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Volumn 41, Issue 4, 2004, Pages 1145-1156

Scale functions of levy processes and busy periods of finite-capacity M/GI/1 queues

Author keywords

Busy period; Laplace transform; Levy process; On off input; Queue; Scale function

Indexed keywords


EID: 14644404285     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1101840559     Document Type: Article
Times cited : (11)

References (11)
  • 1
    • 4043110188 scopus 로고    scopus 로고
    • Exit problems for spectrally negative Levy processes and applications to (Canadized) Russian options
    • AVRAM, F., KYPRIANOU, A. E. AND PISTORIUS, M. R. (2004). Exit problems for spectrally negative Levy processes and applications to (Canadized) Russian options. Ann. Appl. Prob. 14, 215-238.
    • (2004) Ann. Appl. Prob. , vol.14 , pp. 215-238
    • Avram, F.1    Kyprianou, A.E.2    Pistorius, M.R.3
  • 2
    • 0002001713 scopus 로고
    • Dynamic, transient and stationary behavior of the M/G/1 queue via martingales
    • BACCELLI, F. AND MAKOWSKI, A. M. (1989). Dynamic, transient and stationary behavior of the M/G/1 queue via martingales. Ann. Prob. 17, 1691-1699.
    • (1989) Ann. Prob. , vol.17 , pp. 1691-1699
    • Baccelli, F.1    Makowski, A.M.2
  • 3
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge University Press
    • BERTOIN, J. (1996). Lévy Processes. Cambridge University Press.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 4
    • 0031285159 scopus 로고    scopus 로고
    • Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval
    • BERTOIN, J. (1997). Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval. Ann. Appl. Prob. 7, 156-169.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 156-169
    • Bertoin, J.1
  • 5
    • 0015725442 scopus 로고
    • Exit problem for a spectrally positive process
    • EMERY, D. J. (1973). Exit problem for a spectrally positive process. Adv. Appl. Prob. 5, 498-520.
    • (1973) Adv. Appl. Prob. , vol.5 , pp. 498-520
    • Emery, D.J.1
  • 6
    • 58149363078 scopus 로고
    • Excursions of the workload process in G/GI/1 queues
    • GUILLEMIN, F. M. AND MAZUMDAR, R. R. (1995). Excursions of the workload process in G/GI/1 queues. Stock. Process. Appl. 58, 139-154.
    • (1995) Stock. Process. Appl. , vol.58 , pp. 139-154
    • Guillemin, F.M.1    Mazumdar, R.R.2
  • 7
    • 0034341876 scopus 로고    scopus 로고
    • A new approach to the busy period of the M/M/1 queue
    • KINATEDER, K. K. J. AND LEE, E. Y. (2000). A new approach to the busy period of the M/M/1 queue. Queueing Systems 35, 105-115.
    • (2000) Queueing Systems , vol.35 , pp. 105-115
    • Kinateder, K.K.J.1    Lee, E.Y.2
  • 8
    • 33749583699 scopus 로고    scopus 로고
    • A martingale review of some fluctuation theory for spectrally negative Levy processes
    • To appear in
    • KYPRIANOU, A. AND PALMOWSKI, Z. (2004). A martingale review of some fluctuation theory for spectrally negative Levy processes. To appear in Séminaire de Probabilités, vol. XXXVIII.
    • (2004) Séminaire de Probabilités , vol.38
    • Kyprianou, A.1    Palmowski, Z.2
  • 9
    • 0007330629 scopus 로고    scopus 로고
    • The expected wet period of finite dam with exponential inputs
    • LEE, E. Y. AND KINATEDER, K. K. J. (2000). The expected wet period of finite dam with exponential inputs. Stock. Process. Appl. 90, 175-180.
    • (2000) Stock. Process. Appl. , vol.90 , pp. 175-180
    • Lee, E.Y.1    Kinateder, K.K.J.2
  • 10
    • 0041340909 scopus 로고    scopus 로고
    • On doubly reflected completely asymmetric Lévy processes
    • PISTORIUS, M. R. (2003). On doubly reflected completely asymmetric Lévy processes. Stock. Process. Appl. 107, 131-143.
    • (2003) Stock. Process. Appl. , vol.107 , pp. 131-143
    • Pistorius, M.R.1
  • 11
    • 4043174902 scopus 로고    scopus 로고
    • On exit and ergodicity of the spectrally one-sided Lévy process reflected at its infimum
    • PISTORIUS, M. R. (2004). On exit and ergodicity of the spectrally one-sided Lévy process reflected at its infimum. J. Theoret. Prob. 17, 183-220.
    • (2004) J. Theoret. Prob. , vol.17 , pp. 183-220
    • Pistorius, M.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.