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methods,  Hungarian  method,  Unbalanced  AP;  Rule  to  draw  minimum  numbers  of  lines,
               illustrative problems, Traveling Salesman Problem

               UNIT III                                                                           (15 Hours)
               Game theory: Two-person, zero-sum games, The maximin – minimax principle, pure strategies,
               mixed  strategies,  Graphical  solution  of  2xn  and  mx2  games,  Dominance  property,  General
               solution  of      ×      rectangular  games,  Linear  programming  problem  of  GP.  Queueing  Theory:
               Queueing systems,  Queueing problem,  Transient  and steady states,  Probability Distributions  in
               Queueing  systems.  Poisson  process  (pure  birth  process),  Properties  of  Poisson‘s  arrivals,
               Exponential process, Markovian property, Pure death process, Service time distribution, Erlang
               service time distribution, Solution of Queueing Models: (M |(M |1) : (∞ |FCFS), (Birth and Death
               Model).

               *TUTORIAL (15 Hours (1 Hour per week))


               SUGGESTED READING:

                   1.  S.D. Sharma, Operations Research, Kedar Nath Ram Nath & Co. 14th Edition 2004 .
                   2.  Kanti Swarup, P.K. Gupta and Manmohan, Operations Research, Sultan Chand & Sons
                       12th Edition, 2004.
                   3.  G. Hadley, Linear Programming, Narosa Publishing House (2002).
                   4.  H.A.  Taha,  Operations  Research:  An  Introduction,  Prentice  Hall  of  India  Pvt.  Ltd.,  7th
                       Edition, 2004.
                   5.  J.K. Sharma, Operations Research, Macmillan India Pvt. Ltd. 2003




               RESEARCH/PROJECT/SEMINAR:



               Math.391                   Seminar                                                        0+1

               LEARNING OBJECTIVES:

               The primary aim of this course is to:
                     Identify the problem related to the area of course specialization.
                     Outline annotated bibliography of research demonstrating scholarly skills.
                     Prepare  a  well-organized  report  employing  elements  of  technical  writing  and  critical
                       thinking.
                     Demonstrate  the  ability  to  describe,  interpret  and  analyze  technical  issues  and  develop
                       competence in presenting.

               LEARNING OUTCOMES:

               At the end of this course, students will be able to:
                         Establish  motivation  for  any  topic  of  interest  and  develop  a  thought  process  for
                           technical presentation.
                         Organize a detailed literature survey and build a document with respect to technical
                           publications.
                         Analysis and comprehension of proof-of-concept and related data.
                         Effective presentation and improve soft skills.
                         Make use of new and recent technology for creating technical reports




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