Constraint Programming and Operations Research - CiteSeerX
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Constraint Programming and Operations Research - CiteSeerX
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Constraint Programming and Operations Research Ken McAloon Carol Tretkoff
Logic Based Systems Lab Brooklyn College and CUNY Graduate Center
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AI OR
CS
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1. 2LP and continuous variables The feasible region
2. Linear programs The Fortune Teller (Boole’s probabilistic logic)
3. Discriminating Functions Cell discrimination
4. Integer programs Call 911
5. And/Or Fast food
6. Randomized search strategies The set covering problem
7. The Injury Method (Branch-n-Bound)
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Proving optimality Dual thinking and the injury method, Least discrepancy search Shuffles
8. Disjunctive Linear Programming Definitions A blending problem Discrete disjunctive programming
9. Cuts The Pigeon Hole Principle Capacitated Warehouse Location Problem
10. Libraries and Languages Informal discussion
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2LP •Is a logic-based language with C-like Syntax • Captures and extends the practice of linear and integer programming
•Adds a new type continuous •Supports linear constraints on the type continuous by means of a linear programming engine
•Supports calls to external C functions and conversely
•Supports failure of constraints by interpreting the logical connectives as in logic programming
•Supports procedural programming for mixed discrete and continuous methods
•Supports new search strategies •Supports disjunctive linear programming •Expands to parallel and distributed computing
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Creating the Feasible Region 2lp_main() { continuous X,Y,Z; X + Y + Z
