-
1
-
-
0038447790
-
Understanding the shape of the hazard rate: A process point of view
-
Aalen O.O., and Gjessing H.K. Understanding the shape of the hazard rate: A process point of view. Statistical Science 16 1 (2001) 1-22
-
(2001)
Statistical Science
, vol.16
, Issue.1
, pp. 1-22
-
-
Aalen, O.O.1
Gjessing, H.K.2
-
2
-
-
0002652166
-
On the Laguerre method for numerically inverting Laplace transforms
-
Abate J., Choudhury G.L., and Whitt W. On the Laguerre method for numerically inverting Laplace transforms. INFORMS Journal on Computing 8 4 (1996) 413-427
-
(1996)
INFORMS Journal on Computing
, vol.8
, Issue.4
, pp. 413-427
-
-
Abate, J.1
Choudhury, G.L.2
Whitt, W.3
-
3
-
-
27544447048
-
The Fourier-series method for inverting transforms of probability distributions
-
Abate J., and Whitt W. The Fourier-series method for inverting transforms of probability distributions. Queueing Systems 10 1 (1992) 5-88
-
(1992)
Queueing Systems
, vol.10
, Issue.1
, pp. 5-88
-
-
Abate, J.1
Whitt, W.2
-
5
-
-
0002909760
-
Phase-type distributions and related point processes: Fitting and recent advances
-
Matrix-Analytic Methods in Stochastic Models. Chakravarty S.R., and Alfa A.S. (Eds), Marcel Dekker, New York
-
Asmussen S. Phase-type distributions and related point processes: Fitting and recent advances. In: Chakravarty S.R., and Alfa A.S. (Eds). Matrix-Analytic Methods in Stochastic Models. Lecture Notes in Pure and Appl. Math. vol. 183 (1997), Marcel Dekker, New York 137-149
-
(1997)
Lecture Notes in Pure and Appl. Math.
, vol.183
, pp. 137-149
-
-
Asmussen, S.1
-
6
-
-
0034336046
-
Matrix-analytic models and their analysis
-
Asmussen S. Matrix-analytic models and their analysis. Scandinavian Journal of Statistics 27 2 (2000) 193-226
-
(2000)
Scandinavian Journal of Statistics
, vol.27
, Issue.2
, pp. 193-226
-
-
Asmussen, S.1
-
7
-
-
0001338883
-
Renewal theory and queueing algorithms for matrix-exponential distributions
-
Matrix-Analytic Methods in Stochastic Models. Chakravarty S.R., and Alfa A.S. (Eds), Marcel Dekker, New York
-
Asmussen S., and Bladt M. Renewal theory and queueing algorithms for matrix-exponential distributions. In: Chakravarty S.R., and Alfa A.S. (Eds). Matrix-Analytic Methods in Stochastic Models. Lecture Notes in Pure and Appl. Math. vol. 183 (1997), Marcel Dekker, New York 313-341
-
(1997)
Lecture Notes in Pure and Appl. Math.
, vol.183
, pp. 313-341
-
-
Asmussen, S.1
Bladt, M.2
-
8
-
-
0043123281
-
Acyclic discrete phase type distributions: Properties and a parameter estimation algorithm
-
Bobbio A., Horváth A., Scarpa M., and Telek M. Acyclic discrete phase type distributions: Properties and a parameter estimation algorithm. Performance Evaluation 54 1 (2003) 1-32
-
(2003)
Performance Evaluation
, vol.54
, Issue.1
, pp. 1-32
-
-
Bobbio, A.1
Horváth, A.2
Scarpa, M.3
Telek, M.4
-
9
-
-
1042265746
-
The scale factor: A new degree of freedom in phase-type approximation
-
Bobbio A., Horváth A., and Telek M. The scale factor: A new degree of freedom in phase-type approximation. Performance Evaluation 56 1-4 (2004) 121-144
-
(2004)
Performance Evaluation
, vol.56
, Issue.1-4
, pp. 121-144
-
-
Bobbio, A.1
Horváth, A.2
Telek, M.3
-
10
-
-
27944499280
-
Matching three moments with minimal acyclic phase type distributions
-
Bobbio A., Horváth A., and Telek M. Matching three moments with minimal acyclic phase type distributions. Stochastic Models 21 2-3 (2005) 303-326
-
(2005)
Stochastic Models
, vol.21
, Issue.2-3
, pp. 303-326
-
-
Bobbio, A.1
Horváth, A.2
Telek, M.3
-
11
-
-
0001495769
-
Reliabilities for feedback systems and their saddlepoint approximation
-
Butler R.W. Reliabilities for feedback systems and their saddlepoint approximation. Statistical Science 15 3 (2000) 279-298
-
(2000)
Statistical Science
, vol.15
, Issue.3
, pp. 279-298
-
-
Butler, R.W.1
-
13
-
-
0034343745
-
Bayesian prediction of waiting times in stochastic models
-
Butler R.W., and Huzurbazar A.V. Bayesian prediction of waiting times in stochastic models. The Canadian Journal of Statistics 28 2 (2000) 311-325
-
(2000)
The Canadian Journal of Statistics
, vol.28
, Issue.2
, pp. 311-325
-
-
Butler, R.W.1
Huzurbazar, A.V.2
-
16
-
-
33947121404
-
-
G. Ciardo et al., SMART: Stochastic Model Checking Analyzer for Reliability and Timing, Version 1.1, University of California, Riverside, Department of Computer Science and Engineering, Riverside, CA, USA, 2004
-
-
-
-
18
-
-
10844256700
-
Uniformization and hypergraph partitioning for the distributed computation of response time in very large Markov models
-
Dingle N.J., Harrison P.G., and Knottenbelt W.J. Uniformization and hypergraph partitioning for the distributed computation of response time in very large Markov models. Journal of Parallel and Distributed Computing 64 8 (2004) 908-920
-
(2004)
Journal of Parallel and Distributed Computing
, vol.64
, Issue.8
, pp. 908-920
-
-
Dingle, N.J.1
Harrison, P.G.2
Knottenbelt, W.J.3
-
19
-
-
0031701596
-
Fitting mixtures of exponentials to long-tail distributions to analyze network performance models
-
Feldmann A., and Whitt W. Fitting mixtures of exponentials to long-tail distributions to analyze network performance models. Performance Evaluation 31 3-4 (1998) 245-279
-
(1998)
Performance Evaluation
, vol.31
, Issue.3-4
, pp. 245-279
-
-
Feldmann, A.1
Whitt, W.2
-
21
-
-
0021385426
-
The randomization technique as a modeling tool and solution procedure for transient Markov processes
-
Gross D., and Miller D.R. The randomization technique as a modeling tool and solution procedure for transient Markov processes. Operations Research 32 2 (1984) 343-361
-
(1984)
Operations Research
, vol.32
, Issue.2
, pp. 343-361
-
-
Gross, D.1
Miller, D.R.2
-
22
-
-
0027544542
-
A moment generating function approach for evaluating extended stochastic Petri nets
-
Guo D., DiCesare F., and Zhou M. A moment generating function approach for evaluating extended stochastic Petri nets. IEEE Transactions on Automatic Control 38 2 (1993) 321-327
-
(1993)
IEEE Transactions on Automatic Control
, vol.38
, Issue.2
, pp. 321-327
-
-
Guo, D.1
DiCesare, F.2
Zhou, M.3
-
23
-
-
0002055502
-
Laplace transform inversion and passage-time distributions in Markov processes
-
Harrison P.G. Laplace transform inversion and passage-time distributions in Markov processes. Journal of Applied Probability 27 1 (1990) 74-87
-
(1990)
Journal of Applied Probability
, vol.27
, Issue.1
, pp. 74-87
-
-
Harrison, P.G.1
-
25
-
-
84898077292
-
PhFit: A general phase-type fitting tool
-
Proc. of 12th Performance TOOLS, Imperial College, London, UK
-
Horváth A., and Telek M. PhFit: A general phase-type fitting tool. Proc. of 12th Performance TOOLS. Lecture Notes in Computer Science vol. 2324 (2002), Imperial College, London, UK 82-91
-
(2002)
Lecture Notes in Computer Science
, vol.2324
, pp. 82-91
-
-
Horváth, A.1
Telek, M.2
-
29
-
-
2342461883
-
Signal-flow graphs and random signals
-
Huggins W.H. Signal-flow graphs and random signals. Proceedings of the IRE 45 1 (1957) 74-86
-
(1957)
Proceedings of the IRE
, vol.45
, Issue.1
, pp. 74-86
-
-
Huggins, W.H.1
-
30
-
-
0033240220
-
Flowgraph models for generalized phase type distributions having non-exponential waiting times
-
Huzurbazar A.V. Flowgraph models for generalized phase type distributions having non-exponential waiting times. Scandinavian Journal of Statistics 26 1 (1999) 145-157
-
(1999)
Scandinavian Journal of Statistics
, vol.26
, Issue.1
, pp. 145-157
-
-
Huzurbazar, A.V.1
-
31
-
-
33947179182
-
Graph-theoretic analysis of finite Markov chains
-
Shier D.R., and Wallenius K.T. (Eds), CRC Press (Chapter 13)
-
Jarvis J.P., and Shier D.R. Graph-theoretic analysis of finite Markov chains. In: Shier D.R., and Wallenius K.T. (Eds). Applied Mathematical Modeling: A Multidisciplinary Approach (1999), CRC Press (Chapter 13)
-
(1999)
Applied Mathematical Modeling: A Multidisciplinary Approach
-
-
Jarvis, J.P.1
Shier, D.R.2
-
32
-
-
84945610644
-
Markoff chains as an aid in the study of Markoff processes
-
Jensen A. Markoff chains as an aid in the study of Markoff processes. Skandinavisk Aktuarietidskrift XXXVI (1953) 87-91
-
(1953)
Skandinavisk Aktuarietidskrift
, vol.XXXVI
, pp. 87-91
-
-
Jensen, A.1
-
33
-
-
0000879675
-
Parameter approximation for phase-type distributions
-
Matrix-Analytic Methods in Stochastic Models. Chakravarty S.R., and Alfa A.S. (Eds), Marcel Dekker, New York
-
Lang A., and Arthur J.L. Parameter approximation for phase-type distributions. In: Chakravarty S.R., and Alfa A.S. (Eds). Matrix-Analytic Methods in Stochastic Models. Lecture Notes in Pure and Appl. Math. vol. 183 (1997), Marcel Dekker, New York 151-206
-
(1997)
Lecture Notes in Pure and Appl. Math.
, vol.183
, pp. 151-206
-
-
Lang, A.1
Arthur, J.L.2
-
35
-
-
33845866198
-
Selecting and implementing phase approximations for semi-Markov models
-
Malhotra M., and Reibman A. Selecting and implementing phase approximations for semi-Markov models. Stochastic Models 9 3 (1993) 473-506
-
(1993)
Stochastic Models
, vol.9
, Issue.3
, pp. 473-506
-
-
Malhotra, M.1
Reibman, A.2
-
36
-
-
84899344001
-
Feedback theory-some properties of signal flow graphs
-
Mason S.J. Feedback theory-some properties of signal flow graphs. Proceedings of the IRE 41 9 (1953) 1144-1156
-
(1953)
Proceedings of the IRE
, vol.41
, Issue.9
, pp. 1144-1156
-
-
Mason, S.J.1
-
39
-
-
0021468768
-
Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes
-
Melamed B., and Yadin M. Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes. Operations Research 32 4 (1984) 926-944
-
(1984)
Operations Research
, vol.32
, Issue.4
, pp. 926-944
-
-
Melamed, B.1
Yadin, M.2
-
40
-
-
0018517927
-
Recent advances in temporal analysis of GERT networks
-
Neumann K. Recent advances in temporal analysis of GERT networks. Zeitschrift für Operations Research 23 5 (1979) 153-177
-
(1979)
Zeitschrift für Operations Research
, vol.23
, Issue.5
, pp. 153-177
-
-
Neumann, K.1
-
41
-
-
33947163708
-
Probability distributions of phase type
-
Matrix-Geometric Solutions in Stochastic Models, Johns Hopkins, Baltimore, MD, USA (Chapter 2)
-
Neuts M.F. Probability distributions of phase type. Matrix-Geometric Solutions in Stochastic Models. Johns Hopkins Series in the Mathematical Sciences (1981), Johns Hopkins, Baltimore, MD, USA 41-80 (Chapter 2)
-
(1981)
Johns Hopkins Series in the Mathematical Sciences
, pp. 41-80
-
-
Neuts, M.F.1
-
43
-
-
0000519232
-
Phase-type distributions: open problems and a few properties
-
O'Cinneide C.A. Phase-type distributions: open problems and a few properties. Communications in Statistics-Stochastic Models 15 4 (1999) 731-757
-
(1999)
Communications in Statistics-Stochastic Models
, vol.15
, Issue.4
, pp. 731-757
-
-
O'Cinneide, C.A.1
-
44
-
-
33947115600
-
-
T. Osogami, M. Harchol-Balter, Necessary and sufficient conditions for representing general distributions by Coxians, Technical Report CMU-CS-02-178, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA, 2002
-
-
-
-
45
-
-
33947109678
-
-
T. Osogami, M. Harchol-Balter, A closed-form solution for mapping general distributions to minimal PH distributions, Technical Report CMU-CS-03-114, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA, 2003
-
-
-
-
46
-
-
29344444755
-
-
T. Osogami, M. Harchol-Balter, Necessary and sufficient conditions for representing general distributions by Coxians, in: Proceedings of the 13th International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, TOOLS 2003, Urbana, IL, USA, 2003, pp. 182-199
-
-
-
-
47
-
-
35248889836
-
-
T. Osogami, M. Harchol-Balter, A closed-form solution for mapping general distributions to minimal PH distributions, in: Proceedings of the 13th International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, TOOLS 2003, Urbana, IL, USA, 2003, pp. 200-217
-
-
-
-
48
-
-
0000302001
-
GERT: Graphical Evaluation and Review Technique. Part I. Fundamentals
-
Pritsker A.A.B., and Happ W.W. GERT: Graphical Evaluation and Review Technique. Part I. Fundamentals. The Journal of Industrial Engineering XVII 5 (1966) 267-274
-
(1966)
The Journal of Industrial Engineering
, vol.XVII
, Issue.5
, pp. 267-274
-
-
Pritsker, A.A.B.1
Happ, W.W.2
-
49
-
-
0000302002
-
GERT: Graphical Evaluation and Review Technique. Part II. Probabilistic and industrial engineering applications
-
Pritsker A.A.B., and Whitehouse G.E. GERT: Graphical Evaluation and Review Technique. Part II. Probabilistic and industrial engineering applications. The Journal of Industrial Engineering XVII 6 (1966) 293-301
-
(1966)
The Journal of Industrial Engineering
, vol.XVII
, Issue.6
, pp. 293-301
-
-
Pritsker, A.A.B.1
Whitehouse, G.E.2
-
50
-
-
0000936304
-
Markov renewal processes with finitely many states
-
Pyke R. Markov renewal processes with finitely many states. Annals of Mathematical Statistics 32 (1961) 1243-1259
-
(1961)
Annals of Mathematical Statistics
, vol.32
, pp. 1243-1259
-
-
Pyke, R.1
-
52
-
-
0000183794
-
Transient analysis of cumulative measures of Markov model behavior
-
Reibman A., and Trivedi K. Transient analysis of cumulative measures of Markov model behavior. Communications in Statistics-Stochastic Models 5 4 (1989) 683-710
-
(1989)
Communications in Statistics-Stochastic Models
, vol.5
, Issue.4
, pp. 683-710
-
-
Reibman, A.1
Trivedi, K.2
-
53
-
-
0242443261
-
An EM-based technique for approximating long-tailed data sets with PH distributions
-
Riska A., Diev V., and Smirni E. An EM-based technique for approximating long-tailed data sets with PH distributions. Performance Evaluation 55 1-2 (2004) 147-164
-
(2004)
Performance Evaluation
, vol.55
, Issue.1-2
, pp. 147-164
-
-
Riska, A.1
Diev, V.2
Smirni, E.3
-
54
-
-
0003382987
-
SPH-distributions and the rectangle-iterative algorithm
-
Matrix-Analytic Methods in Stochastic Models. Chakravarty S.R., and Alfa A.S. (Eds), Marcel Dekker, New York
-
Shi D., Guo J., and Liu L. SPH-distributions and the rectangle-iterative algorithm. In: Chakravarty S.R., and Alfa A.S. (Eds). Matrix-Analytic Methods in Stochastic Models. Lecture Notes in Pure and Appl. Math. vol. 183 (1997), Marcel Dekker, New York 207-224
-
(1997)
Lecture Notes in Pure and Appl. Math.
, vol.183
, pp. 207-224
-
-
Shi, D.1
Guo, J.2
Liu, L.3
-
55
-
-
0001348910
-
Systems analysis of discrete Markov processes
-
Sittler R.W. Systems analysis of discrete Markov processes. IRE Transactions on Circuit Theory 3 4 (1956) 257-266
-
(1956)
IRE Transactions on Circuit Theory
, vol.3
, Issue.4
, pp. 257-266
-
-
Sittler, R.W.1
-
56
-
-
0034487471
-
On first-order Markov modeling for the Rayleigh fading channel
-
Tan C.C., and Beaulieu N.C. On first-order Markov modeling for the Rayleigh fading channel. IEEE Transactions on Communications 48 12 (2000) 2032-2040
-
(2000)
IEEE Transactions on Communications
, vol.48
, Issue.12
, pp. 2032-2040
-
-
Tan, C.C.1
Beaulieu, N.C.2
-
57
-
-
33749465356
-
A graph-theoretic approach to queueing analysis. Part I: Theory
-
Tang C., and Yeung R.W. A graph-theoretic approach to queueing analysis. Part I: Theory. Communications in Statistics-Stochastic Models 15 5 (1999) 791-824
-
(1999)
Communications in Statistics-Stochastic Models
, vol.15
, Issue.5
, pp. 791-824
-
-
Tang, C.1
Yeung, R.W.2
-
58
-
-
84925164788
-
Matching moments for acyclic discrete and continuous phase-type distributions of second order
-
Telek M., and Heindl A. Matching moments for acyclic discrete and continuous phase-type distributions of second order. International Journal of Simulation 3 3-4 (2003) 47-57
-
(2003)
International Journal of Simulation
, vol.3
, Issue.3-4
, pp. 47-57
-
-
Telek, M.1
Heindl, A.2
-
61
-
-
2942522773
-
Dynamic priority queuing of handover calls in wireless networks: An analytical framework
-
Xhafa A., and Tonguz O.K. Dynamic priority queuing of handover calls in wireless networks: An analytical framework. IEEE Journal on Selected Areas in Communications 22 5 (2004) 904-916
-
(2004)
IEEE Journal on Selected Areas in Communications
, vol.22
, Issue.5
, pp. 904-916
-
-
Xhafa, A.1
Tonguz, O.K.2
-
62
-
-
0041657384
-
A proof of the steepest increase conjecture of a phase-type density
-
Yao R. A proof of the steepest increase conjecture of a phase-type density. Stochastic Models 18 1 (2002) 1-6
-
(2002)
Stochastic Models
, vol.18
, Issue.1
, pp. 1-6
-
-
Yao, R.1
-
64
-
-
0041989083
-
Automating Mason's rule and its application to analysis of stochastic Petri nets
-
Zhou M.C., Wang C.-H., and Zhao X. Automating Mason's rule and its application to analysis of stochastic Petri nets. IEEE Transactions on Control Systems Technology 3 2 (1995) 238-244
-
(1995)
IEEE Transactions on Control Systems Technology
, vol.3
, Issue.2
, pp. 238-244
-
-
Zhou, M.C.1
Wang, C.-H.2
Zhao, X.3
|