A theoretical and application-oriented analysis of deterministic scheduling problems arising in computer and manufacturing environments. The important classical results are surveyed with particular attention paid to single-processor scheduling, along with general models such as resource-constrained scheduling, flexible flow shops, dynamic job shops, and special flexible manufacturing systems. Polynomial and exponential-time optimization algorithms as well as approximation and heuristic ones are presented using a Pascal-like notation, before being discussed in the light of particular problems. Basic concepts from scheduling theory and related fields are described to assist less advanced readers.
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1 Introduction.- References.- 2 Preliminaries.- 2.1 Sets and Relations.- 2.2 Problems, Algorithms, Complexity.- 2.2.1 Problems and their Encoding.- 2.2.2 Algorithms.- 2.2.3 Complexity.- 2.3 Graphs and Networks.- 2.3.1 Basic Notions.- 2.3.2 Special Classes of Digraphs.- 2.3.3 Networks.- 2.4 Enumerative Methods.- 2.4.1 Dynamic Programming.- 2.4.2 Branch and Bound.- 2.5 Heuristic and Approximation Algorithms.- References.- 3 Formulation of Scheduling Problems.- 3.1 Definition of Scheduling Problems.- 3.2 Analysis of Scheduling Problems and Algorithms.- 3.3 Motivations for Deterministic Scheduling Problems.- 3.4 Classification of Deterministic Scheduling Problems.- References.- 4 Single Processor Scheduling.- 4.1 Minimizing Schedule Length.- 4.1.1 Scheduling with Release Times and Deadlines.- 4.1.2 Scheduling with Release Times and Delivery Times.- 4.2 Minimizing Mean Weighted Flow Time.- 4.3 Minimizing Due Date Involving Criteria.- 4.3.1 Maximum Lateness.- 4.3.2 Number of Tardy Tasks.- 4.3.3 Tardiness Problems.- 4.3.4 Earliness and Lateness Problems.- 4.4 Minimizing Change-Over Cost.- 4.4.1 Setup Scheduling.- 4.4.2 Lot Size Scheduling.- 4.5 Other Criteria.- 4.5.1 Minimizing Maximum Cost.- 4.5.2 Minimizing Mean Cost.- References.- 5 Parallel Processor Scheduling.- 5.1 Minimizing Schedule Length.- 5.1.1 Identical Processors.- 5.1.2 Uniform and Unrelated Processors.- 5.2 Minimizing Mean Row Time.- 5.2.1 Identical Processors.- 5.2.2 Uniform and Unrelated Processors.- 5.3 Minimizing Due Date Involving Criteria.- 5.3.1 Identical Processors.- 5.3.2 Uniform and Unrelated Processors.- 5.4 Other Models.- 5.4.1 Semi-Identical Processors.- 5.4.2 Scheduling Multiprocessor Tasks.- References.- 6 Static Shop Scheduling.- 6.1 Flow Shop Scheduling.- 6.2 Open Shop Scheduling.- 6.3 Job Shop Scheduling.- 6.3.1 Basic Ideas.- 6.3.2 Branch and Bound Algorithm.- 6.3.3 Simulated Annealing.- 6.3.4 Computational Results.- References.- 7 Resource Constrained Scheduling.- 7.1 Classical Model.- 7.2 Scheduling Multiprocessor Tasks.- 7.3 Scheduling with Continuous Resources.- 7.3.1 Introductory Remarks.- 7.3.2 Processing Speed vs. Resource Amount Model.- 7.3.3 Processing Time vs. Resource Amount Model.- 7.3.4 Ready Time vs. Resource Amount Model.- References.- 8 Scheduling in Flexible Manufacturing Systems.- 8.1 Introductory Remarks.- 8.2 Scheduling Flexible Flow Shops.- 8.2.1 Problem Formulation.- 8.2.2 Heuristics and their Performance.- 8.2.3 Branch and Bound Algorithm.- 8.3 Scheduling Dynamic Job Shops.- 8.3.1 Introductory Remarks.- 8.3.2 Heuristic Algorithm for the Static Problem.- 8.3.3 Computational Experiments.- 8.4 Simultaneous Scheduling and Routing in some FMS.- 8.4.1 Problem Formulation.- 8.4.2 Vehicle Scheduling for a Fixed Production Schedule.- 8.4.3 Simultaneous Job and Vehicle Scheduling.- References.- 9 From Theory to Practice.- 9.1 Scheduling in Computer Integrated Manufacturing.- 9.2 Solution Approaches Based on Artificial Intelligence.- 9.2.1 Interactive Scheduling.- 9.2.2 Knowledge-Based Systems.- 9.3 Integration of Knowledge and Algorithms.- 9.3.1 Intelligent Production Scheduling.- 9.3.2 Integrated Problem Solving.- References.
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