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(Q2) Consider a transshipment problem (TP) with digraph D (N, A), are costs w E

ID: 3283424 • Letter: #

Question

(Q2) Consider a transshipment problem (TP) with digraph D (N, A), are costs w E RA and node demands b ERN. Consider a pivot (iteration) of the network simplex method (NSM) applied to the TP. At the start of the pivot, let T be the spanning tree, let y e Ry be the node potentials, and let r e RA be the tree flow. Let the entering arc be uu, and let the leaving arc be p? (assume that both exist). Let Q be the oriented cycle in T + uv, and let (Q)-minfa, Jij is a reverse arc of Q). (#) Derive a formula for the change in the objective value (in the pivot) in terms of Wuy and other parameters. (b) Derive a formula for the reduced cost of the leaving are pa after the pivot.

Explanation / Answer

Transshipment or Transhipment is the shipment of goods or containers to an intermediate destination, and then from there to yet another destination. One possible reason is to change the means of transport during the journey (for example from ship transport to road transport), known as transloading.