7/29/2019 Optimization Notes

1/207

7/29/2019 Optimization Notes

2/207

DISCLAIMER: While the document has attempted to make the information as accurate as possible, the information on this document is for personal and/or

educational use only and is provided in good faith without any express or implied warranty. There is no guarantee given as to the accuracy or currency of any

individual items. The document does not accept responsibility for any loss or damage occasioned by use of the information contained and acknowledgescredit of author(s) where ever due. While the document makes every effort to ensure the availability and integrity of its resources, it cannot guarantee that

these will always be available, and/or free of any defects, including viruses. Users should take this into account when accessing the resources. All access and

use is at the risk of the user and owner reserves that right to control or deny access.

Information, notes, models, graph etc. provided about subjects, topics, units, courses and any other similar arrangements for course/paper, are an expression

to facilitate ease of learning and dissemination of views/personal understanding and as such they are not to be taken as a firm offer or undertaking. The

document reserves the right to discontinue or vary such subjects, topic, units, courses, or arrangements at any time without notice and to impose limitations

on accessibility in any course.

Optimization Notes, First Edition

Copyright 2013 Akshansh

ALL RIGHTS RESERVED.

Presented by: Akshansh Chaudhary

Graduate of BITS Pilani, Dubai Campus

Batch of 2011

Course content by: Dr. T. K. Dutta

Then Faculty, BITS Pilani, Dubai Campus

Layout design by: AC Creations 2013

The course content was prepared during Fall, 2013.

More content available at:www.Akshansh.weebly.com

http://www.akshansh.weebly.com/http://www.akshansh.weebly.com/http://www.akshansh.weebly.com/http://www.akshansh.weebly.com/

7/29/2019 Optimization Notes

3/207

7/29/2019 Optimization Notes

4/207

7/29/2019 Optimization Notes

5/207

7/29/2019 Optimization Notes

6/207

7/29/2019 Optimization Notes

7/207

7/29/2019 Optimization Notes

8/207

7/29/2019 Optimization Notes

9/207

7/29/2019 Optimization Notes

10/207

7/29/2019 Optimization Notes

11/207

7/29/2019 Optimization Notes

12/207

7/29/2019 Optimization Notes

13/207

7/29/2019 Optimization Notes

14/207

7/29/2019 Optimization Notes

15/207

7/29/2019 Optimization Notes

16/207

7/29/2019 Optimization Notes

17/207

7/29/2019 Optimization Notes

18/207

7/29/2019 Optimization Notes

19/207

7/29/2019 Optimization Notes

20/207

7/29/2019 Optimization Notes

21/207

7/29/2019 Optimization Notes

22/207

7/29/2019 Optimization Notes

23/207

7/29/2019 Optimization Notes

24/207

7/29/2019 Optimization Notes

25/207

7/29/2019 Optimization Notes

26/207

7/29/2019 Optimization Notes

27/207

7/29/2019 Optimization Notes

28/207

7/29/2019 Optimization Notes

29/207

7/29/2019 Optimization Notes

30/207

7/29/2019 Optimization Notes

31/207

7/29/2019 Optimization Notes

32/207

7/29/2019 Optimization Notes

33/207

7/29/2019 Optimization Notes

34/207

7/29/2019 Optimization Notes

35/207

7/29/2019 Optimization Notes

36/207

7/29/2019 Optimization Notes

37/207

7/29/2019 Optimization Notes

38/207

7/29/2019 Optimization Notes

39/207

7/29/2019 Optimization Notes

40/207

7/29/2019 Optimization Notes

41/207

7/29/2019 Optimization Notes

42/207

7/29/2019 Optimization Notes

43/207

7/29/2019 Optimization Notes

44/207

7/29/2019 Optimization Notes

45/207

7/29/2019 Optimization Notes

46/207

7/29/2019 Optimization Notes

47/207

7/29/2019 Optimization Notes

48/207

7/29/2019 Optimization Notes

49/207

7/29/2019 Optimization Notes

50/207

7/29/2019 Optimization Notes

51/207

7/29/2019 Optimization Notes

52/207

7/29/2019 Optimization Notes

53/207

7/29/2019 Optimization Notes

54/207

7/29/2019 Optimization Notes

55/207

7/29/2019 Optimization Notes

56/207

7/29/2019 Optimization Notes

57/207

7/29/2019 Optimization Notes

58/207

7/29/2019 Optimization Notes

59/207

7/29/2019 Optimization Notes

60/207

7/29/2019 Optimization Notes

61/207

7/29/2019 Optimization Notes

62/207

7/29/2019 Optimization Notes

63/207

7/29/2019 Optimization Notes

64/207

7/29/2019 Optimization Notes

65/207

7/29/2019 Optimization Notes

66/207

7/29/2019 Optimization Notes

67/207

7/29/2019 Optimization Notes

68/207

7/29/2019 Optimization Notes

69/207

7/29/2019 Optimization Notes

70/207

7/29/2019 Optimization Notes

71/207

7/29/2019 Optimization Notes

72/207

7/29/2019 Optimization Notes

73/207

7/29/2019 Optimization Notes

74/207

7/29/2019 Optimization Notes

75/207

7/29/2019 Optimization Notes

76/207

7/29/2019 Optimization Notes

77/207

7/29/2019 Optimization Notes

78/207

7/29/2019 Optimization Notes

79/207

7/29/2019 Optimization Notes

80/207

7/29/2019 Optimization Notes

81/207

7/29/2019 Optimization Notes

82/207

7/29/2019 Optimization Notes

83/207

7/29/2019 Optimization Notes

84/207

7/29/2019 Optimization Notes

85/207

7/29/2019 Optimization Notes

86/207

7/29/2019 Optimization Notes

87/207

7/29/2019 Optimization Notes

88/207

7/29/2019 Optimization Notes

89/207

7/29/2019 Optimization Notes

90/207

7/29/2019 Optimization Notes

91/207

7/29/2019 Optimization Notes

92/207

7/29/2019 Optimization Notes

93/207

7/29/2019 Optimization Notes

94/207

7/29/2019 Optimization Notes

95/207

7/29/2019 Optimization Notes

96/207

7/29/2019 Optimization Notes

97/207

7/29/2019 Optimization Notes

98/207

7/29/2019 Optimization Notes

99/207

7/29/2019 Optimization Notes

100/207

7/29/2019 Optimization Notes

101/207

7/29/2019 Optimization Notes

102/207

7/29/2019 Optimization Notes

103/207

7/29/2019 Optimization Notes

104/207

7/29/2019 Optimization Notes

105/207

7/29/2019 Optimization Notes

106/207

7/29/2019 Optimization Notes

107/207

7/29/2019 Optimization Notes

108/207

7/29/2019 Optimization Notes

109/207

7/29/2019 Optimization Notes

110/207

7/29/2019 Optimization Notes

111/207

7/29/2019 Optimization Notes

112/207

7/29/2019 Optimization Notes

113/207

7/29/2019 Optimization Notes

114/207

7/29/2019 Optimization Notes

115/207

7/29/2019 Optimization Notes

116/207

7/29/2019 Optimization Notes

117/207

7/29/2019 Optimization Notes

118/207

7/29/2019 Optimization Notes

119/207

7/29/2019 Optimization Notes

120/207

7/29/2019 Optimization Notes

121/207

7/29/2019 Optimization Notes

122/207

7/29/2019 Optimization Notes

123/207

7/29/2019 Optimization Notes

124/207

7/29/2019 Optimization Notes

125/207

7/29/2019 Optimization Notes

126/207

7/29/2019 Optimization Notes

127/207

7/29/2019 Optimization Notes

128/207

7/29/2019 Optimization Notes

129/207

7/29/2019 Optimization Notes

130/207

7/29/2019 Optimization Notes

131/207

7/29/2019 Optimization Notes

132/207

7/29/2019 Optimization Notes

133/207

7/29/2019 Optimization Notes

134/207

7/29/2019 Optimization Notes

135/207

7/29/2019 Optimization Notes

136/207

7/29/2019 Optimization Notes

137/207

7/29/2019 Optimization Notes

138/207

7/29/2019 Optimization Notes

139/207

7/29/2019 Optimization Notes

140/207

7/29/2019 Optimization Notes

141/207

7/29/2019 Optimization Notes

142/207

7/29/2019 Optimization Notes

143/207

7/29/2019 Optimization Notes

144/207

7/29/2019 Optimization Notes

145/207

7/29/2019 Optimization Notes

146/207

7/29/2019 Optimization Notes

147/207

7/29/2019 Optimization Notes

148/207

7/29/2019 Optimization Notes

149/207

7/29/2019 Optimization Notes

150/207

7/29/2019 Optimization Notes

151/207

7/29/2019 Optimization Notes

152/207

7/29/2019 Optimization Notes

153/207

7/29/2019 Optimization Notes

154/207

7/29/2019 Optimization Notes

155/207

7/29/2019 Optimization Notes

156/207

7/29/2019 Optimization Notes

157/207

7/29/2019 Optimization Notes

158/207

7/29/2019 Optimization Notes

159/207

7/29/2019 Optimization Notes

160/207

7/29/2019 Optimization Notes

161/207

7/29/2019 Optimization Notes

162/207

7/29/2019 Optimization Notes

163/207

7/29/2019 Optimization Notes

164/207

7/29/2019 Optimization Notes

165/207

7/29/2019 Optimization Notes

166/207

7/29/2019 Optimization Notes

167/207

7/29/2019 Optimization Notes

168/207

7/29/2019 Optimization Notes

169/207

7/29/2019 Optimization Notes

170/207

7/29/2019 Optimization Notes

171/207

7/29/2019 Optimization Notes

172/207

7/29/2019 Optimization Notes

173/207

7/29/2019 Optimization Notes

174/207

7/29/2019 Optimization Notes

175/207

7/29/2019 Optimization Notes

176/207

7/29/2019 Optimization Notes

177/207

7/29/2019 Optimization Notes

178/207

7/29/2019 Optimization Notes

179/207

7/29/2019 Optimization Notes

180/207

7/29/2019 Optimization Notes

181/207

7/29/2019 Optimization Notes

182/207

7/29/2019 Optimization Notes

183/207

7/29/2019 Optimization Notes

184/207

7/29/2019 Optimization Notes

185/207

7/29/2019 Optimization Notes

186/207

7/29/2019 Optimization Notes

187/207

7/29/2019 Optimization Notes

188/207

7/29/2019 Optimization Notes

189/207

7/29/2019 Optimization Notes

190/207

7/29/2019 Optimization Notes

191/207

7/29/2019 Optimization Notes

192/207

7/29/2019 Optimization Notes

193/207

7/29/2019 Optimization Notes

194/207

7/29/2019 Optimization Notes

195/207

7/29/2019 Optimization Notes

196/207

7/29/2019 Optimization Notes

197/207

7/29/2019 Optimization Notes

198/207

7/29/2019 Optimization Notes

199/207

7/29/2019 Optimization Notes

200/207

7/29/2019 Optimization Notes

201/207

7/29/2019 Optimization Notes

202/207

7/29/2019 Optimization Notes

203/207

7/29/2019 Optimization Notes

204/207

7/29/2019 Optimization Notes

205/207

7/29/2019 Optimization Notes

206/207

7/29/2019 Optimization Notes

207/207