SpringerBriefs in Optimization

Solving Non-standard Packing Problems by Global Optimization and Heuristics

Authors: Fasano, Giorgio

  • Focused on a modeling-based philosophy¬†as opposed to a pure algorithmic one
  • Stresses an overall heuristic procedure
  • Novel material relating to both experimental and formulation aspects of the non-standard packing problems are presented
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About this book

This book results from a long-term research effort aimed at tackling complex non-standard packing issues which arise in space engineering. The main research objective is to optimize cargo loading and arrangement, in compliance with a set of stringent rules. Complicated geometrical aspects are also taken into account, in addition to balancing conditions based on attitude control specifications.

Chapter 1 introduces the class of non-standard packing problems studied. Chapter 2 gives a detailed explanation of a general model for the orthogonal packing of tetris-like items in a convex domain. A number of additional conditions are looked at in depth, including the prefixed orientation of subsets of items, the presence of unusable holes, separation planes and structural elements, relative distance bounds as well as static and dynamic balancing requirements. The relative feasibility sub-problem which is a special case that does not have an optimization criterion is discussed in Chapter 3. This setting can be exploited by introducing an ad hoc objective function, aimed at facilitating the finding of integer-feasible solutions. The third chapter also discusses the issue of tightening the general MIP model by introducing valid inequalities. A MIP-based heuristic approach is developed in Chapter 4, where the basic concept of abstract configuration is presented. Chapter 5 is devoted to experimental results relevant to a real-world application framework. Chapter 6 adopts both extensions of the general MIP model and non-linear formulations to tackle two further non-standard packing issues. The final Chapter 7 presents conclusions and provides insights regarding prospective developments (including non-standard scheduling aspects).

Practitioners and researchers interested in advanced optimization model development and solution in the context of logistics, transportation systems, complex structures, manufacturing and electronics will find this book useful. The book can also be used in graduate courses on nonlinear - including global and mixed integer - optimization, as a valuable collection of practically meaningful object packing applications.

Table of contents (8 chapters)

  • Non-standard Packing Problems: A Modelling-Based Approach

    Fasano, Giorgio

    Pages 1-6

  • Tetris-like Items

    Fasano, Giorgio

    Pages 7-26

  • Model Reformulations and Tightening

    Fasano, Giorgio

    Pages 27-37

  • Heuristic Approaches for Solving the Tetris-like Item Problem in Practice

    Fasano, Giorgio

    Pages 39-57

  • Computational Experience and Real-World Context

    Fasano, Giorgio

    Pages 59-73

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-05005-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-05004-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Solving Non-standard Packing Problems by Global Optimization and Heuristics
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Giorgio Fasano
eBook ISBN
978-3-319-05005-8
DOI
10.1007/978-3-319-05005-8
Softcover ISBN
978-3-319-05004-1
Series ISSN
2190-8354
Edition Number
1
Number of Pages
XIV, 135
Number of Illustrations and Tables
51 illustrations in colour
Topics