## Parthasarathy, Panamalai Ramarao

Compute Distance To:
 Author ID: parthasarathy.panamalai-ramarao Published as: Parthasarathy, P. R.; Parthasarathy, Panamali Ramarao; Parthasarathy, Panamalai R. more...less Homepage: http://www.math.kit.edu/stoch/~parthasarathy/ External Links: MGP
 Documents Indexed: 110 Publications since 1966, including 1 Book Reviewing Activity: 268 Reviews Co-Authors: 36 Co-Authors with 92 Joint Publications 1,182 Co-Co-Authors
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### Co-Authors

 13 single-authored 21 Lenin, R. B. 11 Sudhesh, Ramupillai 10 Krishna Kumar, Balasubramanian 10 Sharafali, Moosa 6 Selvaraju, N. 6 Vijayashree, Kolinjivadi Viswanathan 5 Vijayalakshmi, V. 4 Mayilswami, P. 3 Manimaran, G. 3 Ramanarayanan, R. 3 Stadje, Wolfgang 3 Vasudevan, Krishna 2 Balakrishnan, Narayanaswamy 2 Conolly, Brian W. 2 Henze, Norbert 2 Matis, James H. 2 Sericola, Bruno 2 Van Assche, Walter 1 Agrafiotis, Georgios K. 1 Athreya, Krishna Balasundaram 1 Balachandran, V. K. 1 Dietz, Klaus 1 Ebner, Bruno 1 Feldman, Sven 1 Hongler, Max-Olivier 1 Kiffe, Thomas R. 1 Klar, Bernhard 1 Kopociński, Bolesław 1 Morgenthaler, Stephan 1 Pakes, Anthony G. 1 Sankaranarayanan, Ganesh 1 Scheinhardt, Werner R. W. 1 Schoutens, Wim 1 Sri Ranga, Alagacone 1 van Doorn, Erik A. 1 Vijayalaksmi, V.
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### Serials

 9 The Mathematical Scientist 8 International Journal of Computer Mathematics 7 Mathematical and Computer Modelling 5 Journal of Applied Probability 4 Computers & Mathematics with Applications 4 American Journal of Mathematical and Management Sciences 4 Journal of Applied Statistical Science 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Operations Research Letters 3 Applied Mathematics Letters 3 Queueing Systems 3 Communications in Statistics. Theory and Methods 3 Mathematical Problems in Engineering 2 IEEE Transactions on Reliability 2 International Journal of Mathematical Education in Science and Technology 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Biology 2 International Journal of Mathematics and Mathematical Sciences 2 Stochastic Analysis and Applications 2 Journal of Applied Mathematics and Stochastic Analysis 2 International Journal of Modern Mathematics 1 Advances in Applied Probability 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Zastosowania Matematyki 1 Mathematische Annalen 1 Mathematische Operationsforschung und Statistik. Series Optimization 1 Opsearch 1 Theoretical Population Biology 1 IAPQR Transactions 1 Performance Evaluation 1 Statistics & Probability Letters 1 Optimization 1 Computers & Operations Research 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Asia-Pacific Journal of Operational Research 1 Bulletin of the Allahabad Mathematical Society 1 Journal of Physics A: Mathematical and General 1 Neural, Parallel & Scientific Computations 1 Journal of Difference Equations and Applications 1 Southwest Journal of Pure and Applied Mathematics 1 Journal of Mathematical Chemistry 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Applied Mathematics E-Notes 1 International Journal of Operational Research 1 Journal of Statistical Theory and Practice 1 Nonlinear Analysis. Theory, Methods & Applications 1 American Series in Mathematical and Management Sciences
all top 5

### Fields

 86 Probability theory and stochastic processes (60-XX) 38 Operations research, mathematical programming (90-XX) 19 Biology and other natural sciences (92-XX) 9 Computer science (68-XX) 6 Number theory (11-XX) 6 Special functions (33-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 349 times in 225 Documents Cited by Year
A transient solution to an M/M/1 queue: A simple approach. Zbl 0632.60098
Parthasarathy, P. R.
1987
Transient solution to the many-server Poisson queue: A simple approach. Zbl 0693.60076
Parthasarathy, P. R.; Sharafali, M.
1989
On the cumulants of population size for the stochastic power law logistic model. Zbl 0894.92026
Matis, James H.; Kiffe, Thomas R.; Parthasarathy, P. R.
1998
Families of birth-death processes with similar time-dependent behaviour. Zbl 0973.60087
Lenin, R. B.; Parthasarathy, P. R.; Scheinhardt, W. R. W.; van Doorn, E. A.
2000
Transient solution of an $$M/M/1$$ queue with balking. Zbl 0772.60077
Kumar, B. Krishna; Parthasarathy, P. R.; Sharafali, M.
1993
An M/M/1 driven fluid queue – continued fraction approach. Zbl 1035.90025
Parthasarathy, P. R.; Vijayashree, K. V.; Lenin, R. B.
2002
Double-ended queues with impatience. Zbl 1010.90011
Conolly, B. W.; Parthasarathy, P. R.; Selvaraju, N.
2002
Birth and death process (BDP) models with applications – queueing communication systems, chemical models. Biological models: the state-of-the-art with a time-dependent perspective. Zbl 1065.60120
Parthasarathy, P. R.; Lenin, R. B.
2004
Density-dependent birth and death process with state-dependent immigration. Zbl 0721.92019
Parthasarathy, P. R.; Kumar, B. Krishna
1991
A chemical queue. Zbl 0898.60087
Conolly, B. W.; Parthasarathy, P. R.; Dharmaraja, S.
1997
Fluid queues driven by an M/M/1/N queue. Zbl 0972.60086
Lenin, R. B.; Parthasarathy, P. R.
2000
On the unutilized capacity of a production-storage system. Zbl 0637.90048
Parthasarathy, P. R.; Sharafali, M.
1987
Transient analysis of a queue where potential customers are discouraged by queue length. Zbl 1008.60098
Parthasarathy, P. R.; Selvaraju, N.
2001
Exact transient solution of a state-dependent birth-death process. Zbl 1102.60073
Parthasarathy, P. R.; Sudhesh, R.
2006
Spectral representation of four finite birth and death processes. Zbl 0971.60085
Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B.
1999
A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations. Zbl 1114.33012
Parthasarathy, P. R.; Sudhesh, R.
2006
On the exact transient solution of finite birth and death processes with specific quadratic rates. Zbl 0898.60084
Parthasarathy, P. R.; Lenin, R. B.
1997
A birth and death process related to the Rogers-Ramanujan continued fraction. Zbl 0920.60067
Parthasarathy, P. R.; Lenin, R. B.; Schoutens, W.; Van Assche, W.
1998
Time-dependent analysis of a single-server retrial queue with state-dependent rates. Zbl 1149.90042
Parthasarathy, P. R.; Sudhesh, R.
2007
Supercritical age-dependent branching processes with immigration. Zbl 0308.60048
Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G.
1974
A computational approach for fluid queues driven by truncated birth-death processes. Zbl 0982.60090
Lenin, R. B.; Parthasarathy, P. R.
2000
Zipf and Lerch limit of birth and death processes. Zbl 1192.60096
Klar, B.; Parthasarathy, P. R.; Henze, N.
2010
A birth-death process suggested by a chain sequence. Zbl 0973.60099
Lenin, R. B.; Parthasarathy, P. R.
2000
Erratum to: On a modified Markov branching process. Zbl 0424.60086
Parthasarathy, P. R.
1980
Exact transient solution of an M/M/1 driven fluid queue. Zbl 1069.60082
Sericola, B.; Parthasarathy, P. R.; Vijayashree, K. V.
2005
Transient solution of a multiserver Poisson queue with $$N$$-policy. Zbl 1155.60330
Parthasarathy, P. R.; Sudhesh, R.
2008
Exact transient solution of a discrete time queue with state-dependent rates. Zbl 1244.90068
Parthasarathy, P. R.; Sudhesh, R.
2006
On a super-diffusive, nonlinear birth and death process. Zbl 1220.82096
Hongler, M.-O.; Parthasarathy, P. R.
2008
On the convergence to stationarity of the many-server Poisson queue. Zbl 0955.60094
1999
Generating function analysis of some joint distributions for Poisson loss systems. Zbl 0942.90012
2000
Stochastic compartmental model with branching particles. Zbl 0516.92001
Parthasarathy, P. R.; Mayilswami, P.
1981
The total sojourn time distribution in a stochastic compartmental model. Zbl 0698.60072
Parthasarathy, P. R.; Sharafali, M.
1989
On the total sojourn time of particles in semi-Markov compartmental system with branching particles. Zbl 0782.60060
Kumar, B. Krishna; Parthasarathy, P. R.
1993
An inverse problem in birth and death processes. Zbl 0938.60089
Parthasarathy, P. R.; Lenin, R. B.
1999
The transient solution of a local-jump heterogeneous chain of diatomic systems. Zbl 1002.82541
Parthasarathy, P. R.; Dharmaraja, S.
1998
Transient solution of multiprocessor systems with state-dependent arrivals. Zbl 0955.68015
Parthasarathy, P. R.; Dharmaraja, S.; Manimaran, G.
2000
Fluid queues driven by birth and death processes with quadratic rates. Zbl 1045.60100
Parthasarathy, P. R.; Vijayashree, K. V.
2003
On the numerical solution of transient probabilities of quadratic birth and death processes. Zbl 0914.60042
Parthasarathy, P. R.; Lenin, R. B.
1998
The effect of superinfection on the distribution of the infectious period – a continued fraction approximation. Zbl 0871.92028
Parthasarathy, P. R.
1997
Stochastic compartmental models with branching and immigrant particles. Zbl 0475.93059
Parthasarathy, P. R.; Mayilswami, P.
1982
Birth and death process (BDP) models with applications – queueing, communication systems, chemical models, biological models: the state-of-the-art with a time-dependent perspective. Zbl 1055.60081
Parthasarathy, P. R.; Lenin, R. B.
2004
On a modified Markov branching process. Zbl 0397.60068
Parthasarathy, P. R.
1979
Some convergence rate results for the Bellman-Harris process with immigration. Zbl 0323.60080
Pakes, A. G.; Parthasarathy, P. R.
1975
Sojourn time distribution in a stochastic compartmental system. Zbl 0556.93056
Parthasarathy, P. R.; Mayilswami, P.
1983
Transient analysis in discrete time of Markovian queues with quadratic rates. Zbl 0959.60086
Parthasarathy, P. R.; Lenin, R. B.
2000
Density-dependent Markov branching processes. Zbl 0673.60090
Parthasarathy, P. R.
1988
Some unusual birth-and-death processes. Zbl 1043.60074
Parthasarathy, P. R.
2003
A paired queueing system arising in multimedia synchronization. Zbl 1042.60545
Parthasarathy, P. R.; Selvaraju, N.; Manimaran, G.
1999
The numerical solution of a birth-death process arising in multimedia synchronization. Zbl 0994.90015
Parthasarathy, P. R.; Selvaraju, N.; Lenin, R. B.
2001
Transient solution of state dependent queues: A continued fraction approach. Zbl 0797.60082
Parthasarathy, P. R.; Vijayalakshmi, V.
1993
Stochastic compartmental models with Prendville growth mechanisms. Zbl 0820.92020
Parthasarathy, P. R.; Kumar, B. Krishna
1995
On quadrature approximation for the busy period density function of an M/M/1 queueing system. Zbl 0938.60092
Parthasarathy, P. R.; Vijayalakshmi, V.
1998
Transient solution of a state dependent many server Poisson queue with balking. Zbl 0883.60087
Parthasarathy, P. R.; Vijayalaksmi, V.
1995
On the numerical solution of transient probabilities of a state-dependent multiserver queue. Zbl 0891.65148
Parthasarathy, P. R.; Lenin, R. B.
1998
Fluid queues driven by a discouraged arrivals queue. Zbl 1020.60092
Parthasarathy, P. R.; Vijayashree, K. V.
2003
The overflow process from a state-dependent queue. Zbl 1082.60087
Parthasarathy, P. R.; Sudhesh, R.
2005
Cartan subalgebras of an $$L^*$$-algebra. Zbl 0167.14203
Balachandran, V. K.; Parthasarathy, P. R.
1966
Density-dependent birth and death processes with controlled immigration. Zbl 0774.60072
Krishna Kumar, B.; Parthasarathy, P. R.; Sharafali, M.
1993
A single server queue with a varying gate mechanism. Zbl 1191.60104
Parthasarathy, P. R.; Vasudevan, K.
2010
On an inverse problem in Cauer networks. Zbl 0985.94060
Parthasarathy, P. R.; Feldman, Sven
2000
Exact transient solutions of kinetics of first-order reactions with end effects. Zbl 0953.92033
Parthasarathy, P. R.; Dharmaraja, S.
1999
A continued fraction approximation of the modified Bessel function $$I_ 1(t)$$. Zbl 0709.65013
Parthasarathy, P. R.; Balakrishnan, N.
1990
Two stochastic analogues of the logistic process. Zbl 0714.92017
Parthasarathy, P. R.; Kumar, B. Krishna
1990
A continued fraction approximation of the modified Bessel function $$I_ 1(t)$$. Zbl 0734.41020
Parthasarathy, P. R.; Balakrishnan, N.
1991
Hypergeometric functions and birth-death processes. Zbl 1086.60056
Parthasarathy, P. R.
2005
Transient solution of a link with finite capacity suporting multiple streams. Zbl 1017.68022
Parthasarathy, P. R.; Dharmaraja, S.
2001
Cost analysis for 2-unit systems. Zbl 0411.62074
Parthasarathy, P. R.
1979
On the numerical solution of transient probabilities of the stochastic power-law logistic model. Zbl 0947.60084
Parthasarathy, P. R.; Lenin, R. B.; Matis, James H.
1999
Exact busy period distribution of a discrete queue with quadratic rates. Zbl 0953.60086
Parthasarathy, P. R.; Lenin, R. B.
1999
On the total overtime service in some loss queueing systems. Zbl 0876.60086
Agrafiotis, G. K.; Sharafali, M.; Parthasarathy, P. R.
1997
An exact solution for an M/M/1 queue with piecewise-constant rates. Zbl 1112.60071
Parthasarathy, P. R.; Sudhesh, R.
2006
Transient analysis of a fluid queue driven by a birth and death process suggested by a chain sequence. Zbl 1091.60031
Parthasarathy, P. R.; Sericola, B.; Vijayashree, K. V.
2005
Zipf and Lerch limit of birth and death processes. Zbl 1192.60096
Klar, B.; Parthasarathy, P. R.; Henze, N.
2010
A single server queue with a varying gate mechanism. Zbl 1191.60104
Parthasarathy, P. R.; Vasudevan, K.
2010
Transient solution of a multiserver Poisson queue with $$N$$-policy. Zbl 1155.60330
Parthasarathy, P. R.; Sudhesh, R.
2008
On a super-diffusive, nonlinear birth and death process. Zbl 1220.82096
Hongler, M.-O.; Parthasarathy, P. R.
2008
Time-dependent analysis of a single-server retrial queue with state-dependent rates. Zbl 1149.90042
Parthasarathy, P. R.; Sudhesh, R.
2007
Exact transient solution of a state-dependent birth-death process. Zbl 1102.60073
Parthasarathy, P. R.; Sudhesh, R.
2006
A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations. Zbl 1114.33012
Parthasarathy, P. R.; Sudhesh, R.
2006
Exact transient solution of a discrete time queue with state-dependent rates. Zbl 1244.90068
Parthasarathy, P. R.; Sudhesh, R.
2006
An exact solution for an M/M/1 queue with piecewise-constant rates. Zbl 1112.60071
Parthasarathy, P. R.; Sudhesh, R.
2006
Exact transient solution of an M/M/1 driven fluid queue. Zbl 1069.60082
Sericola, B.; Parthasarathy, P. R.; Vijayashree, K. V.
2005
The overflow process from a state-dependent queue. Zbl 1082.60087
Parthasarathy, P. R.; Sudhesh, R.
2005
Hypergeometric functions and birth-death processes. Zbl 1086.60056
Parthasarathy, P. R.
2005
Transient analysis of a fluid queue driven by a birth and death process suggested by a chain sequence. Zbl 1091.60031
Parthasarathy, P. R.; Sericola, B.; Vijayashree, K. V.
2005
Birth and death process (BDP) models with applications – queueing communication systems, chemical models. Biological models: the state-of-the-art with a time-dependent perspective. Zbl 1065.60120
Parthasarathy, P. R.; Lenin, R. B.
2004
Birth and death process (BDP) models with applications – queueing, communication systems, chemical models, biological models: the state-of-the-art with a time-dependent perspective. Zbl 1055.60081
Parthasarathy, P. R.; Lenin, R. B.
2004
Fluid queues driven by birth and death processes with quadratic rates. Zbl 1045.60100
Parthasarathy, P. R.; Vijayashree, K. V.
2003
Some unusual birth-and-death processes. Zbl 1043.60074
Parthasarathy, P. R.
2003
Fluid queues driven by a discouraged arrivals queue. Zbl 1020.60092
Parthasarathy, P. R.; Vijayashree, K. V.
2003
An M/M/1 driven fluid queue – continued fraction approach. Zbl 1035.90025
Parthasarathy, P. R.; Vijayashree, K. V.; Lenin, R. B.
2002
Double-ended queues with impatience. Zbl 1010.90011
Conolly, B. W.; Parthasarathy, P. R.; Selvaraju, N.
2002
Transient analysis of a queue where potential customers are discouraged by queue length. Zbl 1008.60098
Parthasarathy, P. R.; Selvaraju, N.
2001
The numerical solution of a birth-death process arising in multimedia synchronization. Zbl 0994.90015
Parthasarathy, P. R.; Selvaraju, N.; Lenin, R. B.
2001
Transient solution of a link with finite capacity suporting multiple streams. Zbl 1017.68022
Parthasarathy, P. R.; Dharmaraja, S.
2001
Families of birth-death processes with similar time-dependent behaviour. Zbl 0973.60087
Lenin, R. B.; Parthasarathy, P. R.; Scheinhardt, W. R. W.; van Doorn, E. A.
2000
Fluid queues driven by an M/M/1/N queue. Zbl 0972.60086
Lenin, R. B.; Parthasarathy, P. R.
2000
A computational approach for fluid queues driven by truncated birth-death processes. Zbl 0982.60090
Lenin, R. B.; Parthasarathy, P. R.
2000
A birth-death process suggested by a chain sequence. Zbl 0973.60099
Lenin, R. B.; Parthasarathy, P. R.
2000
Generating function analysis of some joint distributions for Poisson loss systems. Zbl 0942.90012
2000
Transient solution of multiprocessor systems with state-dependent arrivals. Zbl 0955.68015
Parthasarathy, P. R.; Dharmaraja, S.; Manimaran, G.
2000
Transient analysis in discrete time of Markovian queues with quadratic rates. Zbl 0959.60086
Parthasarathy, P. R.; Lenin, R. B.
2000
On an inverse problem in Cauer networks. Zbl 0985.94060
Parthasarathy, P. R.; Feldman, Sven
2000
Spectral representation of four finite birth and death processes. Zbl 0971.60085
Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B.
1999
On the convergence to stationarity of the many-server Poisson queue. Zbl 0955.60094
1999
An inverse problem in birth and death processes. Zbl 0938.60089
Parthasarathy, P. R.; Lenin, R. B.
1999
A paired queueing system arising in multimedia synchronization. Zbl 1042.60545
Parthasarathy, P. R.; Selvaraju, N.; Manimaran, G.
1999
Exact transient solutions of kinetics of first-order reactions with end effects. Zbl 0953.92033
Parthasarathy, P. R.; Dharmaraja, S.
1999
On the numerical solution of transient probabilities of the stochastic power-law logistic model. Zbl 0947.60084
Parthasarathy, P. R.; Lenin, R. B.; Matis, James H.
1999
Exact busy period distribution of a discrete queue with quadratic rates. Zbl 0953.60086
Parthasarathy, P. R.; Lenin, R. B.
1999
On the cumulants of population size for the stochastic power law logistic model. Zbl 0894.92026
Matis, James H.; Kiffe, Thomas R.; Parthasarathy, P. R.
1998
A birth and death process related to the Rogers-Ramanujan continued fraction. Zbl 0920.60067
Parthasarathy, P. R.; Lenin, R. B.; Schoutens, W.; Van Assche, W.
1998
The transient solution of a local-jump heterogeneous chain of diatomic systems. Zbl 1002.82541
Parthasarathy, P. R.; Dharmaraja, S.
1998
On the numerical solution of transient probabilities of quadratic birth and death processes. Zbl 0914.60042
Parthasarathy, P. R.; Lenin, R. B.
1998
On quadrature approximation for the busy period density function of an M/M/1 queueing system. Zbl 0938.60092
Parthasarathy, P. R.; Vijayalakshmi, V.
1998
On the numerical solution of transient probabilities of a state-dependent multiserver queue. Zbl 0891.65148
Parthasarathy, P. R.; Lenin, R. B.
1998
A chemical queue. Zbl 0898.60087
Conolly, B. W.; Parthasarathy, P. R.; Dharmaraja, S.
1997
On the exact transient solution of finite birth and death processes with specific quadratic rates. Zbl 0898.60084
Parthasarathy, P. R.; Lenin, R. B.
1997
The effect of superinfection on the distribution of the infectious period – a continued fraction approximation. Zbl 0871.92028
Parthasarathy, P. R.
1997
On the total overtime service in some loss queueing systems. Zbl 0876.60086
Agrafiotis, G. K.; Sharafali, M.; Parthasarathy, P. R.
1997
Stochastic compartmental models with Prendville growth mechanisms. Zbl 0820.92020
Parthasarathy, P. R.; Kumar, B. Krishna
1995
Transient solution of a state dependent many server Poisson queue with balking. Zbl 0883.60087
Parthasarathy, P. R.; Vijayalaksmi, V.
1995
Transient solution of an $$M/M/1$$ queue with balking. Zbl 0772.60077
Kumar, B. Krishna; Parthasarathy, P. R.; Sharafali, M.
1993
On the total sojourn time of particles in semi-Markov compartmental system with branching particles. Zbl 0782.60060
Kumar, B. Krishna; Parthasarathy, P. R.
1993
Transient solution of state dependent queues: A continued fraction approach. Zbl 0797.60082
Parthasarathy, P. R.; Vijayalakshmi, V.
1993
Density-dependent birth and death processes with controlled immigration. Zbl 0774.60072
Krishna Kumar, B.; Parthasarathy, P. R.; Sharafali, M.
1993
Density-dependent birth and death process with state-dependent immigration. Zbl 0721.92019
Parthasarathy, P. R.; Kumar, B. Krishna
1991
A continued fraction approximation of the modified Bessel function $$I_ 1(t)$$. Zbl 0734.41020
Parthasarathy, P. R.; Balakrishnan, N.
1991
A continued fraction approximation of the modified Bessel function $$I_ 1(t)$$. Zbl 0709.65013
Parthasarathy, P. R.; Balakrishnan, N.
1990
Two stochastic analogues of the logistic process. Zbl 0714.92017
Parthasarathy, P. R.; Kumar, B. Krishna
1990
Transient solution to the many-server Poisson queue: A simple approach. Zbl 0693.60076
Parthasarathy, P. R.; Sharafali, M.
1989
The total sojourn time distribution in a stochastic compartmental model. Zbl 0698.60072
Parthasarathy, P. R.; Sharafali, M.
1989
Density-dependent Markov branching processes. Zbl 0673.60090
Parthasarathy, P. R.
1988
A transient solution to an M/M/1 queue: A simple approach. Zbl 0632.60098
Parthasarathy, P. R.
1987
On the unutilized capacity of a production-storage system. Zbl 0637.90048
Parthasarathy, P. R.; Sharafali, M.
1987
Sojourn time distribution in a stochastic compartmental system. Zbl 0556.93056
Parthasarathy, P. R.; Mayilswami, P.
1983
Stochastic compartmental models with branching and immigrant particles. Zbl 0475.93059
Parthasarathy, P. R.; Mayilswami, P.
1982
Stochastic compartmental model with branching particles. Zbl 0516.92001
Parthasarathy, P. R.; Mayilswami, P.
1981
Erratum to: On a modified Markov branching process. Zbl 0424.60086
Parthasarathy, P. R.
1980
On a modified Markov branching process. Zbl 0397.60068
Parthasarathy, P. R.
1979
Cost analysis for 2-unit systems. Zbl 0411.62074
Parthasarathy, P. R.
1979
Some convergence rate results for the Bellman-Harris process with immigration. Zbl 0323.60080
Pakes, A. G.; Parthasarathy, P. R.
1975
Supercritical age-dependent branching processes with immigration. Zbl 0308.60048
Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G.
1974
Cartan subalgebras of an $$L^*$$-algebra. Zbl 0167.14203
Balachandran, V. K.; Parthasarathy, P. R.
1966
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### Cited by 288 Authors

 32 Parthasarathy, Panamalai Ramarao 13 Krishna Kumar, Balasubramanian 10 Sudhesh, Ramupillai 9 Lenin, R. B. 8 Zeifman, Alexander Izrailevich 7 Ammar, Sherif Ibrahim 7 Di Crescenzo, Antonio 6 Giorno, Virginia 6 Matis, James H. 6 Nobile, Amelia G. 6 Tarabia, Ahmed M. K. 5 Azhagappan, Arumugam 5 Kiffe, Thomas R. 4 Crawford, Forrest W. 4 Li, Junping 4 Martinucci, Barbara 4 van Doorn, Erik A. 3 Awonusika, Richard Olu 3 Chen, Anyue 3 Deepa, Thirunavukkarasu 3 Jain, Madhu 3 Korolev, Viktor Yur’evich 3 Marion, Glenn 3 Mohebbi, Esmail 3 Razumchik, Rostislav V. 3 Renshaw, Eric 3 Satin, Ya. A. 3 Selvaraju, N. 3 Sharafali, Moosa 3 Suchard, Marc A. 3 Thilaka, B. 3 Vijayashree, Kolinjivadi Viswanathan 2 Al-Seedy, Ragab Omarah 2 Artalejo, Jesus R. 2 Bhattacharya, Sabyasachi 2 Economou, Antonis 2 El-Shehawy, S. A. 2 El Sherbiny, A. A. 2 Grassmann, Winfried K. 2 Henze, Norbert 2 Kijima, Masaaki 2 Korotysheva, Anna 2 Lange, Kenneth L. 2 Legros, Benjamin 2 Leonenko, G. M. 2 Li, Quanlin 2 Macci, Claudio 2 Manimaran, G. 2 Mao, Bingwei 2 Matis, Timothy I. 2 Nåsell, Ingemar 2 Pakes, Anthony G. 2 Pirozzi, Enrica 2 Priya, R. Sebasthi 2 Qiao, Zheng 2 Saloff-Coste, Laurent 2 Satin, Yacov 2 Schoutens, Wim 2 Sericola, Bruno 2 Sharma, Sapana 2 Shorgin, Sergey 2 Sophia, Susairaj 2 Stadje, Wolfgang 2 Stevenson, Douglass E. 2 Tavakoli, Javad 2 Tian, Naishuo 2 Vatutin, Vladimir Alekseevich 2 Vijayalakshmi, V. 2 Wang, Fuwei 2 Wang, Jinting 2 Xu, Xiuli 2 Yang, Qiaoli 2 Zhang, Lina 2 Zhao, Yiqiang Q. 2 Zheng, Qi 2 Zubkov, Andreĭ Mikhaĭlovich 1 Agrafiotis, Georgios K. 1 Agusto, Folashade B. 1 Al Amri, Faizah T. 1 Alharbi, Yousef Fyaz 1 Allen, Linda J. S. 1 Amador, Julia 1 Anjuka, Atlimuthu 1 Arivudainambi, D. 1 Ariwayo, Afolabi Gabriel 1 Arunachalam, Viswanathan 1 Ascione, Giacomo 1 Bader, Julia O. 1 Balachandran, V. K. 1 Bandyopadhyay, Subhadip 1 Bebiano, Natália Isabel Quadros 1 Beghin, Luisa 1 Bening, Vladimir E. 1 Berndt, Bruce Carl 1 Berríos-Caro, Ernesto 1 Bhattacharyya, Rupa 1 Bhowmick, Amiya Ranjan 1 Böhm, Walter 1 Butkovsky, Oleg A. 1 Cahoy, Dexter O. ...and 188 more Authors
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### Cited in 87 Serials

 11 Applied Mathematics and Computation 8 Computers & Mathematics with Applications 8 Mathematical Biosciences 8 Mathematical and Computer Modelling 8 Queueing Systems 7 Stochastic Analysis and Applications 6 Operations Research Letters 6 Communications in Statistics. Theory and Methods 6 International Journal of Computer Mathematics 6 Methodology and Computing in Applied Probability 5 Bulletin of Mathematical Biology 5 Journal of Computational and Applied Mathematics 5 Opsearch 5 Statistics & Probability Letters 5 American Journal of Mathematical and Management Sciences 5 European Journal of Operational Research 4 Advances in Applied Probability 4 Journal of Mathematical Analysis and Applications 4 Journal of Applied Probability 4 Theoretical Population Biology 4 Computers & Operations Research 4 Applied Mathematical Modelling 4 Stochastic Models 3 Physica A 3 The Journal of Analysis 3 Journal of Mathematical Sciences (New York) 3 Top 3 RAIRO. Operations Research 3 Journal of Industrial and Management Optimization 3 Journal of Theoretical Biology 2 Journal of Mathematical Biology 2 Journal of Statistical Physics 2 Journal of Soviet Mathematics 2 Ricerche di Matematica 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Automation and Remote Control 2 Mathematical Methods of Operations Research 2 International Journal of Applied Mathematics and Computer Science 2 Probability in the Engineering and Informational Sciences 2 Applications and Applied Mathematics 2 Advances in Operations Research 2 Croatian Operational Research Review (CRORR) 1 International Journal of Mathematical Education in Science and Technology 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Aplikace Matematiky 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Semigroup Forum 1 OR Spektrum 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Asia-Pacific Journal of Operational Research 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Annals of Applied Probability 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 INFORMS Journal on Computing 1 Mathematical Population Studies 1 Doklady Mathematics 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 SORT. Statistics and Operations Research Transactions 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 The Annals of Applied Statistics 1 Advances in Mathematical Physics 1 Stochastic Systems 1 Journal of the Operations Research Society of China 1 Mathematics 1 Journal of Statistical Distributions and Applications 1 Modern Stochastics. Theory and Applications 1 International Journal of Applied and Computational Mathematics
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### Cited in 29 Fields

 161 Probability theory and stochastic processes (60-XX) 97 Operations research, mathematical programming (90-XX) 38 Biology and other natural sciences (92-XX) 20 Computer science (68-XX) 13 Statistics (62-XX) 9 Numerical analysis (65-XX) 9 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)