메뉴 건너뛰기




Volumn 26, Issue 3-4, 1997, Pages 301-342

Transient and stationary waiting times in (max, +)-linear systems with poisson input

Author keywords

Analyticity; Poisson input; Queueing networks; Stochastic Petri nets; Taylor series expansion; Vectorial recurrence equation; Waiting times

Indexed keywords

DISCRETE EVENT SIMULATION; EXPANSION; LINEAR SYSTEMS; PETRI NETS; POISSON EQUATION; QUEUEING THEORY; STOCHASTIC SYSTEMS;

EID: 0031312232     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019141510202     Document Type: Article
Times cited : (23)

References (12)
  • 3
    • 0030538346 scopus 로고    scopus 로고
    • Taylor series expansions for poisson driven (max, +)-linear systems
    • F. Baccelli and V. Schmidt, Taylor series expansions for Poisson driven (max, +)-linear systems, Ann. Appl. Probab. 6 (1996) 138-185.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 138-185
    • Baccelli, F.1    Schmidt, V.2
  • 4
    • 0001518098 scopus 로고
    • The MacLaurin series for the GI/G/1 queue
    • W.B. Gong and J.Q. Hu, The MacLaurin series for the GI/G/1 queue, J. Appl. Probab. 29 (1992) 176-184.
    • (1992) J. Appl. Probab. , vol.29 , pp. 176-184
    • Gong, W.B.1    Hu, J.Q.2
  • 5
    • 21844516145 scopus 로고
    • Analyticity of single-server queues in light traffic
    • J.Q. Hu, Analyticity of single-server queues in light traffic, Queueing Systems 19 (1995) 63-80.
    • (1995) Queueing Systems , vol.19 , pp. 63-80
    • Hu, J.Q.1
  • 6
    • 0030233188 scopus 로고    scopus 로고
    • The departure process of the GI/G/1 queue and its MacLaurin series
    • J.Q. Hu, The departure process of the GI/G/1 queue and its MacLaurin series, Oper. Res. 44 (1996) 810-815.
    • (1996) Oper. Res. , vol.44 , pp. 810-815
    • Hu, J.Q.1
  • 7
    • 21344499172 scopus 로고
    • A new approach to (s,S) inventory problems
    • J.Q. Hu, S. Nananuku and W.B. Gong, A new approach to (s,S) inventory problems, J. Appl. Probab. 30 (1994) 898-912.
    • (1994) J. Appl. Probab. , vol.30 , pp. 898-912
    • Hu, J.Q.1    Nananuku, S.2    Gong, W.B.3
  • 9
    • 0024012453 scopus 로고
    • An interpolation approximation for queueing systems with poisson input
    • M.I. Reiman and B. Simon, An interpolation approximation for queueing systems with Poisson input, Oper. Res. 36 (1988) 454-469.
    • (1988) Oper. Res. , vol.36 , pp. 454-469
    • Reiman, M.I.1    Simon, B.2
  • 10
    • 0003129184 scopus 로고
    • Open queueing systems in light traffic
    • M.I. Reiman and B. Simon, Open queueing systems in light traffic, Math. Oper. Res. 14 (1989) 26-59.
    • (1989) Math. Oper. Res. , vol.14 , pp. 26-59
    • Reiman, M.I.1    Simon, B.2
  • 12
    • 0000676350 scopus 로고
    • Analyticity of poisson-driven stochastic systems
    • M.A. Zazanis, Analyticity of Poisson-driven stochastic systems, Adv. Appl. Probab. 24 (1992) 532-541.
    • (1992) Adv. Appl. Probab. , vol.24 , pp. 532-541
    • Zazanis, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.