Edit Profile (opens in new tab) Parthasarathy, Panamalai Ramarao Co-Author Distance 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: 38 Co-Authors with 97 Joint Publications 1,376 Co-Co-Authors all top 5 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 Dharmaraja, Selvamuthu 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 Krishnamoorthy, Achyutha 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. all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 367 times in 240 Documents Cited by ▼ Year ▼ A transient solution to an M/M/1 queue: A simple approach. Zbl 0632.60098 Parthasarathy, P. R. 27 1987 Transient solution to the many-server Poisson queue: A simple approach. Zbl 0693.60076 Parthasarathy, P. R.; Sharafali, M. 23 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. 18 1998 Double-ended queues with impatience. Zbl 1010.90011 Conolly, B. W.; Parthasarathy, P. R.; Selvaraju, N. 15 2002 An M/M/1 driven fluid queue – continued fraction approach. Zbl 1035.90025 Parthasarathy, P. R.; Vijayashree, K. V.; Lenin, R. B. 15 2002 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. 14 2000 Transient solution of an \(M/M/1\) queue with balking. Zbl 0772.60077 Kumar, B. Krishna; Parthasarathy, P. R.; Sharafali, M. 14 1993 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. 12 2004 Density-dependent birth and death process with state-dependent immigration. Zbl 0721.92019 Parthasarathy, P. R.; Kumar, B. Krishna 10 1991 A chemical queue. Zbl 0898.60087 Conolly, B. W.; Parthasarathy, P. R.; Dharmaraja, S. 10 1997 Transient analysis of a queue where potential customers are discouraged by queue length. Zbl 1008.60098 Parthasarathy, P. R.; Selvaraju, N. 10 2001 On the unutilized capacity of a production-storage system. Zbl 0637.90048 Parthasarathy, P. R.; Sharafali, M. 8 1987 Fluid queues driven by an M/M/1/N queue. Zbl 0972.60086 Lenin, R. B.; Parthasarathy, P. R. 8 2000 Exact transient solution of a state-dependent birth-death process. Zbl 1102.60073 Parthasarathy, P. R.; Sudhesh, R. 8 2006 A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations. Zbl 1114.33012 Parthasarathy, P. R.; Sudhesh, R. 7 2006 Spectral representation of four finite birth and death processes. Zbl 0971.60085 Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B. 7 1999 A birth-death process suggested by a chain sequence. Zbl 0973.60099 Lenin, R. B.; Parthasarathy, P. R. 7 2000 Transient solution of a multiserver Poisson queue with \(N\)-policy. Zbl 1155.60330 Parthasarathy, P. R.; Sudhesh, R. 7 2008 On the exact transient solution of finite birth and death processes with specific quadratic rates. Zbl 0898.60084 Parthasarathy, P. R.; Lenin, R. B. 7 1997 Time-dependent analysis of a single-server retrial queue with state-dependent rates. Zbl 1149.90042 Parthasarathy, P. R.; Sudhesh, R. 7 2007 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. 6 1998 On a super-diffusive, nonlinear birth and death process. Zbl 1220.82096 Hongler, M.-O.; Parthasarathy, P. R. 5 2008 Zipf and Lerch limit of birth and death processes. Zbl 1192.60096 Klar, B.; Parthasarathy, P. R.; Henze, N. 5 2010 A computational approach for fluid queues driven by truncated birth-death processes. Zbl 0982.60090 Lenin, R. B.; Parthasarathy, P. R. 5 2000 Supercritical age-dependent branching processes with immigration. Zbl 0308.60048 Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G. 5 1974 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. 5 2004 Erratum to: On a modified Markov branching process. Zbl 0424.60086 Parthasarathy, P. R. 5 1980 Stochastic compartmental model with branching particles. Zbl 0516.92001 Parthasarathy, P. R.; Mayilswami, P. 4 1981 On the convergence to stationarity of the many-server Poisson queue. Zbl 0955.60094 Stadje, Wolfgang; Parthasarathy, P. R. 4 1999 Generating function analysis of some joint distributions for Poisson loss systems. Zbl 0942.90012 Stadje, W.; Parthasarathy, P. R. 4 2000 Exact transient solution of an M/M/1 driven fluid queue. Zbl 1069.60082 Sericola, B.; Parthasarathy, P. R.; Vijayashree, K. V. 4 2005 The total sojourn time distribution in a stochastic compartmental model. Zbl 0698.60072 Parthasarathy, P. R.; Sharafali, M. 4 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. 4 1993 Exact transient solution of a discrete time queue with state-dependent rates. Zbl 1244.90068 Parthasarathy, P. R.; Sudhesh, R. 4 2006 An inverse problem in birth and death processes. Zbl 0938.60089 Parthasarathy, P. R.; Lenin, R. B. 3 1999 The transient solution of a local-jump heterogeneous chain of diatomic systems. Zbl 1002.82541 Parthasarathy, P. R.; Dharmaraja, S. 3 1998 Transient solution of multiprocessor systems with state-dependent arrivals. Zbl 0955.68015 Parthasarathy, P. R.; Dharmaraja, S.; Manimaran, G. 3 2000 On the numerical solution of transient probabilities of quadratic birth and death processes. Zbl 0914.60042 Parthasarathy, P. R.; Lenin, R. B. 3 1998 Fluid queues driven by birth and death processes with quadratic rates. Zbl 1045.60100 Parthasarathy, P. R.; Vijayashree, K. V. 3 2003 Stochastic compartmental models with branching and immigrant particles. Zbl 0475.93059 Parthasarathy, P. R.; Mayilswami, P. 3 1982 The effect of superinfection on the distribution of the infectious period – a continued fraction approximation. Zbl 0871.92028 Parthasarathy, P. R. 3 1997 On a modified Markov branching process. Zbl 0397.60068 Parthasarathy, P. R. 3 1979 Density-dependent Markov branching processes. Zbl 0673.60090 Parthasarathy, P. R. 2 1988 Sojourn time distribution in a stochastic compartmental system. Zbl 0556.93056 Parthasarathy, P. R.; Mayilswami, P. 2 1983 Transient analysis in discrete time of Markovian queues with quadratic rates. Zbl 0959.60086 Parthasarathy, P. R.; Lenin, R. B. 2 2000 Stochastic compartmental models with Prendville growth mechanisms. Zbl 0820.92020 Parthasarathy, P. R.; Kumar, B. Krishna 2 1995 The overflow process from a state-dependent queue. Zbl 1082.60087 Parthasarathy, P. R.; Sudhesh, R. 2 2005 The numerical solution of a birth-death process arising in multimedia synchronization. Zbl 0994.90015 Parthasarathy, P. R.; Selvaraju, N.; Lenin, R. B. 2 2001 On quadrature approximation for the busy period density function of an M/M/1 queueing system. Zbl 0938.60092 Parthasarathy, P. R.; Vijayalakshmi, V. 2 1998 A paired queueing system arising in multimedia synchronization. Zbl 1042.60545 Parthasarathy, P. R.; Selvaraju, N.; Manimaran, G. 2 1999 Some unusual birth-and-death processes. Zbl 1043.60074 Parthasarathy, P. R. 2 2003 Cartan subalgebras of an \(L^*\)-algebra. Zbl 0167.14203 Balachandran, V. K.; Parthasarathy, P. R. 2 1966 Some convergence rate results for the Bellman-Harris process with immigration. Zbl 0323.60080 Pakes, A. G.; Parthasarathy, P. R. 2 1975 On the numerical solution of transient probabilities of a state-dependent multiserver queue. Zbl 0891.65148 Parthasarathy, P. R.; Lenin, R. B. 2 1998 Transient solution of a state dependent many server Poisson queue with balking. Zbl 0883.60087 Parthasarathy, P. R.; Vijayalaksmi, V. 2 1995 Transient solution of state dependent queues: A continued fraction approach. Zbl 0797.60082 Parthasarathy, P. R.; Vijayalakshmi, V. 2 1993 Fluid queues driven by a discouraged arrivals queue. Zbl 1020.60092 Parthasarathy, P. R.; Vijayashree, K. V. 2 2003 Density-dependent birth and death processes with controlled immigration. Zbl 0774.60072 Krishna Kumar, B.; Parthasarathy, P. R.; Sharafali, M. 1 1993 A single server queue with a varying gate mechanism. Zbl 1191.60104 Parthasarathy, P. R.; Vasudevan, K. 1 2010 On an inverse problem in Cauer networks. Zbl 0985.94060 Parthasarathy, P. R.; Feldman, Sven 1 2000 Exact transient solutions of kinetics of first-order reactions with end effects. Zbl 0953.92033 Parthasarathy, P. R.; Dharmaraja, S. 1 1999 An exact solution for an M/M/1 queue with piecewise-constant rates. Zbl 1112.60071 Parthasarathy, P. R.; Sudhesh, R. 1 2006 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. 1 1999 Exact busy period distribution of a discrete queue with quadratic rates. Zbl 0953.60086 Parthasarathy, P. R.; Lenin, R. B. 1 1999 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. 1 2005 A continued fraction approximation of the modified Bessel function \(I_ 1(t)\). Zbl 0709.65013 Parthasarathy, P. R.; Balakrishnan, N. 1 1990 Two stochastic analogues of the logistic process. Zbl 0714.92017 Parthasarathy, P. R.; Kumar, B. Krishna 1 1990 A continued fraction approximation of the modified Bessel function \(I_ 1(t)\). Zbl 0734.41020 Parthasarathy, P. R.; Balakrishnan, N. 1 1991 Hypergeometric functions and birth-death processes. Zbl 1086.60056 Parthasarathy, P. R. 1 2005 On the total overtime service in some loss queueing systems. Zbl 0876.60086 Agrafiotis, G. K.; Sharafali, M.; Parthasarathy, P. R. 1 1997 Cost analysis for 2-unit systems. Zbl 0411.62074 Parthasarathy, P. R. 1 1979 Transient solution of a link with finite capacity suporting multiple streams. Zbl 1017.68022 Parthasarathy, P. R.; Dharmaraja, S. 1 2001 Zipf and Lerch limit of birth and death processes. Zbl 1192.60096 Klar, B.; Parthasarathy, P. R.; Henze, N. 5 2010 A single server queue with a varying gate mechanism. Zbl 1191.60104 Parthasarathy, P. R.; Vasudevan, K. 1 2010 Transient solution of a multiserver Poisson queue with \(N\)-policy. Zbl 1155.60330 Parthasarathy, P. R.; Sudhesh, R. 7 2008 On a super-diffusive, nonlinear birth and death process. Zbl 1220.82096 Hongler, M.-O.; Parthasarathy, P. R. 5 2008 Time-dependent analysis of a single-server retrial queue with state-dependent rates. Zbl 1149.90042 Parthasarathy, P. R.; Sudhesh, R. 7 2007 Exact transient solution of a state-dependent birth-death process. Zbl 1102.60073 Parthasarathy, P. R.; Sudhesh, R. 8 2006 A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations. Zbl 1114.33012 Parthasarathy, P. R.; Sudhesh, R. 7 2006 Exact transient solution of a discrete time queue with state-dependent rates. Zbl 1244.90068 Parthasarathy, P. R.; Sudhesh, R. 4 2006 An exact solution for an M/M/1 queue with piecewise-constant rates. Zbl 1112.60071 Parthasarathy, P. R.; Sudhesh, R. 1 2006 Exact transient solution of an M/M/1 driven fluid queue. Zbl 1069.60082 Sericola, B.; Parthasarathy, P. R.; Vijayashree, K. V. 4 2005 The overflow process from a state-dependent queue. Zbl 1082.60087 Parthasarathy, P. R.; Sudhesh, R. 2 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. 1 2005 Hypergeometric functions and birth-death processes. Zbl 1086.60056 Parthasarathy, P. R. 1 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. 12 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. 5 2004 Fluid queues driven by birth and death processes with quadratic rates. Zbl 1045.60100 Parthasarathy, P. R.; Vijayashree, K. V. 3 2003 Some unusual birth-and-death processes. Zbl 1043.60074 Parthasarathy, P. R. 2 2003 Fluid queues driven by a discouraged arrivals queue. Zbl 1020.60092 Parthasarathy, P. R.; Vijayashree, K. V. 2 2003 Double-ended queues with impatience. Zbl 1010.90011 Conolly, B. W.; Parthasarathy, P. R.; Selvaraju, N. 15 2002 An M/M/1 driven fluid queue – continued fraction approach. Zbl 1035.90025 Parthasarathy, P. R.; Vijayashree, K. V.; Lenin, R. B. 15 2002 Transient analysis of a queue where potential customers are discouraged by queue length. Zbl 1008.60098 Parthasarathy, P. R.; Selvaraju, N. 10 2001 The numerical solution of a birth-death process arising in multimedia synchronization. Zbl 0994.90015 Parthasarathy, P. R.; Selvaraju, N.; Lenin, R. B. 2 2001 Transient solution of a link with finite capacity suporting multiple streams. Zbl 1017.68022 Parthasarathy, P. R.; Dharmaraja, S. 1 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. 14 2000 Fluid queues driven by an M/M/1/N queue. Zbl 0972.60086 Lenin, R. B.; Parthasarathy, P. R. 8 2000 A birth-death process suggested by a chain sequence. Zbl 0973.60099 Lenin, R. B.; Parthasarathy, P. R. 7 2000 A computational approach for fluid queues driven by truncated birth-death processes. Zbl 0982.60090 Lenin, R. B.; Parthasarathy, P. R. 5 2000 Generating function analysis of some joint distributions for Poisson loss systems. Zbl 0942.90012 Stadje, W.; Parthasarathy, P. R. 4 2000 Transient solution of multiprocessor systems with state-dependent arrivals. Zbl 0955.68015 Parthasarathy, P. R.; Dharmaraja, S.; Manimaran, G. 3 2000 Transient analysis in discrete time of Markovian queues with quadratic rates. Zbl 0959.60086 Parthasarathy, P. R.; Lenin, R. B. 2 2000 On an inverse problem in Cauer networks. Zbl 0985.94060 Parthasarathy, P. R.; Feldman, Sven 1 2000 Spectral representation of four finite birth and death processes. Zbl 0971.60085 Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B. 7 1999 On the convergence to stationarity of the many-server Poisson queue. Zbl 0955.60094 Stadje, Wolfgang; Parthasarathy, P. R. 4 1999 An inverse problem in birth and death processes. Zbl 0938.60089 Parthasarathy, P. R.; Lenin, R. B. 3 1999 A paired queueing system arising in multimedia synchronization. Zbl 1042.60545 Parthasarathy, P. R.; Selvaraju, N.; Manimaran, G. 2 1999 Exact transient solutions of kinetics of first-order reactions with end effects. Zbl 0953.92033 Parthasarathy, P. R.; Dharmaraja, S. 1 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. 1 1999 Exact busy period distribution of a discrete queue with quadratic rates. Zbl 0953.60086 Parthasarathy, P. R.; Lenin, R. B. 1 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. 18 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. 6 1998 The transient solution of a local-jump heterogeneous chain of diatomic systems. Zbl 1002.82541 Parthasarathy, P. R.; Dharmaraja, S. 3 1998 On the numerical solution of transient probabilities of quadratic birth and death processes. Zbl 0914.60042 Parthasarathy, P. R.; Lenin, R. B. 3 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. 2 1998 On the numerical solution of transient probabilities of a state-dependent multiserver queue. Zbl 0891.65148 Parthasarathy, P. R.; Lenin, R. B. 2 1998 A chemical queue. Zbl 0898.60087 Conolly, B. W.; Parthasarathy, P. R.; Dharmaraja, S. 10 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. 7 1997 The effect of superinfection on the distribution of the infectious period – a continued fraction approximation. Zbl 0871.92028 Parthasarathy, P. R. 3 1997 On the total overtime service in some loss queueing systems. Zbl 0876.60086 Agrafiotis, G. K.; Sharafali, M.; Parthasarathy, P. R. 1 1997 Stochastic compartmental models with Prendville growth mechanisms. Zbl 0820.92020 Parthasarathy, P. R.; Kumar, B. Krishna 2 1995 Transient solution of a state dependent many server Poisson queue with balking. Zbl 0883.60087 Parthasarathy, P. R.; Vijayalaksmi, V. 2 1995 Transient solution of an \(M/M/1\) queue with balking. Zbl 0772.60077 Kumar, B. Krishna; Parthasarathy, P. R.; Sharafali, M. 14 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. 4 1993 Transient solution of state dependent queues: A continued fraction approach. Zbl 0797.60082 Parthasarathy, P. R.; Vijayalakshmi, V. 2 1993 Density-dependent birth and death processes with controlled immigration. Zbl 0774.60072 Krishna Kumar, B.; Parthasarathy, P. R.; Sharafali, M. 1 1993 Density-dependent birth and death process with state-dependent immigration. Zbl 0721.92019 Parthasarathy, P. R.; Kumar, B. Krishna 10 1991 A continued fraction approximation of the modified Bessel function \(I_ 1(t)\). Zbl 0734.41020 Parthasarathy, P. R.; Balakrishnan, N. 1 1991 A continued fraction approximation of the modified Bessel function \(I_ 1(t)\). Zbl 0709.65013 Parthasarathy, P. R.; Balakrishnan, N. 1 1990 Two stochastic analogues of the logistic process. Zbl 0714.92017 Parthasarathy, P. R.; Kumar, B. Krishna 1 1990 Transient solution to the many-server Poisson queue: A simple approach. Zbl 0693.60076 Parthasarathy, P. R.; Sharafali, M. 23 1989 The total sojourn time distribution in a stochastic compartmental model. Zbl 0698.60072 Parthasarathy, P. R.; Sharafali, M. 4 1989 Density-dependent Markov branching processes. Zbl 0673.60090 Parthasarathy, P. R. 2 1988 A transient solution to an M/M/1 queue: A simple approach. Zbl 0632.60098 Parthasarathy, P. R. 27 1987 On the unutilized capacity of a production-storage system. Zbl 0637.90048 Parthasarathy, P. R.; Sharafali, M. 8 1987 Sojourn time distribution in a stochastic compartmental system. Zbl 0556.93056 Parthasarathy, P. R.; Mayilswami, P. 2 1983 Stochastic compartmental models with branching and immigrant particles. Zbl 0475.93059 Parthasarathy, P. R.; Mayilswami, P. 3 1982 Stochastic compartmental model with branching particles. Zbl 0516.92001 Parthasarathy, P. R.; Mayilswami, P. 4 1981 Erratum to: On a modified Markov branching process. Zbl 0424.60086 Parthasarathy, P. R. 5 1980 On a modified Markov branching process. Zbl 0397.60068 Parthasarathy, P. R. 3 1979 Cost analysis for 2-unit systems. Zbl 0411.62074 Parthasarathy, P. R. 1 1979 Some convergence rate results for the Bellman-Harris process with immigration. Zbl 0323.60080 Pakes, A. G.; Parthasarathy, P. R. 2 1975 Supercritical age-dependent branching processes with immigration. Zbl 0308.60048 Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G. 5 1974 Cartan subalgebras of an \(L^*\)-algebra. Zbl 0167.14203 Balachandran, V. K.; Parthasarathy, P. R. 2 1966 all cited Publications top 5 cited Publications all top 5 Cited by 318 Authors 32 Parthasarathy, Panamalai Ramarao 15 Krishna Kumar, Balasubramanian 10 Sudhesh, Ramupillai 9 Lenin, R. B. 8 Di Crescenzo, Antonio 8 Zeifman, Alexander Izrailevich 7 Ammar, Sherif Ibrahim 7 Giorno, Virginia 7 Nobile, Amelia G. 6 Matis, James H. 6 Tarabia, Ahmed M. K. 5 Azhagappan, Arumugam 5 Dharmaraja, Selvamuthu 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 Li, Quanlin 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 3 Wang, Jinting 3 Zhao, Yiqiang Q. 2 Al-Seedy, Ragab Omarah 2 Artalejo, Jesus R. 2 Bhattacharya, Sabyasachi 2 Domínguez de la Iglesia, Manuel 2 Economou, Antonis 2 El-Shehawy, S. A. 2 El Sherbiny, A. A. 2 Grassmann, Winfried 2 Henze, Norbert 2 Kijima, Masaaki 2 Korotysheva, Anna 2 Lange, Kenneth L. 2 Legros, Benjamin 2 Leonenko, G. M. 2 Liu, Bin 2 Liu, Heng-Li 2 Liu, Xin 2 Macci, Claudio 2 Manimaran, G. 2 Mao, Bingwei 2 Margolius, Barbara H. 2 Matis, Timothy I. 2 Nåsell, Ingemar 2 Pakes, Anthony G. 2 Perry, David 2 Pirozzi, Enrica 2 Priya, R. Sebasthi 2 Qiao, Zheng 2 Rukmani, Ramasamy 2 Saloff-Coste, Laurent 2 Sankar, Rathinam 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 Xu, Xiuli 2 Yang, Bo 2 Yang, Qiaoli 2 Zhang, Lina 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 Aparajitha, J. Durga 1 Arivudainambi, D. 1 Ariwayo, Afolabi Gabriel 1 Arunachalam, Viswanathan 1 Ascione, Giacomo 1 Bader, Julia O. 1 Balachandran, V. K. ...and 218 more Authors all top 5 Cited in 92 Serials 11 Applied Mathematics and Computation 10 Queueing Systems 8 Computers & Mathematics with Applications 8 Mathematical Biosciences 8 Mathematical and Computer Modelling 8 Communications in Statistics. Theory and Methods 8 Methodology and Computing in Applied Probability 7 Stochastic Analysis and Applications 6 Opsearch 6 Operations Research Letters 6 International Journal of Computer Mathematics 5 Advances in Applied Probability 5 Bulletin of Mathematical Biology 5 Journal of Computational and Applied Mathematics 5 Statistics & Probability Letters 5 American Journal of Mathematical and Management Sciences 5 European Journal of Operational Research 5 Journal of Industrial and Management Optimization 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 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 Probability in the Engineering and Informational Sciences 2 Applications and Applied Mathematics 2 Advances in Operations Research 2 Croatian Operational Research Review (CRORR) 2 Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Aplikace Matematiky 1 INFOR 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Semigroup Forum 1 Studies in Applied Mathematics 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 Indagationes Mathematicae. New Series 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 International Journal of Applied Mathematics and Computer Science 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 Thai Journal of Mathematics 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 Journal of Statistical Distributions and Applications 1 Modern Stochastics. Theory and Applications 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 29 Fields 172 Probability theory and stochastic processes (60-XX) 106 Operations research, mathematical programming (90-XX) 39 Biology and other natural sciences (92-XX) 22 Computer science (68-XX) 15 Statistics (62-XX) 11 Special functions (33-XX) 11 Numerical analysis (65-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Systems theory; control (93-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 Linear and multilinear algebra; matrix theory (15-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 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-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) Citations by Year