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TRANSPORTATION PROBLEM

TRANSPORTATION PROBLEM. STEP 1. 4. 6. 8. 3. 5. 5. 7. 4. 2. 3. 11. 9. ITERATION 1 STEP 2. Client. Avail-able. 1. 2. 3. 4. Factories. 1. 700. 700. 4. 6. 8. 3. 2. 300. 600. 900. 5. 5. 7. 4. 3. 500. 500. 600. 1600. 2. 3. 11. 9. Qty Req. 800. 500. 600.

austin-wilson
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TRANSPORTATION PROBLEM

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  1. TRANSPORTATIONPROBLEM

  2. STEP 1 4 6 8 3 5 5 7 4 2 3 11 9

  3. ITERATION 1 STEP 2 Client Avail-able 1 2 3 4 Factories 1 700 700 4 6 8 3 2 300 600 900 5 5 7 4 3 500 500 600 1600 2 3 11 9 Qty Req 800 500 600 1300

  4. ITERATION 1 STEP 3 BASIC: Set x1j = 0; Solve variables using cij = ui + vj vj 4 5 13 3 ui 1 2 3 4 0 1 700 700 4 6 8 3 1 2 300 600 900 5 5 7 4 -2 3 500 500 600 1600 2 3 11 9 800 500 600 1300

  5. ITERATION 1 STEP 3 NON-BASIC: xij = cij – ui - vj vj 4 5 13 3 ui 1 2 3 4 0 1 0 1 -5 700 700 4 6 8 3 1 2 300 -1 -7 600 900 5 5 7 4 -2 3 500 500 600 8 1600 2 3 11 9 800 500 600 1300

  6. ITERATION 1 STEP 3 4 6 8 3 5 5 7 4 2 3 11 9

  7. ITERATION 1 STEP 3 vj 4 5 13 3 ui 1 2 3 4 0 1 0 1 -5 700 700 4 6 8 3 1 2 300- θ -1 -7+θ 600 900 5 5 7 4 -2 3 500+ θ 500 600- θ 8 1600 2 3 11 9 800 500 600 1300

  8. ITERATION 2 STEP 2 4 6 8 3 5 5 7 4 2 3 11 9

  9. ITERATION 2 STEP 3 4 6 8 3 5 5 7 4 2 3 11 9

  10. ITERATION 2 STEP 3 4 6 8 3 5 5 7 4 2 3 11 9

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