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STOCHASTIC LOCAL SEARCH FOUNDATIONS AND APPLICATIONS

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Combinatorial Problems

Combinatorial problems arise in many areas
of computer science and application domains:


finding shortest/cheapest round trips (TSP)
 finding models of propositional formulae (SAT)
 planning, scheduling, time-tabling
 internet data packet routing
 protein structure prediction
 combinatorial auctions winner determination
Stochastic


Every decision problem has two variants:

Search variant: Find a solution for given problem instance
(or determine that no solution exists)

Decision variant: Determine whether solution


Variants of optimisation problems:

Search variant: Find a solution with optimal
objective function value for given problem instance

Evaluation variant: Determine optimal objective function
value for given problem instance
for given problem instance exists