Extent: | Online-Ressource v.: digital |
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Series: | |
Type of publication: | Book / Working Paper |
Language: | English |
Notes: | Includes bibliographical references and index Preface; Contents; 1 History and Philosophy of Goal Programming; 1.1 Terminology; 1.2 Underlying Philosophies; 1.2.1 Satisficing; 1.2.2 Optimising; 1.2.3 Ordering or Ranking; 1.2.4 Balancing; 2 Goal Programming Variants; 2.1 Generic Goal Programme; 2.2 Distance Metric Based Variants; 2.2.1 Lexicographic Goal Programming; 2.2.2 Weighted Goal Programming; 2.2.3 Chebyshev Goal Programming; 2.3 Decision Variable and Goal-Based Variants; 2.3.1 Fuzzy Goal Programming; 2.3.2 Integer and Binary Goal Programming; 2.3.3 Fractional Goal Programming; 3 Formulating Goal Programmes 3.1 Formulating Goals and Setting Target Levels3.1.1 Example; 3.1.2 Resumption of Example; 3.2 Variant Choice; 3.3 Lexicographic Variant; 3.3.1 Good Modelling Practice for the Lexicographic Variant; 3.4 Weighted Variant; 3.5 Normalisation; 3.5.1 Percentage Normalisation; 3.5.2 Zero--One Normalisation; 3.5.3 Euclidean Normalisation; 3.6 Preferential Weight Choice; 3.7 Chebyshev Variant; 3.8 Summary Ten Rules for Avoiding Pitfalls in Goal Programming Formulations; 3.9 Exercises; Example 1Conversion from Linear to Goal Programming; Example 2 -- On-line Retailer Example 3Production PlanningExample 4 -- Employee Scheduling; Example 5 -- Diet Planning; Example 6 -- Travelling Salesperson; Example 7 -- Downstream Oil Industry; Example 8 -- Macro Economics; Example 9 -- Budget Planning; Example 10 -- Healthcare Planning; 4 Advanced Topics in Goal Programming Formulation; 4.1 Axioms; 4.2 Non-standard Preference Function Modelling; Type 1: Increase in Per Unit Penalty (Penalty Function); Type 2: Decrease in Per Unit Penalty (Reverse Penalty Function); Type 3: Single Increase in Penalty (Discontinuity in Preference); Type 4: Non-linearity; Model Growth Objective Bounds4.2.1 Interval Goal Programming; 4.2.2 Other Paradigms for Modelling Non-standard Preferences; 4.3 Extended Lexicographic Goal Programming; 4.4 Meta-goal Programming; Example; 4.5 Weight Space Analysis; 4.6 Exercises; 5 Solving and Analysing Goal Programming Models; 5.1 Computerised Solution of Weighted Goal Programming Example; 5.1.1 Solution via Excel Solver; 5.1.2 Solution via LINGO; 5.2 Computerised Solution of Chebyshev Goal Programming Example; 5.2.1 Solution via Excel Solver; 5.2.2 Solution via LINGO; 5.3 Computerised Solution of Lexicographic Goal Programming Examples 5.3.1 Theory of Solving Lexicographic Goal Programmes5.3.2 Solution via Excel Solver; 5.3.3 Solution via LINGO; 5.4 Solution of Other Goal Programming Variants; 5.4.1 Fuzzy Goal Programmes; 5.4.2 Integer and Binary Goal Programmes; 5.4.3 Non-linear Goal Programmes; 5.4.4 Meta and Extended Lexicographic Goal Programmes; 5.5 Analysis of Goal Programming Results; 5.6 Specialist Goal Programming Packages Past and Future; 5.7 Exercises; 6 Detection and Restoration of Pareto Inefficiency; 6.1 Pareto Definitions; 6.2 Pareto Inefficiency Detection 6.2.1 Continuous Weighted and Lexicographic Variants Electronic reproduction; Available via World Wide Web |
ISBN: | 978-1-4419-5771-9 ; 978-1-4419-5770-2 |
Other identifiers: | 10.1007/978-1-4419-5771-9 [DOI] |
Classification: | Angewandte Mathematik |
Source: | ECONIS - Online Catalogue of the ZBW |
Persistent link: https://ebvufind01.dmz1.zbw.eu/10014275127