Engineering Optimization: Theory and Practice, Fourth Edition
Table 4.1 Original System of Equations Admissible (original) variable Artificial variable Objective variable x 1 x^2 · · · xj · ...
184 Linear Programming II: Additional Topics and Extensions Table 4.2 Tableau at the Beginning of Cycle 0 Columns of the canonic ...
4.2 Revised Simplex Method 185 Table 4.3 Relative Cost Factordjorcj Variablexj Cycle number x 1 x 2 · · · xn xn+ 1 xn+ 2 · · · x ...
186 Linear Programming II: Additional Topics and Extensions the basic set in the next cycle in place of therth basic variable (r ...
4.2 Revised Simplex Method 187 Table 4.5 Tableau at the Beginning of Cyclek+ 1 Columns of the canonical form Basic variables xn+ ...
188 Linear Programming II: Additional Topics and Extensions Table 4.6 Detached Coefficients of the Original System Admissible va ...
4.2 Revised Simplex Method 189 Table 4.8 Relative Cost Factorscj Variablexj Cycle number x 1 x 2 x 3 x 4 x 5 x 6 Phase II Cycle ...
190 Linear Programming II: Additional Topics and Extensions Table 4.9 Tableau at the Beginning of Cycle 1 Columns of the origina ...
4.2 Revised Simplex Method 191 Table 4.10 Tableau at the Beginning of Cycle 2 Columns of the original canonical form Basic varia ...
192 Linear Programming II: Additional Topics and Extensions 4.3 Duality in Linear Programming Associated with every linear progr ...
4.3 Duality in Linear Programming 193 4.3.2 General Primal–Dual Relations Although the primal–dual relations of Section 4.3.1 ar ...
194 Linear Programming II: Additional Topics and Extensions Table 4.13 Primal–Dual Relations Wherem∗=mandn∗=n Primal problem Cor ...
4.3 Duality in Linear Programming 195 4.3.4 Duality Theorems The following theorems are useful in developing a method for solvin ...
196 Linear Programming II: Additional Topics and Extensions as variants of the regular simplex method, to solve a linear program ...
4.3 Duality in Linear Programming 197 2.We can see that the primal will not have a feasible solution when allarj are nonnegative ...
198 Linear Programming II: Additional Topics and Extensions Step 1Write the system of equations (E 1 ) in tableau form: Basic Va ...
4.3 Duality in Linear Programming 199 Step 2Sincea 22 is the only negative coefficient, it is taken as the pivot element. Step 3 ...
200 Linear Programming II: Additional Topics and Extensions 4.4 Decomposition Principle Some of the linear programming problems ...
4.4 Decomposition Principle 201 A 1 X 1 +A 2 X 2 + · · · +ApXp=b 0 (4.25b) B 1 X 1 =b 1 B 2 X 2 =b 2 .. . BpXp=bp ...
202 Linear Programming II: Additional Topics and Extensions of feasible solutions is a bounded convex set, letskbe the number of ...
«
6
7
8
9
10
11
12
13
14
15
»
Free download pdf