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Constraint Programming

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1 year ago

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determine the available

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determine the available arrival times

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determine the available days arrival times

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determine the available days arrival times tables

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satisfying

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satisfying available tables

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satisfying existing reservations available tables

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satisfying existing reservations opening times available tables

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satisfying the size of the group existing reservations opening times available tables tests

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satisfying the size of the group existing reservations opening times available tables business rule #1 tests

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satisfying the size of the group existing reservations opening times available tables business rule #1 business rule #2 release dates tests

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satisfying the size of the group existing reservations opening times available tables business rule #1 business rule #2 business rule #3 release dates tests

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satisfying the size of the group existing reservations opening times available tables business rule #1 business rule #2 business rule #3 release dates tests which ones?

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satisfying the size of the group existing reservations opening times available tables business rule #137812 business rule #1 business rule #2 business rule #3 release dates tests which ones?

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Late night problem googling

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‘Managing Restaurant Tables Using Constraint Programming’

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‘Managing Restaurant Tables Using Constraint Programming’

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Thank you, Alfio Vidotto

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Thank you, Alfio Vidotto

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Lets define by example

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/kənˈstreɪnt/ A constraint is a logical relation
 among several variables,
 each taking a value in a given domain.

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several variables

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domain

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logical relation

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Easier done than said.

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Simple Backtracking in Ruby

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meet call/cc

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Simple Backtracking in Ruby

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Thank you, Jim Weirich

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Thank you, Jim Weirich

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First research on constraint satisfaction problems dates back to the 70s

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Montanary 1974 Waltz 1975

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Systematic use of constraints described in ‘Constraint logic programming’ Jaffar, Lassez 1987*

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30 years

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areas of research search generate and test back tracking back jumping back marking consistency node consistency arc consistency path consistency constraint propagation forward checking look ahead reducing search constraint optimisation constraint satisfaction landscape

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use constraint programming

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use constraint programming

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use constraint programming for scheduling, planning

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use constraint programming

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use constraint programming

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use constraint programming for resource allocation*

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use constraint programming

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Main advantages

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Model programs closely to their real world entities.

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Vast open research in optimising difficult problem areas.

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Clever modelling can get you around NP-hard problems. *satisfaction not guaranteed

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Interested in more?

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Upcoming events • ACP Summer Schools
 http://www.a4cp.org/events/summer-schools • CP Conference Series
 http://www.a4cp.org/events/cp-conference-series
 
 August 28th to September 1st 2017, Melbourne, Australia

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Thank you, beloved audience

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References • http://tidel.mie.utoronto.ca/pubs/Theses/vidotto.phd.pdf • http://rubyquiz.com/quiz70.html • http://www.math.unipd.it/~frossi/cp-school/CPschool05notes.pdf • http://kti.mff.cuni.cz/~bartak/constraints/index.html • http://www.hakank.org/constraint_programming_blog/ • http://www.a4cp.org