What is a Disjunction? - IEOR @IIT Bombay

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Formulation Technique

LP 2

DUAL 2

MIP

Br. MIP

General

Disjunction

LP

1

DUAL

1

Solve using

traditional solver

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Problem of Maximizing Lower Bound Criterion for selecting general disjunction: Maximization of the lower bound obtained after applying the disjunction. Problem Find (ˆπ, ˆπ 0 ) ∈ Z such that objective function value is at least (some given) K in both subproblems. Ax ≥ b cx ≤ K πx ≤ π 0 and Ax ≥ b cx ≤ K ˆπx ≥ ˆπ 0 + 1 (1) should both be infeasible.

Formulation Technique LP 2 DUAL 2 MIP Br. MIP General Disjunction LP 1 DUAL 1 Solve using traditional solver

Page 1 and 2: In Search of Optimal Disjunctions i
Page 3: What is a Disjunction? Given a MIP
Page 7 and 8: Examples * * * * * * * * * * * * *
Page 9 and 10: Computational Complexity The proble
Page 11 and 12: Using Formulations for “best” C
Page 13: Conclusions and Future Work ◮ Sel

What is a Disjunction? - IEOR @IIT Bombay

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