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SD20<br />

2 - Optimal Map Segmentation for Vehicle Routing and Other Resource<br />

Allocation Problems<br />

John Carlsson, Assistant Professor, University of Minnesota,<br />

111 Church Street SE, Department of Mechanical Engineering,<br />

Minneapolis, MN, 55455, United States of America,<br />

jgc@me.umn.edu<br />

Segmenting a given geographic region into pieces is a problem that arises in many<br />

contexts, such as congressional redistricting and vehicle routing. Here we describe<br />

several geometry-based algorithms for partitioning a region into pieces optimally<br />

when the objective is to balance the loads of vehicles in a service region.<br />

3 - Dynamic Vehicle Routing Under Congestion using<br />

Real-time ITS Information<br />

Ratna Babu Chinnam, Associate Professor, Wayne State University,<br />

4815 Fourth St., Detroit, MI, 48202, United States of America,<br />

R_Chinnam@wayne.edu, Alper Murat, Ali R. Guner<br />

Travel time delays and variability, attributable to network congestion, are impacting<br />

the efficiency of JIT logistics operations. We propose a stochastic programming<br />

algorithm for dynamic routing of vehicles in stochastic dynamic networks subject to<br />

recurrent (i.e. rush hour) and non-recurrent (i.e. incident) congestion. We also<br />

propose integration of an incident induced delay model to our algorithm. The<br />

algorithm is tested in a Michigan road network using historical data from the MITS<br />

Center.<br />

4 - Metaheuristics for the Waste Collection VRP with Time Windows<br />

and Multiple Disposal Facilities<br />

John Beasley, Brunel University, Mathematical Sciences, Uxbridge,<br />

UB8 3PH, United Kingdom, John.Beasley@brunel.ac.uk<br />

Vehicles go out from the depot and collect waste from customers, emptying<br />

themselves at the waste disposal sites as and when necessary. A nearest neighbour<br />

approach is used to obtain an initial solution. We improve this solution using an<br />

approach based on neighbour sets. Computational results are presented for problems<br />

involving up to 2100 customers using tabu search, variable neighbourhood search<br />

and variable neighbourhood tabu search.<br />

<strong>ALIO</strong> / INFORMS International – 2010<br />

48<br />

■ SD20<br />

Aula 382- Third Floor<br />

Cutting and Packing 2<br />

Cluster: 7th ESICUP Meeting<br />

Invited Session<br />

Chair: A. Miguel Gomes, Faculdade de Engenharia da Universidade do<br />

Porto, Rua Dr. Roberto Frias, s/n, Porto, 4200-465, Portugal,<br />

agomes@fe.up.pt<br />

1 - Strip Packing: What Can We Learn from Project Scheduling?<br />

Sam D. Allen, University of Nottingham, School of Computer<br />

Science and IT, Jubilee Campus, Nottingham, United Kingdom,<br />

sda@Cs.Nott.AC.UK, Sven Groenemeyer, Edmund K. Burke,<br />

Graham Kendall<br />

In this talk we re-examine the intrinsic similarities between the formulation of the<br />

higher-dimensional strip-packing problem and the resource-constrained project<br />

scheduling problem as highlighted by Hartmann in 2000. We discuss approaches to<br />

both problems and present previous results based on each problem. We will then<br />

conclude with some transformations of heuristics intended for each problem in<br />

order to tackle the alternative problem, and discuss their effectiveness in each<br />

domain.<br />

2 - Geometric Operations Involving Cutting-stock Problem Through<br />

CAD Application<br />

Cliceres Mack Dal Bianco, Universidade Federal de Santa Maria -<br />

UFSM, UFSM Prédio 07 S 305 Centro de Tecnologi, Rua Adriano<br />

Chaves 270, apto 270 - Camob, Santa Maria, 97105010, Brazil,<br />

cliceres@gmail.com, Alexandre Dias Silva<br />

Systems to solve Cutting-stock Problems involve geometric operations such as:<br />

rotation and verifications of overlapping. To eliminate the need of implementing<br />

complex algorithms, this work presents as alternative for the 2D rectangular<br />

guillotine cutting, the development of these operations the use of resources<br />

available in CAD systems. The feasibility of implementing the technique was<br />

demonstrated in AutoCAD, through the utilization of drawing functions in<br />

programs developed in AutoLISP.<br />

3 - Rect-TOPOS: A Constructive Heuristic for the Rectangle Packing<br />

Area Minimization Problem<br />

A. Miguel Gomes, Faculdade de Engenharia da Universidade do<br />

Porto, Rua Dr. Roberto Frias, s/n, Porto, 4200-465, Portugal,<br />

agomes@fe.up.pt, Marisa Oliveira, Eduarda Pinto Ferreira<br />

To solve the rectangle packing area minimization problem we propose a variant of<br />

the TOPOS algorithm. In our adaptation, the layout is build by successively adding a<br />

new rectilinear piece to a partial solution while minimizing the enclosing<br />

rectangular area. Several criteria to choose the next piece and its orientation are<br />

proposed and compared. To evaluate and compare partial solutions different<br />

objective functions were used. Supported by FCT project PTDC/GES/ 72244/2006.<br />

4 - A Tree-search Algorithm for the Two-dimensional Rectangular<br />

Strip Packing Problem<br />

José F. Oliveira, Universidade do Porto, Faculdade de Engenharia /<br />

INESC Porto, Rua Dr. Roberto Frias, Porto, Portugal, jfo@fe.up.pt,<br />

Maria Antónia Carravilla, André Carqueja<br />

In this talk a tree-search algorithm for the two-dimensional rectangular strip<br />

packing problem will be presented. This algorithm is based on a MIP model, where<br />

the binary variables stand for the relative position of the rectangles among each<br />

other. The variables are progressively fixed along the search, while bounds are<br />

produced and updated by the resolution of relaxations of the model. Computational<br />

results obtained with benchmark instances for this class of problems are presented.

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