62 40 33 D 44 10 10 25 B Use the Nearest Neighbor Algorithm starting at vertex A to find an approximate optimal Hamiltonian circuit. The circuit which gives the approximate optimal solution is The approximate optimal solution is 68 15 41
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- Use the Nearest Neighbor Algorithm starting at vertex A to estimate the optimal Hamiltonian circuit. 1. The Hamiltonian circuit which gives an estimate to the optimal solution is . 2. The estimate for the optimal solution given by the Hamiltonian circuit is IMAGE BELOWUse the Nearest Neighbor Algorithm starting at vertex A to estimate the optimal Hamiltonian circuit. The Hamiltonian circuit which gives an estimate to the optimal solution is. The estimate for the optimal solution given by the Hamiltonian circuit is. IMMAGE ATTACHEDUse the simplex algorithm to find the optimal solution to the following LP:
- By employing the Adams Fourth-Order Predictor-Corrector algorithm with the step size h=0.2, find the numerical solution of the following problem at t = 0.4; y^ prime =t^ 2 -2e^ -2t; y(0) = 1 , The true solution of this problem is 0 <= t <= 1 , y(t) = (t ^ 3)/3 + e ^ (- 2t) * C * o * m * p * c numerical result with the actual solution at this point. the obtained4. Solve the given LP model by Simplex Algorithm (a) Algebraic form (b) Tableau method Max: 5x_{1} + 4x_{2} + 3x_{3} St: 2x_{1} + 3x_{2} + x_{3} = 01) Formulate its dual LP 2) Find the optimal solution of the dual LP by careful inspection without solving it using any algorithm: No Simplex algorithm.
- Solve the following system of equations using the Gaussian algorithm with column pivoting and backward insertion: 2x2 − 4x3 + x4 = −8x1 + 2x2 + 3x3 − x4 = 3−3x1 + 2x3 + 2x4 = −32x1 + x2 − x4 = 2Column pivoting means that in the respective elimination stepsu. a row swap may be carried out in the respective elimination steps, so that the elimination elementa(m)mm is the largest element of the elimination column in terms of amount.1)Answer using either the standard or 2-phase simplex algorithm. 2)give the initial tableau and each further tableau produced during the execution of the algorithm . 3)if it has an optimal solution give solution if not state whyGiven the following LP: Min 4x1 + 6x2 s.t 2x1 + 2x2 ≥ 3, x1 + 3x2 ≥ 2, x1 + 3x2 ≥ 0, Part A. Find its dual LP. Part B. Use graphical method or the Simplex algorithm, solve the primal LP in (1). Part C. Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A). Find its dual LP. Max is 3y1 + 2y2 s.t 2y1 + y2 + y3 ≤ 4 2y1 + 3y2 + 3y3 ≤ 6 X1 + x2 ≥ 0