메뉴 건너뛰기




Volumn 26, Issue 1-2, 1997, Pages 151-167

Formulas and representations for cyclic Markovian networks via Palm calculus

Author keywords

Closed queueing networks; Cycle time distribution; Palm probabilities; Stationary point processes

Indexed keywords

PROBABILITY DISTRIBUTIONS;

EID: 0039978512     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019125006567     Document Type: Article
Times cited : (4)

References (29)
  • 2
    • 0020843570 scopus 로고
    • The product form for sojourn time distributions in cyclic exponential queues
    • O.J. Boxma, F.P. Kelly and A.G. Könheim, The product form for sojourn time distributions in cyclic exponential queues, J. Assoc. Comput. Mach. 31(1) (1984) 128-133.
    • (1984) J. Assoc. Comput. Mach. , vol.31 , Issue.1 , pp. 128-133
    • Boxma, O.J.1    Kelly, F.P.2    Könheim, A.G.3
  • 3
    • 0007309279 scopus 로고
    • Characteristics of queueing systems observed at events and the connection between stochastic intensity and Palm probabilities
    • P. Brémaud, Characteristics of queueing systems observed at events and the connection between stochastic intensity and Palm probabilities, Queueing Systems 5 (1989) 99-112.
    • (1989) Queueing Systems , vol.5 , pp. 99-112
    • Brémaud, P.1
  • 5
    • 0015665577 scopus 로고
    • Computational algorithms for closed queueing networks with exponential servers
    • J.P. Buzen, Computational algorithms for closed queueing networks with exponential servers, Commun. Assoc. Comput. Mach. 16 (1973) 527-531.
    • (1973) Commun. Assoc. Comput. Mach. , vol.16 , pp. 527-531
    • Buzen, J.P.1
  • 6
    • 0019005217 scopus 로고
    • The cycle time distribution of exponential cyclic queues
    • W.M. Chow, The cycle time distribution of exponential cyclic queues, J. Assoc. Comput. Mach. 27 (1981) 281-286.
    • (1981) J. Assoc. Comput. Mach. , vol.27 , pp. 281-286
    • Chow, W.M.1
  • 7
    • 0005300693 scopus 로고
    • Passage times for overtake-free paths in Gordon-Newell networks
    • H. Daduna, Passage times for overtake-free paths in Gordon-Newell networks, Adv. Appl. Probab. 14 (1982) 672-686.
    • (1982) Adv. Appl. Probab. , vol.14 , pp. 672-686
    • Daduna, H.1
  • 9
    • 0026160326 scopus 로고
    • An analytical method for obtaining performance measures of queueing networks with different classes of customers
    • in Russian
    • A.I. Gerasimov, An analytical method for obtaining performance measures of queueing networks with different classes of customers, Cybernetics 3 (1991) 98-102 (in Russian).
    • (1991) Cybernetics , vol.3 , pp. 98-102
    • Gerasimov, A.I.1
  • 10
    • 0040549166 scopus 로고
    • On normalizing constants in multi-class queueing networks
    • A.I. Gerasimov, On normalizing constants in multi-class queueing networks, Oper. Res. 43 (1995) 704-711.
    • (1995) Oper. Res. , vol.43 , pp. 704-711
    • Gerasimov, A.I.1
  • 11
    • 0025490947 scopus 로고
    • The evaluation of normalizing constants in closed queueing networks
    • J.J. Gordon, The evaluation of normalizing constants in closed queueing networks, Oper. Res. 38 (1990) 863-869.
    • (1990) Oper. Res. , vol.38 , pp. 863-869
    • Gordon, J.J.1
  • 12
    • 0001167316 scopus 로고
    • Closed queueing networks with exponential servers
    • W.J. Gordon and G.F. Newell, Closed queueing networks with exponential servers, Oper. Res. 15 (1967) 252-267.
    • (1967) Oper. Res. , vol.15 , pp. 252-267
    • Gordon, W.J.1    Newell, G.F.2
  • 13
    • 0040549165 scopus 로고
    • A note on cycle times in tree-like queueing networks
    • P.G. Harrison, A note on cycle times in tree-like queueing networks, Adv. Appl. Probab. 16 (1984) 216-219.
    • (1984) Adv. Appl. Probab. , vol.16 , pp. 216-219
    • Harrison, P.G.1
  • 14
    • 0022024168 scopus 로고
    • On normalizing constants in queueing networks
    • P.G. Harrison, On normalizing constants in queueing networks, Oper. Res. 33 (1985) 464-468.
    • (1985) Oper. Res. , vol.33 , pp. 464-468
    • Harrison, P.G.1
  • 15
    • 0000923654 scopus 로고
    • Sojourn times in closed queueing networks
    • F.P. Kelly and P.K. Pollet, Sojourn times in closed queueing networks, Adv. Appl. Probab. 15 (1983) 638-656.
    • (1983) Adv. Appl. Probab. , vol.15 , pp. 638-656
    • Kelly, F.P.1    Pollet, P.K.2
  • 17
    • 0000009851 scopus 로고
    • Production lines and internal storage: A review
    • E. Koenigsberg, Production lines and internal storage: a review, Mgmt. Sci. 5 (1959) 410-433.
    • (1959) Mgmt. Sci. , vol.5 , pp. 410-433
    • Koenigsberg, E.1
  • 18
    • 0020157474 scopus 로고
    • Twenty-five years of cyclic queues and queueing networks: A review
    • E. Koenigsberg, Twenty-five years of cyclic queues and queueing networks: a review, J. Oper. Res. Soc. 33 (1982) 605-619.
    • (1982) J. Oper. Res. Soc. , vol.33 , pp. 605-619
    • Koenigsberg, E.1
  • 19
    • 0023435766 scopus 로고
    • Asymptotic expansions of the sojourn time distribution functions of jobs in closed, product-form queueing networks
    • J. McKenna, Asymptotic expansions of the sojourn time distribution functions of jobs in closed, product-form queueing networks, J. Assoc. Comp. Mach. 34 (1987) 985-1003.
    • (1987) J. Assoc. Comp. Mach. , vol.34 , pp. 985-1003
    • McKenna, J.1
  • 20
    • 0040549128 scopus 로고
    • A generalization of Little's law to moments of queue lengths and waiting times in closed, product-form queueing networks
    • J. McKenna, A generalization of Little's law to moments of queue lengths and waiting times in closed, product-form queueing networks, J. Appl. Probab. 26 (1989) 121-133.
    • (1989) J. Appl. Probab. , vol.26 , pp. 121-133
    • McKenna, J.1
  • 21
    • 0020126699 scopus 로고
    • Integral representation and asymptotic expansions for closed queueing networks: Normal usage
    • J. McKenna and D. Mitra, Integral representation and asymptotic expansions for closed queueing networks: normal usage, Bell System Tech. J. 61 (1982) 346-360.
    • (1982) Bell System Tech. J. , vol.61 , pp. 346-360
    • McKenna, J.1    Mitra, D.2
  • 22
    • 0021415490 scopus 로고
    • Asymptotic expansions and integral representation of queue lengths in closed Markovian networks
    • J. McKenna and D. Mitra, Asymptotic expansions and integral representation of queue lengths in closed Markovian networks, J. Assoc. Comput. Mach. 31 (1982) 346-360.
    • (1982) J. Assoc. Comput. Mach. , vol.31 , pp. 346-360
    • McKenna, J.1    Mitra, D.2
  • 23
    • 0018999918 scopus 로고
    • Mean-value analysis of closed multichain queueing networks
    • M. Reiser and S.S. Lavenberg, Mean-value analysis of closed multichain queueing networks, J. Assoc. Comput. Mach. 27 (1988) 313-322.
    • (1988) J. Assoc. Comput. Mach. , vol.27 , pp. 313-322
    • Reiser, M.1    Lavenberg, S.S.2
  • 24
    • 0020632947 scopus 로고
    • The time for a round trip in a cycle of exponential queues
    • R. Schassberger and H. Daduna, The time for a round trip in a cycle of exponential queues, J. Assoc. Comput. Mach. 30 (1980) 146-150.
    • (1980) J. Assoc. Comput. Mach. , vol.30 , pp. 146-150
    • Schassberger, R.1    Daduna, H.2
  • 25
    • 0023357838 scopus 로고
    • Sojourn times in queueing networks with multiserver nodes
    • R. Schassberger and H. Daduna, Sojourn times in queueing networks with multiserver nodes, J. Appl. Probab. 24(2) (1987) 511-521.
    • (1987) J. Appl. Probab. , vol.24 , Issue.2 , pp. 511-521
    • Schassberger, R.1    Daduna, H.2
  • 26
    • 0019552964 scopus 로고
    • The distribution of queueing network states at input and output instants
    • K.C. Sevcik and I. Mitrani, The distribution of queueing network states at input and output instants, J. Assoc. Comput. Mach. 28 (1981) 358-371.
    • (1981) J. Assoc. Comput. Mach. , vol.28 , pp. 358-371
    • Sevcik, K.C.1    Mitrani, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.