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	<title>U. Narayan Bhat - Revision history</title>
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	<updated>2026-09-07T00:13:09Z</updated>
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:27, 13 September 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Use dmy dates|date=September 2015}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Use dmy dates|date=September 2015}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;U. Narayan Bhat&#039;&#039;&#039; (born 1934) is an [[India]]n born [[Mathematician]], known for his contributions to [[queueing theory]] and [[reliability theory]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;U. Narayan Bhat&#039;&#039;&#039; (born 1934) is an [[India]]n&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;born [[Mathematician]], known for his contributions to [[queueing theory]] and [[reliability theory]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<title>&gt;David Eppstein: Category:Fellows of the Institute for Operations Research and the Management Sciences</title>
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		<summary type="html">&lt;p&gt;&lt;a href=&quot;/w/index.php?title=Category:Fellows_of_the_Institute_for_Operations_Research_and_the_Management_Sciences&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:Fellows of the Institute for Operations Research and the Management Sciences (page does not exist)&quot;&gt;Category:Fellows of the Institute for Operations Research and the Management Sciences&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{EngvarB|date=September 2015}}&lt;br /&gt;
{{Use dmy dates|date=September 2015}}&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;U. Narayan Bhat&amp;#039;&amp;#039;&amp;#039; (born 1934) is an [[India]]n born [[Mathematician]], known for his contributions to [[queueing theory]] and [[reliability theory]].&lt;br /&gt;
&lt;br /&gt;
==Academic career==&lt;br /&gt;
He received a [[Bachelor of Arts|B.A.]] in [[mathematics]] (1953) and B.T. in [[education]] (1954) from the [[University of Madras]], an [[Master of Arts|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 &amp;#039;&amp;#039;Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior&amp;#039;&amp;#039;  (1965).&amp;lt;ref&amp;gt;[http://faculty.smu.edu/nbhat/ homepage]&amp;lt;/ref&amp;gt;  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 the [[Institute for Operations Research and the Management Sciences]]&amp;lt;ref&amp;gt;{{citation|url=https://www.informs.org/Recognizing-Excellence/Fellows/Fellows-Alphabetical-List|title=Fellows: Alphabetical List|publisher=[[Institute for Operations Research and the Management Sciences]]|accessdate=2019-10-09}}&amp;lt;/ref&amp;gt; and an elected&lt;br /&gt;
member of the [[International Statistical Institute]].&lt;br /&gt;
&lt;br /&gt;
U. Narayan Bhat was a dean of research and graduate studies at [[Southern Methodist University]] and then was named interim dean for the university&amp;#039;s Dedman College .&lt;br /&gt;
&lt;br /&gt;
==Books==&lt;br /&gt;
*&amp;#039;&amp;#039;A Study of the Queueing Systems M/G/1 and GI/M/1&amp;#039;&amp;#039;, ([[Springer Verlag]], 1968)&lt;br /&gt;
*&amp;#039;&amp;#039;Elements of Applied Stochastic Processes&amp;#039;&amp;#039; ([[John Wiley &amp;amp; Sons|Wiley]], 1972)&lt;br /&gt;
*&amp;#039;&amp;#039;Introduction to Operations Research Models&amp;#039;&amp;#039; (W. B. Saunders &amp;amp; Co., 1977).  With [[L. Cooper]] and [[L. J. LeBlanc]]&lt;br /&gt;
*&amp;#039;&amp;#039;Queueing and Related Models&amp;#039;&amp;#039; ([[Oxford University Press]], 1992).  Editor with [[I. V. Basawa]]&lt;br /&gt;
*&amp;#039;&amp;#039;Elements of Applied Stochastic Processes&amp;#039;&amp;#039; ([[John Wiley &amp;amp; Sons|Wiley]], 2002).  With [[Gregory K. Miller]]&lt;br /&gt;
*&amp;#039;&amp;#039;Introduction to queueing theory&amp;#039;&amp;#039; (Birkhauser, 2008)&lt;br /&gt;
&lt;br /&gt;
==Publications==&lt;br /&gt;
*&amp;#039;&amp;#039;Further Results for the Queue with Poisson Arrivals&amp;#039;&amp;#039;, Operations Research, Vol. 11(3), (1963), 380-386 (with [[Narahari Umanath Prabhu]]).&lt;br /&gt;
*&amp;#039;&amp;#039;Imbedded Markov Chain Analysis of Single-Server Bulk Queues&amp;#039;&amp;#039;, Journal of the Australian Math, Soc., Vol. 4(2), (1964), 244-263.&lt;br /&gt;
*&amp;#039;&amp;#039;On Single-Server Bulk Queueing Processes with Binomial Input&amp;#039;&amp;#039;, Operations Research, Vol. 12(4), (1964), 527-533.&lt;br /&gt;
*&amp;#039;&amp;#039;On a Stochastic Process Occurring in Queueing Systems&amp;#039;&amp;#039;, Journal of Applied Probability, Vol. 2(2), (1965), 467-469.&lt;br /&gt;
*&amp;#039;&amp;#039;Statistical Analysis of Queueing Systems&amp;#039;&amp;#039; in  Frontiers in Queuing by Dshalalow etc. (1997). (with G.K. Miller and S. Subba Rao).&lt;br /&gt;
*&amp;#039;&amp;#039;Estimation of Renewal Processes with Unobservable Gamma or Erlang Interarrival Times&amp;#039;&amp;#039;, J. Stat. Plan. and Inf., 61 (1997), 355-372 (with G. K. Miller).&lt;br /&gt;
*&amp;#039;&amp;#039;Maximum Likelihood Estimation for Single Server Queues from Waiting Time Data&amp;#039;&amp;#039;, [[Queueing Systems (journal)]], 24, (1997), 155-167 (with I. V. Basawa and R. Lund).&lt;br /&gt;
*&amp;#039;&amp;#039;Estimation of the Coefficient of Variation for Unobservable Service Times in the M/G/1 Queue&amp;#039;&amp;#039;, [[Journal of Mathematical Sciences]], Vol. 1, 2002 (with G. K. Miller).&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
* [https://scholar.google.com/scholar?q=%22UN+Bhat%22&amp;amp;hl=en&amp;amp;lr= On Google scholar]&lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
*[https://www.informs.org/About-INFORMS/History-and-Traditions/Biographical-Profiles/Bhat-U.-Narayan Biography of U. Narayan Bhat] from the Institute for Operations Research and the Management Sciences (INFORMS)&lt;br /&gt;
&lt;br /&gt;
{{Authority control}}&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT:Bhat, U. Narayan}}&lt;br /&gt;
[[Category:University of Western Australia alumni]]&lt;br /&gt;
[[Category:Michigan State University faculty]]&lt;br /&gt;
[[Category:Case Western Reserve University faculty]]&lt;br /&gt;
[[Category:Southern Methodist University faculty]]&lt;br /&gt;
[[Category:Queueing theorists]]&lt;br /&gt;
[[Category:Indian emigrants to the United States]]&lt;br /&gt;
[[Category:Elected Members of the International Statistical Institute]]&lt;br /&gt;
[[Category:1934 births]]&lt;br /&gt;
[[Category:Living people]]&lt;br /&gt;
[[Category:Fellows of the American Statistical Association]]&lt;br /&gt;
[[Category:Fellows of the Institute for Operations Research and the Management Sciences]]&lt;br /&gt;
[[Category:American Hindus]]&lt;br /&gt;
[[Category:Karnatak University alumni]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{India-scientist-stub}}&lt;br /&gt;
{{Asia-mathematician-stub}}&lt;br /&gt;
{{statistician-stub}}&lt;/div&gt;</summary>
		<author><name>&gt;David Eppstein</name></author>
	</entry>
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