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Complexity analysis of task assignment problems and vehicle scheduling problems.

by Chi-lok Chan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Scheduling Problems of Chain-like Task System --- p.4 / Chapter 2.1 --- Introduction --- p.4 / Chapter 2.2 --- Problem Assumptions and Notations Definition --- p.7 / Chapter 2.3 --- Related Works --- p.9 / Chapter 2.3.1 --- Bokhari's Algorithm --- p.10 / Chapter 2.3.2 --- Sheu and Chiang's Algorithm --- p.12 / Chapter 2.3.3 --- Hsu's Algorithm --- p.12 / Chapter 2.4 --- Decision Algorithms for Un-mergeable Task System --- p.18 / Chapter 2.4.1 --- Feasible Length-K Schedule --- p.18 / Chapter 2.4.2 --- Generalized Decision Test --- p.23 / Chapter 2.5 --- Dominated and Non-dominated Task Systems --- p.26 / Chapter 2.5.1 --- Algorithm for Dominated Task System --- p.26 / Chapter 2.5.2 --- Property of Non-dominated Task System --- p.27 / Chapter 2.6 --- A Searching-Based Algorithm for the Optimization Problem --- p.28 / Chapter 2.6.1 --- Algorithm --- p.29 / Chapter 2.6.2 --- Complexity Analysis --- p.31 / Chapter 2.7 --- A Searching Algorithm Based on a Sorted Matrix --- p.33 / Chapter 2.7.1 --- Sorted Matrix --- p.33 / Chapter 2.7.2 --- Algorithm for the Optimization Problem --- p.35 / Chapter 2.7.3 --- Complexity Analysis --- p.40 / Chapter 2.8 --- A Constructive Algorithm for the Optimization Problem --- p.43 / Chapter 2.9 --- A Modified Constructive Algorithm --- p.46 / Chapter 2.9.1 --- Algorithm --- p.46 / Chapter 2.9.2 --- Worst-Case Analysis --- p.50 / Chapter 2.9.3 --- Sufficient Condition for Efficient Algorithm H --- p.58 / Chapter 2.9.4 --- Average-Case Analysis --- p.62 / Chapter 2.10 --- Performance Evaluation --- p.65 / Chapter 2.10.1 --- Optimal Schedule --- p.65 / Chapter 2.10.2 --- Space Complexity Analysis --- p.67 / Chapter 2.10.3 --- Time Complexity Analysis --- p.68 / Chapter 2.10.4 --- Simulation of Algorithm F and Algorithm H --- p.70 / Chapter 2.11 --- Conclusion --- p.74 / Chapter 3 --- Vehicle Scheduling Problems with Time Window Constraints --- p.77 / Chapter 3.1 --- Introduction --- p.77 / Chapter 3.2 --- Problem Formulation and Notations --- p.79 / Chapter 3.3 --- NP-hardness of VSP-WINDOW-SLP --- p.83 / Chapter 3.3.1 --- A Transformation from PARTITION --- p.83 / Chapter 3.3.2 --- Intuitive Idea of the Reduction --- p.85 / Chapter 3.3.3 --- NP-completeness Proof --- p.87 / Chapter 3.4 --- Polynomial Time Algorithm for the VSP-WINDOW on a Straight Line with Common Ready Time --- p.98 / Chapter 3.5 --- Strong NP-hardness of VSP-WINDOW-TREEP --- p.106 / Chapter 3.5.1 --- A Transformation from 3-PARTITION --- p.107 / Chapter 3.5.2 --- NP-completeness Proof --- p.107 / Chapter 3.6 --- Conclusion --- p.111 / Chapter 4 --- Conclusion --- p.115 / Bibliography --- p.119

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_318122
Date January 1994
ContributorsChan, Chi-lok., Chinese University of Hong Kong Graduate School. Division of Computer Science.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText
Formatprint, x, 117 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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