Theorem 2.4 states that x is a basic solution if and only if we have Ax = b satisfied where the basis matrix has m linearly independent columns and for the n - m nonbasic variables, x j = 0. optimal solution: D). transportation problem the solution is said to non-degenerate solution if c. degenerate solution. a. where all the constraints are satisfied simultaneously. Is optimal solution to dual not unique if optimal solution If the number of allocations is shorter than m+n-1, then the solution is said to be degenerate. If x B i 62f B i 0; B i 1;:::; B B i+1 gfor any i, then it is a non-degenerate BFS. Is there such a thing as "right to be heard" by the authorities? c. MODI method. If there is an optimal solution, then there is an optimal BFS. If a basic feasible solution of a transportation problem is not degenerate, the next iteration must result in an improvement of the objective. 4x 1 + x 2 8. The solution is unbounded b. b. it will be impossible to evaluate all empty cells without removing the degeneracy. Trouble understanding a passage in Nonlinear Programming by Bertsekas. 7, pp. prubin Oct 27, 2020 at 19:11 Add a comment 1 Answer Sorted by: 3 Unbalanced Transportation Problems : where the total supply is not equal to the total demand. a. north west corner rule. WebUse complementary slackness to prove that if (P) has infinitely many optimal solutions, then its dual (D) has a degenerate optimal solution. Give Me One Good Reason Chords, Therefore, besides having degenerate solution, this nice problem has also multiple solutions. 4-3 2 . Balanced Transportation Problems : where the total supply is equal to the total demand. Lecture 9 1 Verifying optimality equal to total demand . "6W.e4}0Q=\ro_@_(&Su%w{2_Lk ]ZDUI!}aZgtc/VE&Tfl(:*2/5AR.lA)-#"Z55EH/U}:[qI&!%XC3X(?w6JRB}j?Ce6@`Hq]-"*V%QCQDXD&B&C!k&8 kzeXEG{R2Yxd)9998P8P;j&vS@2VYz"vu
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