메뉴 건너뛰기




Volumn 342, Issue 1-3, 2002, Pages 93-106

Real eigenvalues of certain tridiagonal matrix polynomials, with queueing applications

Author keywords

Birth death process; Eigenvalue; Lambda matrix; Quasi birth death process; Real eigenvalue; Sturm sequence; Tridiagonal matrix; Two dimensional queue

Indexed keywords

MATRIX ALGEBRA; QUEUEING THEORY;

EID: 31244435270     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00462-1     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 0025218176 scopus 로고
    • An analytic approach to a general class of G/G/s queueing systems
    • Bertsimas, D., An analytic approach to a general class of G/G/s queueing systems. Oper. Res. 38 (1990), 139–155.
    • (1990) Oper. Res. , vol.38 , pp. 139-155
    • Bertsimas, D.1
  • 6
    • 0034339430 scopus 로고    scopus 로고
    • An analytical solution for a tandem queue with blocking
    • Grassmann, W.K., Drekic, S., An analytical solution for a tandem queue with blocking. Queueing Systems Theory Appl. 36 (2000), 221–235.
    • (2000) Queueing Systems Theory Appl. , vol.36 , pp. 221-235
    • Grassmann, W.K.1    Drekic, S.2
  • 7
    • 0030644559 scopus 로고    scopus 로고
    • Steady-state analysis of infinite stochastic Petri nets: A comparison between the spectral expansion and the matrix-geometric method
    • Proceedings of the 7th International Workshop on Petri Nets and Performance Models, Saint Malo, France, IEEE Computer Society Press, Silver Spring, MD
    • B.R. Haverkort, A. Ost, Steady-state analysis of infinite stochastic Petri nets: A comparison between the spectral expansion and the matrix-geometric method, in: Proceedings of the 7th International Workshop on Petri Nets and Performance Models, Saint Malo, France, 1997, IEEE Computer Society Press, Silver Spring, MD, pp. 36–45.
    • (1997) , pp. 36-45
    • Haverkort, B.R.1    Ost, A.2
  • 10
    • 0016941493 scopus 로고
    • A queueing model with finite waiting room and blocking
    • Konheim, A.G., Reiser, M., A queueing model with finite waiting room and blocking. J. ACM 23:2 (1976), 328–341.
    • (1976) J. ACM , vol.23 , Issue.2 , pp. 328-341
    • Konheim, A.G.1    Reiser, M.2
  • 11
    • 0002110170 scopus 로고
    • Finite capacity queueing systems with applications in computer modeling
    • Konheim, A.G., Reiser, M., Finite capacity queueing systems with applications in computer modeling. SIAM J. Comput. 7 (1978), 210–229.
    • (1978) SIAM J. Comput. , vol.7 , pp. 210-229
    • Konheim, A.G.1    Reiser, M.2
  • 12
    • 0033470642 scopus 로고    scopus 로고
    • Eigenvalues of tridiagonal pseudo Toeplitz matrices
    • Kulkarni, D., Schmidt, D., Tsui, S.-K., Eigenvalues of tridiagonal pseudo Toeplitz matrices. Linear Algebra Appl. 297 (1999), 68–86.
    • (1999) Linear Algebra Appl. , vol.297 , pp. 68-86
    • Kulkarni, D.1    Schmidt, D.2    Tsui, S.-K.3
  • 13
    • 85039739135 scopus 로고    scopus 로고
    • Introduction to Matrix Analytic Methods in Stochastic Modelling, ASA-SIAM Series on Applied Probability
    • G. Latouche, V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modelling, ASA-SIAM Series on Applied Probability, 1999.
    • (1999)
    • Latouche, G.1    Ramaswami, V.2
  • 14
    • 0001475647 scopus 로고
    • Spectral theory for the differential equations of simple birth and death processes
    • Ledermann, W., Reuter, G.E., Spectral theory for the differential equations of simple birth and death processes. Philos. Trans. Roy. Soc. London, Ser. A 246 (1954), 321–369.
    • (1954) Philos. Trans. Roy. Soc. London, Ser. A , vol.246 , pp. 321-369
    • Ledermann, W.1    Reuter, G.E.2
  • 15
    • 0000842078 scopus 로고
    • Spectral expansion solution for a class of Markov models: Application and comparison with the matrix-geometric method
    • Mitrani, I., Chakka, R., Spectral expansion solution for a class of Markov models: Application and comparison with the matrix-geometric method. Performance Evaluation 23 (1995), 241–260.
    • (1995) Performance Evaluation , vol.23 , pp. 241-260
    • Mitrani, I.1    Chakka, R.2
  • 16
    • 0001239965 scopus 로고
    • A many-server queue with service interruption
    • Mitrany, I., Avi-Itzhak, B., A many-server queue with service interruption. Oper. Res. 16:3 (1968), 628–638.
    • (1968) Oper. Res. , vol.16 , Issue.3 , pp. 628-638
    • Mitrany, I.1    Avi-Itzhak, B.2
  • 18
    • 0000803832 scopus 로고
    • Mémoire sur la résolution des équations numériques
    • Sturm, J.C.F., Mémoire sur la résolution des équations numériques. Mém Savans Etrang, 1835, 271–318.
    • (1835) Mém Savans Etrang , pp. 271-318
    • Sturm, J.C.F.1
  • 19
    • 0000733803 scopus 로고
    • On the eigenvalue problem for Toeplitz band matrices
    • Trench, W.F., On the eigenvalue problem for Toeplitz band matrices. Linear Algebra Appl. 64 (1985), 199–214.
    • (1985) Linear Algebra Appl. , vol.64 , pp. 199-214
    • Trench, W.F.1
  • 21
    • 0003391013 scopus 로고    scopus 로고
    • Efficient matrix-geometric methods for B_ISDN by using spectral decomposition of the rate matrix
    • Advances in Matrix Analytical Methods for Stochastic Models, Notable Publications, 1049 Hillcrest Drive, Neshanic Station, NJ 08853
    • K. Wuyts, R.K. Boel, Efficient matrix-geometric methods for B_ISDN by using spectral decomposition of the rate matrix, in: Advances in Matrix Analytical Methods for Stochastic Models, Notable Publications, 1049 Hillcrest Drive, Neshanic Station, NJ 08853, 1998, pp. 341–359.
    • (1998) , pp. 341-359
    • Wuyts, K.1    Boel, R.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.