmaz, Serkan Compound Markov negative binomial distribution. (English) Zbl 1323.60092 J. Comput. Appl. Math. 292, 1-6 (2016). MSC: 60J10 60E05 PDF BibTeX XML Cite \textit{S. Eryilmaz}, J. Comput. Appl. Math. 292, 1--6 (2016; Zbl 1323.60092) Full Text: DOI
García-Mora, B.; Santamaría, C.; Rubio, G.; Pontones, J. L. Bayesian prediction for flowgraph models with covariates. An application to bladder carcinoma. (English) Zbl 1329.62130 J. Comput. Appl. Math. 291, 85-93 (2016). MSC: 62F15 92B15 62N02 PDF BibTeX XML Cite \textit{B. García-Mora} et al., J. Comput. Appl. Math. 291, 85--93 (2016; Zbl 1329.62130) Full Text: DOI
Eryilmaz, Serkan Assessment of a multi-state system under a shock model. (English) Zbl 1410.90063 Appl. Math. Comput. 269, 1-8 (2015). MSC: 90B25 60K10 60G70 62N05 PDF BibTeX XML Cite \textit{S. Eryilmaz}, Appl. Math. Comput. 269, 1--8 (2015; Zbl 1410.90063) Full Text: DOI
Montoro-Cazorla, Delia; Pérez-Ocón, Rafael A shock and wear model with dependence between the interarrival failures. (English) Zbl 1390.90289 Appl. Math. Comput. 259, 339-352 (2015). MSC: 90B25 60K10 60K25 60G55 68M20 PDF BibTeX XML Cite \textit{D. Montoro-Cazorla} and \textit{R. Pérez-Ocón}, Appl. Math. Comput. 259, 339--352 (2015; Zbl 1390.90289) Full Text: DOI
Rodríguez-Martínez, Eugenio V.; Cardoso, Rui M. R.; Egídio dos Reis, Alfredo D. Some advances on the Erlang(\(n\)) dual risk model. (English) Zbl 1390.91209 ASTIN Bull. 45, No. 1, 127-150 (2015). MSC: 91B30 60K10 62P05 PDF BibTeX XML Cite \textit{E. V. Rodríguez-Martínez} et al., ASTIN Bull. 45, No. 1, 127--150 (2015; Zbl 1390.91209) Full Text: DOI
Banerjee, A.; Gupta, U. C.; Chakravarthy, S. R. Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service. (English) Zbl 1348.90193 Comput. Oper. Res. 60, 138-149 (2015). MSC: 90B22 60K20 PDF BibTeX XML Cite \textit{A. Banerjee} et al., Comput. Oper. Res. 60, 138--149 (2015; Zbl 1348.90193) Full Text: DOI
Yu, Miaomiao; Alfa, Attahiru Sule Algorithm for computing the queue length distribution at various time epochs in \(\mathrm{DMAP}/G^{(1, a, b)}/1/n\) queue with batch-size-dependent service time. (English) Zbl 1347.90026 Eur. J. Oper. Res. 244, No. 1, 227-239 (2015). MSC: 90B22 60K25 PDF BibTeX XML Cite \textit{M. Yu} and \textit{A. S. Alfa}, Eur. J. Oper. Res. 244, No. 1, 227--239 (2015; Zbl 1347.90026) Full Text: DOI
Zhao, Guoxi; Yue, Deuquan; Xu, Shoufang Analysis of a queuing system with Markovian arrivals and partial-breakdown. (English) Zbl 1349.60138 J. Syst. Sci. Math. Sci. 35, No. 10, 1233-1241 (2015). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{G. Zhao} et al., J. Syst. Sci. Math. Sci. 35, No. 10, 1233--1241 (2015; Zbl 1349.60138)
Andersen, Lars Nørvang; Asmussen, Søren; Glynn, Peter W.; Pihlsgård, Mats Lévy processes with two-sided reflection. (English) Zbl 1338.60126 Andersen, Lars Nørvang et al., Lévy matters V. Functionals of Lévy processes. Cham: Springer (ISBN 978-3-319-23137-2/pbk; 978-3-319-23138-9/ebook). Lecture Notes in Mathematics 2149. Lévy Matters, 67-182 (2015). MSC: 60G51 60F17 60F05 60F10 60G44 60J55 60K25 60K30 34K50 PDF BibTeX XML Cite \textit{L. N. Andersen} et al., Lect. Notes Math. 2149, 67--182 (2015; Zbl 1338.60126) Full Text: DOI
Krishnamoorthy, A.; Nair, Sajeev S.; Narayanan, Viswanath C. Production inventory with service time and interruptions. (English) Zbl 1332.90011 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 10, 1800-1816 (2015). MSC: 90B05 90B22 93E03 PDF BibTeX XML Cite \textit{A. Krishnamoorthy} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 10, 1800--1816 (2015; Zbl 1332.90011) Full Text: DOI
Ruiz-Castro, Juan Eloy A preventive maintenance policy for a standby system subject to internal failures and external shocks with loss of units. (English) Zbl 1332.90096 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 9, 1600-1613 (2015). MSC: 90B25 60J10 PDF BibTeX XML Cite \textit{J. E. Ruiz-Castro}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 9, 1600--1613 (2015; Zbl 1332.90096) Full Text: DOI
Marques, Filipe J.; Coelho, Carlos A.; de Carvalho, Miguel On the distribution of linear combinations of independent Gumbel random variables. (English) Zbl 1331.62088 Stat. Comput. 25, No. 3, 683-701 (2015). MSC: 62E20 60E05 PDF BibTeX XML Cite \textit{F. J. Marques} et al., Stat. Comput. 25, No. 3, 683--701 (2015; Zbl 1331.62088) Full Text: DOI
Shin, Yang Woo; Moon, Dug Hee Approximate analysis of \(\mathrm{M}/\mathrm{M}/c\) retrial queue with server vacations. (English) Zbl 1331.60179 J. Korean Soc. Ind. Appl. Math. 19, No. 4, 443-457 (2015). MSC: 60K25 60J27 90B22 68M20 PDF BibTeX XML Cite \textit{Y. W. Shin} and \textit{D. H. Moon}, J. Korean Soc. Ind. Appl. Math. 19, No. 4, 443--457 (2015; Zbl 1331.60179) Full Text: DOI Link
Landriault, David; Moutanabbir, Khouzeima; Willmot, Gordon E. A note on order statistics in the mixed Erlang case. (English) Zbl 1398.62118 Stat. Probab. Lett. 106, 13-18 (2015). MSC: 62G30 PDF BibTeX XML Cite \textit{D. Landriault} et al., Stat. Probab. Lett. 106, 13--18 (2015; Zbl 1398.62118) Full Text: DOI
Tank, Fatih; Eryilmaz, Serkan The distributions of sum, minima and maxima of generalized geometric random variables. (English) Zbl 1327.60041 Stat. Pap. 56, No. 4, 1191-1203 (2015). MSC: 60E05 62E15 PDF BibTeX XML Cite \textit{F. Tank} and \textit{S. Eryilmaz}, Stat. Pap. 56, No. 4, 1191--1203 (2015; Zbl 1327.60041) Full Text: DOI
Dudin, Alexander; Jacob, Varghese; Krishnamoorthy, Achyutha A multi-server queueing system with service interruption, partial protection and repetition of service. (English) Zbl 1327.90048 Ann. Oper. Res. 233, 101-121 (2015). MSC: 90B22 PDF BibTeX XML Cite \textit{A. Dudin} et al., Ann. Oper. Res. 233, 101--121 (2015; Zbl 1327.90048) Full Text: DOI
Ko, Bangwon; Bae, Taehan Pricing guaranteed minimum death benefit contracts under the phase-type law of mortality. (English) Zbl 1335.91082 Lobachevskii J. Math. 36, No. 2, 198-207 (2015). MSC: 91G20 91B30 PDF BibTeX XML Cite \textit{B. Ko} and \textit{T. Bae}, Lobachevskii J. Math. 36, No. 2, 198--207 (2015; Zbl 1335.91082) Full Text: DOI
Katsuda, Toshiyuki General hazard-type scaling of abandonment time distribution for a \(\mathrm{G}/\mathrm{Ph}/n+\mathrm{GI}\) queue in the Halfin-Whitt heavy-traffic regime. (English) Zbl 1318.60092 Queueing Syst. 80, No. 1-2, 155-195 (2015). MSC: 60K25 60F17 90B22 68M20 PDF BibTeX XML Cite \textit{T. Katsuda}, Queueing Syst. 80, No. 1--2, 155--195 (2015; Zbl 1318.60092) Full Text: DOI