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Test 2 Review 620-2010
Course: ISEN 620, Fall 2011School: Texas A&M
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2 Test Review 620/2010 1. Cost and rhs sensitivity analysis LP 2. Duality LP 3. Cutting stock large scale LP 4. Definition of local max, min 5. Necessary conditions for a local max, min, saddle point (stationary points) FONC 6. Sufficient conditions for typing a stationary point (max, min, saddle) SOSC 7. Tests for determining #5: eigenvalues, determinant tests 8. Hill climbing algorithms: (i) one-dimensional...
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2 Test Review 620/2010
1. Cost and rhs sensitivity analysis LP
2. Duality LP
3. Cutting stock large scale LP
4. Definition of local max, min
5. Necessary conditions for a local max, min, saddle point (stationary points) FONC
6. Sufficient conditions for typing a stationary point (max, min, saddle) SOSC
7. Tests for determining #5: eigenvalues, determinant tests
8. Hill climbing algorithms:
(i) one-dimensional Golden
(b) search
(a) Fibonacci
(c) exact quadratic
(ii) multiple dimensional search
(a) gradient (steepest ascent/descent)
(b) Newtons
(c) quasi-Newton rank-one update
(d) Powells non-derivative method
8. Function approximation
(i) Taylors series (one and multiple dimensional)
(ii) Lagrange polynomials (one-dimensional)
9. Newton-Raphson (one and multiple dimensional) Root finding method
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Texas A&M - ISEN - 620
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Homework Sol Due 9-15-2011 M-M-1-4 addedFile:ssque.mleProblem 1:S = 1 + x + x2 + x3 +xS = x + x 2 + x 3 + x 4 ++ xk+ x k + x k +1subtracting line 2 from line 1:S xS = 1 + x x + x 2 x 2 ++ x k x k x k +1S (1 x ) = 1 x k +1S=1 x k +11 xFile:ss
Texas A&M - ISEN - 316
Texas A&M - ISEN - 316
Problem 30 M/G/1/ systemlam = 4 mu = 5 Ca2 = 1util = 0.8000 E[Ts] = 0.2000[][]-case: 1 Cs2 = 0.5000 CTs = 0.8000case: 2 Cs2 = 1.0000 CTs = 1.0000case: 3 Cs2 = 2.0000 CTs = 1.4000Problem 31 M/G/1/ systemThe book incorrectly referenced Problem 3.29
Texas A&M - ISEN - 316
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