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Volumn 16, Issue 4, 2002, Pages 403-426

Closed-form stochastic bounds on the stationary distribution of Markov chains

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY DISTRIBUTIONS; STOCHASTIC SYSTEMS;

EID: 26044468528     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0269964802164023     Document Type: Article
Times cited : (10)

References (15)
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    • (1996) Technical Report , vol.RR MAI-25
    • Abu-Amsha, O.1    Vincent, J.M.2
  • 2
    • 26044438976 scopus 로고    scopus 로고
    • Computing closed-form stochastic bounds on the stationary distribution of Markov chains
    • D. Gardy & A. Mokkadem (eds.), Basel: Birkhauser
    • Ben Mamoun, M. & Pekergin, N. (2000). Computing closed-form stochastic bounds on the stationary distribution of Markov chains. In D. Gardy & A. Mokkadem (eds.), Proceedings of the International Colloquium of Mathematics and Computer Science. Basel: Birkhauser, pp. 197-209.
    • (2000) Proceedings of the International Colloquium of Mathematics and Computer Science , pp. 197-209
    • Ben Mamoun, M.1    Pekergin, N.2
  • 3
    • 13444286131 scopus 로고    scopus 로고
    • Stochastic comparison, reorderings, and nearly completely decomposable Markov chains
    • B. Plateau & W. Stewart (eds.), Zaragoza, Spain: Prensas Universitarias de Zaragoza
    • Dayar, T. & Pekergin, N. (1999). Stochastic comparison, reorderings, and nearly completely decomposable Markov chains. In B. Plateau & W. Stewart (eds.), Proceedings of the International Conference on the Numerical Solution of Markov Chains (NSMC '99). Zaragoza, Spain: Prensas Universitarias de Zaragoza, pp. 228-246.
    • (1999) Proceedings of the International Conference on the Numerical Solution of Markov Chains (NSMC '99) , pp. 228-246
    • Dayar, T.1    Pekergin, N.2
  • 4
    • 0031168266 scopus 로고    scopus 로고
    • Bounding of performance measures for a threshold-based queuing systems with hysteresis
    • Golubchik, L. & Lui, J. (1997). Bounding of performance measures for a threshold-based queuing systems with hysteresis. Proceeding of ACM SIGMETRICS '97, pp. 147-157.
    • (1997) Proceeding of ACM SIGMETRICS '97 , pp. 147-157
    • Golubchik, L.1    Lui, J.2
  • 5
    • 0022131573 scopus 로고
    • Regenerative analysis and steady state distributions for Markov chains
    • Grassman, W.K., Taksar, M.I., & Heyman, D.P. (1985). Regenerative analysis and steady state distributions for Markov chains. Operations Research 13: 1107-1116.
    • (1985) Operations Research , vol.13 , pp. 1107-1116
    • Grassman, W.K.1    Taksar, M.I.2    Heyman, D.P.3
  • 8
    • 0342484794 scopus 로고
    • Stochastic convexity and concavity of Markov processes
    • Li, H. & Shaked, M. (1994). Stochastic convexity and concavity of Markov processes. Mathematics in Operations Research 19(2): 477-493.
    • (1994) Mathematics in Operations Research , vol.19 , Issue.2 , pp. 477-493
    • Li, H.1    Shaked, M.2
  • 9
    • 84938172584 scopus 로고
    • Bounding the mean response time of the minimum expected delay routing policy: An algorithmic approach
    • Lui, J., Muntz, R., & Towsley, D. (1995). Bounding the mean response time of the minimum expected delay routing policy: An algorithmic approach. IEEE Transactions on Computers 44(12): 1371-1382.
    • (1995) IEEE Transactions on Computers , vol.44 , Issue.12 , pp. 1371-1382
    • Lui, J.1    Muntz, R.2    Towsley, D.3
  • 10
    • 0032022053 scopus 로고    scopus 로고
    • Computing performance bounds of Fork-Join parallel programs under a multiprocessing environment
    • Lui, J., Muntz, R., & Towsley, D. (1998). Computing performance bounds of Fork-Join parallel programs under a multiprocessing environment. IEEE Transactions on Parallel and Distributed Systems 9(3): 295-311.
    • (1998) IEEE Transactions on Parallel and Distributed Systems , vol.9 , Issue.3 , pp. 295-311
    • Lui, J.1    Muntz, R.2    Towsley, D.3
  • 11
    • 0033169499 scopus 로고    scopus 로고
    • Stochastic performance bounds by state space reduction
    • Pekergin, N. (1999). Stochastic performance bounds by state space reduction. Performance Evaluation 36-37: 1-17.
    • (1999) Performance Evaluation , vol.36-37 , pp. 1-17
    • Pekergin, N.1
  • 14
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    • Determination of the optimal upper bound of a Markovian Generator
    • LGI-IMAG, Grenoble, France
    • Tremolieres, M., Vincent, J.M., & Plateau, B. (1992). Determination of the optimal upper bound of a Markovian Generator. Technical Report 106, LGI-IMAG, Grenoble, France.
    • (1992) Technical Report , vol.106
    • Tremolieres, M.1    Vincent, J.M.2    Plateau, B.3
  • 15
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    • Near complete decomposability: Bounding the error by stochastic comparison method
    • Truffet, L. (1997). Near complete decomposability: Bounding the error by stochastic comparison method. Advances in Applied Probability 29: 830-835.
    • (1997) Advances in Applied Probability , vol.29 , pp. 830-835
    • Truffet, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.