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They denote optimal allocation problem (OPTRA) the winner determination problem that is a so called multi-commodity flow problem with additional constraints solved with integer programming techniques.
The general multi-band scheduling (GMBS) problem (proposed in [20]) is solved with integer programming (IP), using binary variables, as it is formulated by a general assignment problem (GAP) [25].
MinPath [ 55] introduced a parsimony method solved with integer programming to filter out spurious assignments and basically to find the minimal set of pathways that can be explained with the supplied gene functions and abundances.
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Our approach consists in a decomposition method where the master problem (scheduling) is modelled with constraint programming and the subproblem (conflict free routing) with mixed integer programming.
The proposed algorithm is tested on several sets of instances and compared with Mixed Integer Programming (MIP) and SA.
We report some preliminary results obtained for MIPLIB 3.0 and 2003 instance sets, comparing our approach with an integer programming based separation method.
Combined with mixed integer programming, the model is able to provide optimal technology development route for the energy supply consumption system.
Chen (2011) studied modeling E&P project portfolio optimization through multistage stochastic programs with mixed integer programming (MIP) techniques.
The fuzzy C-mean (FCM) with binary integer programming method is applied to automatically allocate the WTs to nearest substations [9].
Ghodsypour and O'Brien (1997) suggested integrated analytical hierarchy process (AHP) with mixed integer programming to develop a decision support system (DSS).
The graph is then partitioned into subproblems, which we solve with mixed integer programming.
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