U. Narayan Bhat
Encyclopedia
U. Narayan Bhat is an India
n born Mathematician
, known for his contributions to queueing theory
and reliability theory
.
in mathematics
(1953) and B.T. in education
(1954) from the University of Madras
, an M.A.
in statistics
(1958) from Karnatak University
in Dharwar and Ph.D.
in Mathematical statistics
from the University of Western Australia
on the dissertation Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior (1965). He worked at Michigan State University
(1965–66), Case Western Reserve University
(1966–69), and Southern Methodist University
(1969–2005). Bhat is a fellow of the American Statistical Association
and elected
member of the International Statistical Institute
.
U. Narayan Bhat was a dean of research and graduate studies at Southern Methodist University
and then was named interim dean for the university's Dedman College .
India
India , officially the Republic of India , is a country in South Asia. It is the seventh-largest country by geographical area, the second-most populous country with over 1.2 billion people, and the most populous democracy in the world...
n born Mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, known for his contributions to queueing theory
Queueing theory
Queueing theory is the mathematical study of waiting lines, or queues. The theory enables mathematical analysis of several related processes, including arriving at the queue, waiting in the queue , and being served at the front of the queue...
and reliability theory
Reliability theory
Reliability theory describes the probability of a system completing its expected function during an interval of time. It is the basis of reliability engineering, which is an area of study focused on optimizing the reliability, or probability of successful functioning, of systems, such as airplanes,...
.
Academic career
He received a B.A.Bachelor of Arts
A Bachelor of Arts , from the Latin artium baccalaureus, is a bachelor's degree awarded for an undergraduate course or program in either the liberal arts, the sciences, or both...
in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
(1953) and B.T. in education
Education
Education in its broadest, general sense is the means through which the aims and habits of a group of people lives on from one generation to the next. Generally, it occurs through any experience that has a formative effect on the way one thinks, feels, or acts...
(1954) from the University of Madras
University of Madras
The University of Madras is a public research university in Chennai, Tamil Nadu, India. It is one of the three oldest universities in India...
, an M.A.
Master of Arts (postgraduate)
A Master of Arts from the Latin Magister Artium, is a type of Master's degree awarded by universities in many countries. The M.A. is usually contrasted with the M.S. or M.Sc. degrees...
in statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
(1958) from Karnatak University
Karnatak University
The Karnatak University established initially at Mumbai in 1949, the location was shifted to Dharwad in October, 1949 and Karnatak University had its official inauguration in March 1950. The campus spans 750 acres . Dr. D. C. Pavate was the vice-chancellor of the university from 1954 to 1967...
in Dharwar and Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
in Mathematical statistics
Mathematical statistics
Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and analysis...
from the University of Western Australia
University of Western Australia
The University of Western Australia was established by an Act of the Western Australian Parliament in February 1911, and began teaching students for the first time in 1913. It is the oldest university in the state of Western Australia and the only university in the state to be a member of the...
on the dissertation Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior (1965). He worked at Michigan State University
Michigan State University
Michigan State University is a public research university in East Lansing, Michigan, USA. Founded in 1855, it was the pioneer land-grant institution and served as a model for future land-grant colleges in the United States under the 1862 Morrill Act.MSU pioneered the studies of packaging,...
(1965–66), Case Western Reserve University
Case Western Reserve University
Case Western Reserve University is a private research university located in Cleveland, Ohio, USA...
(1966–69), and Southern Methodist University
Southern Methodist University
Southern Methodist University is a private university in Dallas, Texas, United States. Founded in 1911 by the Methodist Episcopal Church, South, SMU operates campuses in Dallas, Plano, and Taos, New Mexico. SMU is owned by the South Central Jurisdiction of the United Methodist Church...
(1969–2005). Bhat is a fellow of the American Statistical Association
American Statistical Association
The American Statistical Association , is the main professional US organization for statisticians and related professions. It was founded in Boston, Massachusetts on November 27, 1839, and is the second oldest, continuously operating professional society in the United States...
and elected
member of the International Statistical Institute
International Statistical Institute
The International Statistical Institute is a professional association of statisticians. The Institut International de Statistique or International Statistical Institute was founded in 1885 although there had been international congresses from 1853.. The Institute publishes a variety of books and...
.
U. Narayan Bhat was a dean of research and graduate studies at Southern Methodist University
Southern Methodist University
Southern Methodist University is a private university in Dallas, Texas, United States. Founded in 1911 by the Methodist Episcopal Church, South, SMU operates campuses in Dallas, Plano, and Taos, New Mexico. SMU is owned by the South Central Jurisdiction of the United Methodist Church...
and then was named interim dean for the university's Dedman College .
Books
- A Study of the Queueing Systems M/G/1 and GI/M/1, (Springer Verlag, 1968)
- Elements of Applied Stochastic Processes (WileyJohn Wiley & SonsJohn Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing and markets its products to professionals and consumers, students and instructors in higher education, and researchers and practitioners in scientific, technical, medical, and...
, 1972) - Introduction to Operations Research Models (W. B. Saunders & Co., 1977). With L. Cooper and L. J. LeBlanc
- Queueing and Related Models (Oxford University PressOxford University PressOxford University Press is the largest university press in the world. It is a department of the University of Oxford and is governed by a group of 15 academics appointed by the Vice-Chancellor known as the Delegates of the Press. They are headed by the Secretary to the Delegates, who serves as...
, 1992). Editor with I. V. Basawa - Elements of Applied Stochastic Processes (WileyJohn Wiley & SonsJohn Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing and markets its products to professionals and consumers, students and instructors in higher education, and researchers and practitioners in scientific, technical, medical, and...
, 2002). With Gregory K. Miller - Introduction to queueing theory (Birkhauser, 2008)
Publications
- Further Results for the Queue with Poisson Arrivals, Operations Research, Vol. 11(3), (1963), 380-386 (with Narahari Umanath PrabhuNarahari Umanath PrabhuNarahari Umanath Prabhu is an Indian-American mathematician, known for his contributions to operation research, in particular queueing theory.-Career:...
). - Imbedded Markov Chain Analysis of Single-Server Bulk Queues, Journal of the Australian Math, Soc., Vol. 4(2), (1964), 244-263.
- On Single-Server Bulk Queueing Processes with Binomial Input, Operations Research, Vol. 12(4), (1964), 527-533.
- On a Stochastic Process Occurring in Queueing Systems, Journal of Applied Probability, Vol. 2(2), (1965), 467-469.
- Statistical Analysis of Queueing Systems in Frontiers in Queuing by Dshalalow etc. (1997). (with G.K. Miller and S. Subba Rao).
- Estimation of Renewal Processes with Unobservable Gamma or Erlang Interarrival Times, J. Stat. Plan. and Inf., 61 (1997), 355-372 (with G. K. Miller).
- Maximum Likelihood Estimation for Single Server Queues from Waiting Time Data, Queueing Systems (journal)Queueing Systems (journal)Queueing Systems is a peer-reviewed scientific journal published by Springer Science+Business Media. The current editor-in-chief is Sergey Foss. According to the Journal Citation Reports, its 2009 impact factor is 0.660.- Editors-in-chief :...
, 24, (1997), 155-167 (with I. V. Basawa and R. Lund). - Estimation of the Coefficient of Variation for Unobservable Service Times in the M/G/1 Queue, Journal of Mathematical Sciences, Vol. 1, 2002 (with G. K. Miller).