ANDHRA UNIVERSITY, WALTAIR
M.Sc. APPLIED MATHEMATICS, FOURTH SEMSTER
AM-408 : OPTIMIZATION TECHNIQUES - II
[ A total of seven questions are to be set. All questions carry equal marks. The first question which is compulsory carries 20 marks. It consists of 4 short answer sub questions each of five marks covering the entire syllabus. The remaining six questions each carrying 20 marks are to be set as suggested in the body of the syllabi.]
_______________________________________________________________________________________________________
Game Theory, solution of Games with and without saddle points, minimax/ maximini priniciple, principle of Dominance, matrix method for (m x n) Games without saddle point, algebraic method. (Chapter 1 of Unit 4 (except 1.22)
( one question is to be set)
Inventory, classification, inventory models, EOQ models with and without shortages, multi item determinetic models, dynamic demand models (Chapter 2 of unit 4 (2.1 to 2.17)
( one question is to be set)
Replacement models : Replacement of items that deteriates with time, individual replacement. Group replacement policies, recruitment and production problem, equipment and renewal problem systems reliability. (Chapter 4 of unit 4)
( one question is to be set)
Queuing theory, distribution in queueing systems, poison process, classification and solutions of queuing model, models 1-4 (Chapter 5 of unit 4 (5.1 to 5.15).
( one question is to be set)
Job sequencing : Processing of n-jobs through 2/3/m machines ( chapter 6 of unit 4)
( one question is to be set)
Net work analysis, PERT / CPM Techniques network diagram representation time estimates and critical path in net work analysis, uses of PERT/ CPM techniques (Chapter 7 of unit -4)
(One question is to be set)
Text book : Operations Research by S.D.Sarma ( 12th edition ) Kedarnath, Ramnath and company.