*Elena V. Pachkova*:

The price function is generated while solving the primal problem. However; different to the LP dual variables; the characteristics of the dual price function depend on the algorithmic approach used to solve the MIP problem. Thus; the cutting plane approach provides non-decreasing and superadditive price functions while branch-and-bound algorithm generates piecewise linear; nondecreasing and convex price functions.

Here a hybrid algorithm based on branch-and-cut is investigated; and a price function for that algorithm is established. This price function presents a generalization of the dual price functions obtained by either the cutting plane or the branch-and-bound method.

## Nordic MPS 2004. The Ninth Meeting of the Nordic Section of the Mathematical Programming Society

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