Within such disciplines as Management Science, Informationand Computer Sciences, Engineering, Mathematics andOperations Research, problems of cutting and packing (C&P)ofconcrete or abstract objects appear under variousspecifications although they have essentially the samelogical structure. This book tries to give a description andcategorization of C&P-problems as a whole, making themcomparable in such a way as to clearly mark theirsimilarities and differences with respect to the underlyingplanning problems. The purpose is to create a basis ofknowledge which presents suggestions for…mehr
Within such disciplines as Management Science, Informationand Computer Sciences, Engineering, Mathematics andOperations Research, problems of cutting and packing (C&P)ofconcrete or abstract objects appear under variousspecifications although they have essentially the samelogical structure. This book tries to give a description andcategorization of C&P-problems as a whole, making themcomparable in such a way as to clearly mark theirsimilarities and differences with respect to the underlyingplanning problems. The purpose is to create a basis ofknowledge which presents suggestions for selection,development and utilization of appropriate solutionapproaches.For this purpose the book- creates a consistent terminology for C&P problems,- developes anappropriate characterization scheme of 34properties, and- typifies more than 300 real C&P-problems published in theGerman and English literature.Moreover, the book contains a collection of nearly 700German and English references on C&P-problems.
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Inhaltsangabe
1 Introduction.- 1.1. Purpose of the Investigation.- 1.2. Methodology Used.- 1.3. Structure of the Book.- 2 Cutting and Packing Problems as Geometric-Combinatoric Problems.- 2.1. Basic Logical Structure.- 2.2. Phenomena of Cutting and Packing.- 2.3. Delimitation in Investigation.- 3 The Treatment of Cutting and Packing Problems in the Literature.- 3.1. Models as Idealized Images of Actual Phenomena.- 3.2. Sources on Cutting and Packing Problems.- 3.3. Delimitation of Investigated Literature.- 4 Systematic Catalogue of Properties for the Characterization of Cutting and Packing Problems.- 4.1. Basis for Characteristic Properties.- 4.2. Design of the Catalogue.- 4.3. Characteristics Based on the Logical Structure.- 4.4. Reality-Based Characteristics.- 4.5. Overview.- 5 Types of Cutting and Packing Problems in the Literature.- 5.1. Principles of Type Definition.- 5.2. Hierarchical Catalogue of Types.- 5.3. Properties of the Derived Problem Types.- 6 Bin Packing Types (BP).- 6.1. One-dimensional Bin Packing Type (BP1).- 6.2. Two-dimensional Bin Packing Types (BP2).- 6.3. Actual Bin Packing Problems.- 7 Cutting Stock Types (CS).- 7.1. One-dimensional Cutting Stock Types (CS1).- 7.2. Two-dimensional Cutting Stock Types (CS2).- 7.3. Three-dimensional Cutting Stock Type (CS3).- 7.4. Actual Cutting Stock Problems.- 8 Knapsack Types (KS).- 8.1. One-dimensional Knapsack Type (KS1).- 8.2. Two-dimensional Knapsack Type (KS2).- 8.3. Three-dimensional Knapsack Type (KS3).- 8.4. Actual Knapsack Problems.- 9 Pallet Loading Types (PL).- 9.1. Two-dimensional Pallet Loading Type (PL2).- 9.2. Three-dimensional Pallet Loading Type (PL3).- 9.3. Actual Pallet Loading Problems.- 10 Conclusions.- I. A Bibliography of Further C&P-Problems.- A. Published Surveys.- B. Literary References not CloselyAnalysed.- C. Most Recent Sources.- II. Brief Description of the Characteristics.- III. LARS Data Base System.- List of Abbreviations for the Journals.- I. General Literature.- II. C&P-Literature.
1 Introduction.- 1.1. Purpose of the Investigation.- 1.2. Methodology Used.- 1.3. Structure of the Book.- 2 Cutting and Packing Problems as Geometric-Combinatoric Problems.- 2.1. Basic Logical Structure.- 2.2. Phenomena of Cutting and Packing.- 2.3. Delimitation in Investigation.- 3 The Treatment of Cutting and Packing Problems in the Literature.- 3.1. Models as Idealized Images of Actual Phenomena.- 3.2. Sources on Cutting and Packing Problems.- 3.3. Delimitation of Investigated Literature.- 4 Systematic Catalogue of Properties for the Characterization of Cutting and Packing Problems.- 4.1. Basis for Characteristic Properties.- 4.2. Design of the Catalogue.- 4.3. Characteristics Based on the Logical Structure.- 4.4. Reality-Based Characteristics.- 4.5. Overview.- 5 Types of Cutting and Packing Problems in the Literature.- 5.1. Principles of Type Definition.- 5.2. Hierarchical Catalogue of Types.- 5.3. Properties of the Derived Problem Types.- 6 Bin Packing Types (BP).- 6.1. One-dimensional Bin Packing Type (BP1).- 6.2. Two-dimensional Bin Packing Types (BP2).- 6.3. Actual Bin Packing Problems.- 7 Cutting Stock Types (CS).- 7.1. One-dimensional Cutting Stock Types (CS1).- 7.2. Two-dimensional Cutting Stock Types (CS2).- 7.3. Three-dimensional Cutting Stock Type (CS3).- 7.4. Actual Cutting Stock Problems.- 8 Knapsack Types (KS).- 8.1. One-dimensional Knapsack Type (KS1).- 8.2. Two-dimensional Knapsack Type (KS2).- 8.3. Three-dimensional Knapsack Type (KS3).- 8.4. Actual Knapsack Problems.- 9 Pallet Loading Types (PL).- 9.1. Two-dimensional Pallet Loading Type (PL2).- 9.2. Three-dimensional Pallet Loading Type (PL3).- 9.3. Actual Pallet Loading Problems.- 10 Conclusions.- I. A Bibliography of Further C&P-Problems.- A. Published Surveys.- B. Literary References not CloselyAnalysed.- C. Most Recent Sources.- II. Brief Description of the Characteristics.- III. LARS Data Base System.- List of Abbreviations for the Journals.- I. General Literature.- II. C&P-Literature.
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