-
1
-
-
0003652825
-
-
Wiley New York
-
Ajmone Marsan M, Balbo G, Conte G, Donatelli S, Franceschinis G (1995) Modeling with generalised stochastic Petri nets. Wiley, New York
-
(1995)
Modeling with Generalised Stochastic Petri Nets
-
-
Ajmone Marsan, M.1
Balbo, G.2
Conte, G.3
Donatelli, S.4
Franceschinis, G.5
-
2
-
-
35048822416
-
Discrete-time rewards model-checked
-
Springer Berlin
-
Andova S, Hermanns H, Katoen J-P (2003) Discrete-time rewards model-checked. In: Proceedings of the international workshop on formal modeling and analysis of timed systems (FORMATS'03). Lecture notes in computer science, vol 2791. Springer, Berlin, pp 88-104
-
(2003)
Proceedings of the International Workshop on Formal Modeling and Analysis of Timed Systems (FORMATS'03). Lecture Notes in Computer Science
, vol.2791
, pp. 88-104
-
-
Andova, S.1
Hermanns, H.2
Katoen, J.-P.3
-
4
-
-
84957369657
-
Verifying continuous-time Markov chains
-
Springer Berlin
-
Aziz A, Sanwal K, Singhal V, Brayton R (1996) Verifying continuous-time Markov chains. In: Proceedings of the 8th international conference on computer aided verification (CAV'96). Lecture notes in computer science, vol 1102. Springer, Berlin, pp 269-276
-
(1996)
Proceedings of the 8th International Conference on Computer Aided Verification (CAV'96). Lecture Notes in Computer Science
, vol.1102
, pp. 269-276
-
-
Aziz, A.1
Sanwal, K.2
Singhal, V.3
Brayton, R.4
-
5
-
-
84941709469
-
Model-checking continuous-time Markov chains
-
10.1145/343369.343402 1858826
-
A Aziz K Sanwal V Singhal R Brayton 2000 Model-checking continuous-time Markov chains ACM Trans Comput Logic 1 1 162 170 10.1145/343369.343402 1858826
-
(2000)
ACM Trans Comput Logic
, vol.1
, Issue.1
, pp. 162-170
-
-
Aziz, A.1
Sanwal, K.2
Singhal, V.3
Brayton, R.4
-
7
-
-
41149144239
-
Approximate symbolic model checking of continuous-time Markov chains
-
Springer Berlin. 10.1007/3-540-48320-9-12
-
Baier C, Katoen J-P, Hermanns H (1999) Approximate symbolic model checking of continuous-time Markov chains. In: Proceedings of the 10th international conference on concurrency theory (CONCUR'99). Lecture notes in computer science, vol 1664. Springer, Berlin, pp 146-161
-
(1999)
Proceedings of the 10th International Conference on Concurrency Theory (CONCUR'99). Lecture Notes in Computer Science
, vol.1664
, pp. 146-161
-
-
Baier, C.1
Katoen, J.-P.2
Hermanns, H.3
-
8
-
-
84944391391
-
Model checking continuous-time Markov chains by transient analysis
-
Springer Berlin. 10.1007/10722167-28
-
Baier C, Haverkort BR, Hermanns H, Katoen J-P (2000) Model checking continuous-time Markov chains by transient analysis. In: Proceedings of the 12th international conference on computer aided verification (CAV'00). Lecture notes in computer science, vol 1855. Springer, Berlin, pp 358-372
-
(2000)
Proceedings of the 12th International Conference on Computer Aided Verification (CAV'00). Lecture Notes in Computer Science
, vol.1855
, pp. 358-372
-
-
Baier, C.1
Haverkort, B.R.2
Hermanns, H.3
Katoen, J.-P.4
-
9
-
-
84974622233
-
On the logical characterisation of performability properties
-
Springer Berlin. 10.1007/3-540-45022-X-65
-
Baier C, Haverkort BR, Hermanns H, Katoen J-P (2000) On the logical characterisation of performability properties. In: Proceedings of the 27th international colloquium on automata, languages and programming (ICALP'00). Lecture notes in computer science, vol 1853. Springer, Berlin, pp 780-792
-
(2000)
Proceedings of the 27th International Colloquium on Automata, Languages and Programming (ICALP'00). Lecture Notes in Computer Science
, vol.1853
, pp. 780-792
-
-
Baier, C.1
Haverkort, B.R.2
Hermanns, H.3
Katoen, J.-P.4
-
10
-
-
0042349303
-
Model-checking algorithms for continuous-time Markov chains
-
10.1109/TSE.2003.1205180
-
C Baier BR Haverkort H Hermanns J-P Katoen 2003 Model-checking algorithms for continuous-time Markov chains IEEE Trans Softw Eng 29 6 524 541 10.1109/TSE.2003.1205180
-
(2003)
IEEE Trans Softw Eng
, vol.29
, Issue.6
, pp. 524-541
-
-
Baier, C.1
Haverkort, B.R.2
Hermanns, H.3
Katoen, J.-P.4
-
12
-
-
0017983601
-
Performance-related reliability measures for computing systems
-
0377.68006 10.1109/TC.1978.1675145
-
MD Beaudry 1978 Performance-related reliability measures for computing systems IEEE Trans Comput 27 6 540 547 0377.68006 10.1109/TC.1978.1675145
-
(1978)
IEEE Trans Comput
, vol.27
, Issue.6
, pp. 540-547
-
-
Beaudry, M.D.1
-
13
-
-
38249014243
-
Distribution of the minimal completion time of parallel tasks in multi-reward semi-Markov models
-
0751.68007 10.1016/0166-5316(92)90007-4 1160279
-
A Bobbio L Roberti 1992 Distribution of the minimal completion time of parallel tasks in multi-reward semi-Markov models Perform Eval 14 239 256 0751.68007 10.1016/0166-5316(92)90007-4 1160279
-
(1992)
Perform Eval
, vol.14
, pp. 239-256
-
-
Bobbio, A.1
Roberti, L.2
-
18
-
-
27544471053
-
Model checking Markov reward models with impulse rewards
-
IEEE Press New York. 10.1109/DSN.2005.64
-
Cloth L, Katoen J-P, Khattri M, Pulungan R (2005) Model checking Markov reward models with impulse rewards. In: International conference on dependable systems and networks (DSN'05). IEEE Press, New York, pp 722-731
-
(2005)
International Conference on Dependable Systems and Networks (DSN'05)
, pp. 722-731
-
-
Cloth, L.1
Katoen, J.-P.2
Khattri, M.3
Pulungan, R.4
-
21
-
-
4143072032
-
Calculating the distribution of a linear combination of uniform order statistics
-
10.1287/ijoc.14.2.124.121 1902176
-
MC Diniz E de Souza e Silva HR Gail 2002 Calculating the distribution of a linear combination of uniform order statistics INFORMS J Comput 14 2 124 131 10.1287/ijoc.14.2.124.121 1902176
-
(2002)
INFORMS J Comput
, vol.14
, Issue.2
, pp. 124-131
-
-
Diniz, M.C.1
De Souza E Silva, E.2
Gail, H.R.3
-
22
-
-
0031097394
-
Design of embedded systems: Formal models, validation and synthesis
-
10.1109/5.558710
-
S Edwards L Lavagno E Lee A Sangiovanni-Vincentelli 1997 Design of embedded systems: formal models, validation and synthesis Proc IEEE 85 3 366 390 10.1109/5.558710
-
(1997)
Proc IEEE
, vol.85
, Issue.3
, pp. 366-390
-
-
Edwards, S.1
Lavagno, L.2
Lee, E.3
Sangiovanni-Vincentelli, A.4
-
23
-
-
0020226119
-
Using branching time temporal logic to synthesize synchronization skeletons
-
DOI 10.1016/0167-6423(83)90017-5
-
E Emerson E Clarke 1982 Using branching time temporal logic to synthesize synchronization skeletons Sci Comput Program 2 241 266 0514.68032 10.1016/0167-6423(83)90017-5 (Pubitemid 14566074)
-
(1982)
Science of Computer Programming
, vol.2
, Issue.3
, pp. 241-266
-
-
Emerson E.Allen1
Clarke Edmund, M.2
-
25
-
-
0023999020
-
Computing Poisson probabilities
-
DOI 10.1145/42404.42409
-
BL Fox PW Glynn 1988 Computing Poisson probabilities Commun ACM 31 4 440 445 10.1145/42404.42409 933227 (Pubitemid 18593345)
-
(1988)
Communications of the ACM
, vol.31
, Issue.4
, pp. 440-445
-
-
Fox Bennett, L.1
Glynn Peter, W.2
-
27
-
-
0023857022
-
Measure of guaranteed availability and its numerical evaluation
-
DOI 10.1109/12.75148
-
A Goyal A Tantawi 1988 A measure of guaranteed availability and its numerical evaluation IEEE Trans Comput 37 25 32 10.1109/12.75148 (Pubitemid 18595991)
-
(1988)
IEEE Transactions on Computers
, vol.37
, Issue.1
, pp. 25-32
-
-
Goyal Ambuj1
Tantawi Asser, N.2
-
28
-
-
0040862006
-
Finding transient solutions in Markovian event systems through randomization
-
W. Stewart (eds). Dekker New York
-
Grassmann WK (1991) Finding transient solutions in Markovian event systems through randomization. In: Stewart W (ed) Numerical solution of Markov chains. Dekker, New York, pp 357-371
-
(1991)
Numerical Solution of Markov Chains
, pp. 357-371
-
-
Grassmann, W.K.1
-
29
-
-
0021385426
-
The randomization technique as a modeling tool and solution procedure for transient Markov processes
-
0536.60078 10.1287/opre.32.2.343 747747
-
D Gross DR Miller 1984 The randomization technique as a modeling tool and solution procedure for transient Markov processes Oper Res 32 2 343 361 0536.60078 10.1287/opre.32.2.343 747747
-
(1984)
Oper Res
, vol.32
, Issue.2
, pp. 343-361
-
-
Gross, D.1
Miller, D.R.2
-
30
-
-
84923278265
-
On reduction criteria for probabilistic reward models
-
Springer Berlin. 10.1007/11944836-29
-
Gröer M, Norman G, Baier C, Ciesinski F, Kwiatkowska MZ, Parker D (2006) On reduction criteria for probabilistic reward models. In: Foundations of software technology and theoretical computer science (FSTTCS). Lecture notes in computer science, vol 4337. Springer, Berlin, pp 309-320
-
(2006)
Foundations of Software Technology and Theoretical Computer Science (FSTTCS). Lecture Notes in Computer Science
, vol.4337
, pp. 309-320
-
-
Gröer, M.1
Norman, G.2
Baier, C.3
Ciesinski, F.4
Kwiatkowska, M.Z.5
Parker, D.6
-
31
-
-
0003096318
-
A logic for reasoning about time and reliability
-
0820.68113 10.1007/BF01211866
-
H Hansson B Jonsson 1994 A logic for reasoning about time and reliability Form Asp Comput 6 512 535 0820.68113 10.1007/BF01211866
-
(1994)
Form Asp Comput
, vol.6
, pp. 512-535
-
-
Hansson, H.1
Jonsson, B.2
-
32
-
-
0027626959
-
Approximate performability and dependability analysis using generalized stochastic Petri nets
-
DOI 10.1016/0166-5316(93)90027-R
-
BR Haverkort 1993 Approximate performability and dependability analysis using generalized stochastic Petri nets Perform Eval 18 1 61 78 0848.68008 10.1016/0166-5316(93)90027-R (Pubitemid 23710401)
-
(1993)
Performance Evaluation
, vol.18
, Issue.1
, pp. 61-78
-
-
Haverkort Boudewijn, R.1
-
35
-
-
1642398118
-
-
B.R. Haverkort R. Marie G. Rubino K.S. Trivedi (eds). Wiley New York
-
Haverkort BR, Marie R, Rubino G, Trivedi KS (eds) (2001) Performability modelling. Wiley, New York
-
(2001)
Performability Modelling
-
-
-
36
-
-
0036922038
-
Model checking performability properties
-
IEEE Press New York
-
Haverkort BR, Cloth L, Hermanns H, Katoen J-P, Baier C (2002) Model checking performability properties. In: Proceedings of the international conference on dependable systems and networks (DSN'02). IEEE Press, New York, pp 102-112
-
(2002)
Proceedings of the International Conference on Dependable Systems and Networks (DSN'02)
, pp. 102-112
-
-
Haverkort, B.R.1
Cloth, L.2
Hermanns, H.3
Katoen, J.-P.4
Baier, C.5
-
37
-
-
0037028876
-
Process algebra for performance evaluation
-
DOI 10.1016/S0304-3975(00)00305-4, PII S0304397500003054
-
H Hermanns U Herzog J-P Katoen 2002 Process algebra for performance evaluation Theor Comput Sci 274 1-2 43 87 0992.68149 10.1016/S0304-3975(00) 00305-4 1887146 (Pubitemid 34189250)
-
(2002)
Theoretical Computer Science
, vol.274
, Issue.1-2
, pp. 43-87
-
-
Hermanns, H.1
Herzog, U.2
Katoen, J.-P.3
-
39
-
-
0031999321
-
Fluid stochastic Petri nets: Theory, applications, and solution techniques
-
0957.90011 10.1016/S0377-2217(97)00028-3
-
G Horton VG Kulkarni DM Nicol KS Trivedi 1998 Fluid stochastic Petri nets: Theory, applications, and solution techniques Eur J Oper Res 105 184 201 0957.90011 10.1016/S0377-2217(97)00028-3
-
(1998)
Eur J Oper Res
, vol.105
, pp. 184-201
-
-
Horton, G.1
Kulkarni, V.G.2
Nicol, D.M.3
Trivedi, K.S.4
-
43
-
-
37149024894
-
Bisimulation minimisation mostly speeds up probabilistic model checking
-
Springer Berlin. 10.1007/978-3-540-71209-1-9
-
Katoen J-P, Kemna T, Zapreev I, Jansen DN (2007) Bisimulation minimisation mostly speeds up probabilistic model checking. In: Tools and algorithms for the construction and analysis of systems (TACAS). Lecture notes in computer science, vol 4424. Springer, Berlin, pp 87-101
-
(2007)
Tools and Algorithms for the Construction and Analysis of Systems (TACAS). Lecture Notes in Computer Science
, vol.4424
, pp. 87-101
-
-
Katoen, J.-P.1
Kemna, T.2
Zapreev, I.3
Jansen, D.N.4
-
44
-
-
34548060449
-
Stochastic model checking
-
Springer Berlin. 10.1007/978-3-540-72522-0-6
-
Kwiatkowska M, Norman G, Parker D (2007) Stochastic model checking. In: Formal methods for performance evaluation. Lecture notes in computer science, vol 4486. Springer, Berlin, pp 220-270
-
(2007)
Formal Methods for Performance Evaluation. Lecture Notes in Computer Science
, vol.4486
, pp. 220-270
-
-
Kwiatkowska, M.1
Norman, G.2
Parker, D.3
-
45
-
-
16244370706
-
A structured path-based approach for computing transient rewards of large ctmcs
-
IEEE Comput Soc Los Alamitos
-
Lam VV, Buchholz P, Sanders WH (2004) A structured path-based approach for computing transient rewards of large ctmcs. In: Quantitative evaluation of systems (QEST). IEEE Comput Soc, Los Alamitos, pp 136-145
-
(2004)
Quantitative Evaluation of Systems (QEST)
, pp. 136-145
-
-
Lam, V.V.1
Buchholz, P.2
Sanders, W.H.3
-
46
-
-
51249170875
-
The exact and approximate distributions of linear combinations of selected order statistics from uniform distributions
-
0577.62016 10.1007/BF02481076 790371
-
T Matsunawa 1985 The exact and approximate distributions of linear combinations of selected order statistics from uniform distributions Ann Inst Stat Math 37 1 16 0577.62016 10.1007/BF02481076 790371
-
(1985)
Ann Inst Stat Math
, vol.37
, pp. 1-16
-
-
Matsunawa, T.1
-
48
-
-
0019047765
-
On evaluating the performability of degradable computing systems
-
0435.68007 10.1109/TC.1980.1675654
-
JF Meyer 1980 On evaluating the performability of degradable computing systems IEEE Trans Comput 29 8 720 731 0435.68007 10.1109/TC.1980.1675654
-
(1980)
IEEE Trans Comput
, vol.29
, Issue.8
, pp. 720-731
-
-
Meyer, J.F.1
-
49
-
-
0020151729
-
Closed-form solutions of performability
-
10.1109/TC.1982.1676062
-
JF Meyer 1982 Closed-form solutions of performability IEEE Trans Comput 31 7 648 657 10.1109/TC.1982.1676062
-
(1982)
IEEE Trans Comput
, vol.31
, Issue.7
, pp. 648-657
-
-
Meyer, J.F.1
-
50
-
-
0000228328
-
Performability: A retrospective and some pointers to the future
-
0749.68014 10.1016/0166-5316(92)90002-X
-
JF Meyer 1992 Performability: a retrospective and some pointers to the future Perform Eval 14 3 139 156 0749.68014 10.1016/0166-5316(92)90002-X
-
(1992)
Perform Eval
, vol.14
, Issue.3
, pp. 139-156
-
-
Meyer, J.F.1
-
51
-
-
3543062615
-
Specification and construction of performability models
-
Wiley New York
-
Meyer JF, Sanders WH (2001) Specification and construction of performability models. In: Performability modelling. Wiley, New York
-
(2001)
Performability Modelling
-
-
Meyer, J.F.1
Sanders, W.H.2
-
53
-
-
23844461782
-
Using probabilistic model checking for dynamic power management
-
DOI 10.1007/s00165-005-0062-0
-
G Norman D Parker MZ Kwiatkowska SK Shukla R Gupta 2005 Using probabilistic model checking for dynamic power management Form Asp Comput 17 2 160 176 1080.68601 10.1007/s00165-005-0062-0 (Pubitemid 41165027)
-
(2005)
Formal Aspects of Computing
, vol.17
, Issue.2
, pp. 160-176
-
-
Norman, G.1
Parker, D.2
Kwiatkowska, M.3
Shukla, S.4
Gupta, R.5
-
54
-
-
0032649914
-
State-space support for path-based reward variables
-
1051.68527 10.1016/S0166-5316(99)00010-3
-
WD Obal II WH Sanders 1999 State-space support for path-based reward variables Perform Eval 35 3-4 233 251 1051.68527 10.1016/S0166-5316(99)00010-3
-
(1999)
Perform Eval
, vol.35
, Issue.34
, pp. 233-251
-
-
Obal Ii, W.D.1
Sanders, W.H.2
-
55
-
-
56649103281
-
Markov-reward models and hyperbolic systems
-
Wiley New York
-
Pattipati KR, Mallubhatla R, Gopalakrishna V, Viswanatham N (2001) Markov-reward models and hyperbolic systems. In: Performability modelling. Wiley, New York, pp 83-106
-
(2001)
Performability Modelling
, pp. 83-106
-
-
Pattipati, K.R.1
Mallubhatla, R.2
Gopalakrishna, V.3
Viswanatham, N.4
-
57
-
-
0028460588
-
Reward model solution methods with impulse and rate rewards: An algorithm and numerical results
-
0941.68518 10.1016/0166-5316(94)90061-2
-
MA Qureshi WH Sanders 1994 Reward model solution methods with impulse and rate rewards: an algorithm and numerical results Perform Eval 20 4 413 436 0941.68518 10.1016/0166-5316(94)90061-2
-
(1994)
Perform Eval
, vol.20
, Issue.4
, pp. 413-436
-
-
Qureshi, M.A.1
Sanders, W.H.2
-
58
-
-
24644450297
-
Model checking infinite-state Markov chains
-
Springer Berlin
-
Remke A, Haverkort BR, Cloth L (2005) Model checking infinite-state Markov chains. In: Proceedings of the 11th international conference on tools and algorithms for the construction and analysis of systems (TACAS'05). Lecture notes in computer science, vol 2440. Springer, Berlin, pp 237-252
-
(2005)
Proceedings of the 11th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS'05). Lecture Notes in Computer Science
, vol.2440
, pp. 237-252
-
-
Remke, A.1
Haverkort, B.R.2
Cloth, L.3
-
60
-
-
0026054286
-
Reduced base model construction methods for stochastic activity networks
-
10.1109/49.64901
-
WH Sanders JF Meyer 1991 Reduced base model construction methods for stochastic activity networks IEEE J Sel Areas Commun 9 1 25 36 10.1109/49.64901
-
(1991)
IEEE J Sel Areas Commun
, vol.9
, Issue.1
, pp. 25-36
-
-
Sanders, W.H.1
Meyer, J.F.2
-
61
-
-
1142309004
-
Occupation times in Markov processes
-
0966.60063 10.1080/15326340008807601 1796344
-
B Sericola 2000 Occupation times in Markov processes Commun Stat Stochastic Models 16 5 479 510 0966.60063 10.1080/15326340008807601 1796344
-
(2000)
Commun Stat Stochastic Models
, vol.16
, Issue.5
, pp. 479-510
-
-
Sericola, B.1
-
62
-
-
0023998946
-
Performability analysis: Measures, an algorithm and a case study
-
DOI 10.1109/12.2184
-
R Smith KS Trivedi A Ramesh 1988 Performability analysis: Measures, an algorithm and a case study IEEE Trans Comput 37 4 406 417 10.1109/12.2184 (Pubitemid 18638798)
-
(1988)
IEEE Transactions on Computers
, vol.37
, Issue.4
, pp. 406-417
-
-
Smith, R.M.1
Trivedi Kishor, S.2
Ramesh, A.V.3
-
63
-
-
21144448156
-
Modeling and analysis of power-aware systems
-
Springer Berlin. 10.1007/3-540-36577-X-29
-
Sokolsky O, Philippou A, Lee I, Christou K (2003) Modeling and analysis of power-aware systems. In: Proceedings of the 9th international conference on tools and algorithms for the construction and analysis of systems (TACAS'03). Lecture notes in computer science, vol 2619. Springer, Berlin, pp 409-425
-
(2003)
Proceedings of the 9th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS'03). Lecture Notes in Computer Science
, vol.2619
, pp. 409-425
-
-
Sokolsky, O.1
Philippou, A.2
Lee, I.3
Christou, K.4
-
65
-
-
0033735030
-
A fast algorithm for the transient reward distribution in continuous-time Markov chains
-
0954.90064 10.1016/S0167-6377(00)00023-7 1759208
-
H Tijms R Veldman 2000 A fast algorithm for the transient reward distribution in continuous-time Markov chains Oper Res Lett 26 155 158 0954.90064 10.1016/S0167-6377(00)00023-7 1759208
-
(2000)
Oper Res Lett
, vol.26
, pp. 155-158
-
-
Tijms, H.1
Veldman, R.2
-
66
-
-
2042529714
-
The distribution of linear combinations of order statistics from the uniform distribution
-
0226.62046 286230
-
H Weisberg 1971 The distribution of linear combinations of order statistics from the uniform distribution Ann Inst Stat 42 2 704 709 0226.62046 286230
-
(1971)
Ann Inst Stat
, vol.42
, Issue.2
, pp. 704-709
-
-
Weisberg, H.1
|