Global constraint catalog

N Beldiceanu, M Carlsson, JX Rampon - 2010 - diva-portal.org
This report presents a catalogue of global constraints where each constraint is explicitly
described in terms of graph properties and/or automata and/or first order logical formulae …

Optimal rectangle packing: An absolute placement approach

E Huang, RE Korf - Journal of Artificial Intelligence Research, 2013 - jair.org
We consider the problem of finding all enclosing rectangles of minimum area that can
contain a given set of rectangles without overlap. Our rectangle packer chooses the x …

Search strategies for rectangle packing

H Simonis, B O'Sullivan - … Conference on Principles and Practice of …, 2008 - Springer
Rectangle (square) packing problems involve packing all squares with sizes 1× 1 to n× n
into the minimum area enclosing rectangle (respectively, square). Rectangle packing is a …

Time-table extended-edge-finding for the cumulative constraint

P Ouellet, CG Quimper - … and Practice of Constraint Programming: 19th …, 2013 - Springer
We propose a new filtering algorithm for the cumulative constraint. It applies the Edge-
Finding, the Extended-Edge-Finding and the Time-Tabling rules in O (kn log n) where k is …

Automated layout generation methods for 2d spatial packing

SRT Peddada, SB Rodriguez… - … and Information in …, 2020 - asmedigitalcollection.asme.org
Abstract Development of a computationally-tractable design method for combined multi-
physics optimization of packing and routing problems, at a relevant scale, within compact …

[PDF][PDF] New improvements in optimal rectangle packing

E Huang, RE Korf - Twenty-First International Joint Conference on …, 2009 - cse.unl.edu
The rectangle packing problem consists of finding an enclosing rectangle of smallest area
that can contain a given set of rectangles without overlap. Our algorithm picks the x …

LP bounds in various constraint programming approaches for orthogonal packing

M Mesyagutov, G Scheithauer, G Belov - Computers & Operations …, 2012 - Elsevier
We consider the 2D orthogonal feasibility problem (OPP-2) and the 2D strip packing
problem (SPP-2). Given a set of rectangular items, the OPP-2 is to decide whether all items …

One‐dimensional relaxations and LP bounds for orthogonal packing

G Belov, V Kartak, H Rohling… - International …, 2009 - Wiley Online Library
We consider the feasibility problem in d‐dimensional orthogonal packing (d2), called the
Orthogonal Packing Problem (OPP): given a set of d‐dimensional rectangular items, decide …

Global constraint catalog, (revision a)

N Beldiceanu, M Carlsson, JX Rampon - 2012 - diva-portal.org
This report presents a catalogue of global constraints where each constraint is explicitly
described in terms of graph properties and/or automata and/or first order logical formulae …

Recent improvements using constraint integer programming for resource allocation and scheduling

S Heinz, WY Ku, JC Beck - Integration of AI and OR Techniques in …, 2013 - Springer
Recently, we compared the performance of mixed-integer programming (MIP), constraint
programming (CP), and constraint integer programming (CIP) to a state-of-the-art logic …