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内容简介:
prehensive text explores the mathematical models underlying the theory of scheduling. Organized according to scheduling problem type, it examines three solution techniques: algebraic, probabilistic, and Monte Carlo simulation by computer.
Topics include problems of sequence, measures for schedule evaluation, finite sequencing for a single machine, and further problems with one operation per job. Additional chapters cover flow-shop scheduling, the general n/m job-shop problem, general network problems related to scheduling, selection disciplines in a single-server queuing system, single-server queuing systems with setup classes, multiple-server queuing models, and experimental investigation of the continu-ous job-shop process.
An extensive bibliography is followed by helpful appendixes with information on the Laplace-Stieltjes transform of a distribution function and experimental results with the n/m job-shop problem and with the continuous-process job-shop problem.
书籍目录:
Chapter 1 Problems of Sequence
1-1 Questions of "pure" sequence
1-2 The job-shop process
1-3 A classification of scheduling problems
Chapter 2 Measures for Schedule Evaluation
2-1 Variables that define a scheduling problem
2-2 Variables that describe the solution to a scheduling problem
2-3 Performance measures for the shop
2-4 The relationship between flow-time and inventory
2-5 Costs associated with scheduling decisions
Chapter 3 Finite Sequencing for a Single Machine
3-1 Permutation schedules
3-2 Sequencing according to processing-time
3-3 Sequencing according to due-date
3-4 Random sequencing
3-5 Properties of antithetical rules
3-6 SPT sequencing with incomplete information
3-7 Sequencing against weighted measures of performance
3-8 Sequencing with multiple classes
Chapter 4 Further Problems with One Operation per Job
4-1 Sequence-dependent setup-times
4-1 1 A "branch-and-bound" algorithm for the traveling-salesman problem
4-1 2 Solution of the traveling-salesman problem by dynamic program-ming
4-1 3 The "closest-unvisited-city" algorithm for the traveling-salesman problem
4-2 Intermittent job arrivals
4-3 Required precedence among jobs
4-3.1 Required strings of jobs
4-3.2 General precedence constraints
4-4 Parallel machines
Chapter 5 Flow-Shop Scheduling
5-1 Permutation schedules
5-2 Minimizing maximum flow-time in a two-machine flow-shop
5-3 Minimizing mean flow-time in a two-machine flow-shop
5-4 The three-machine flow shop
5-5 Sequencing in large flow-shops
Chapter 6 The General n/m Job-Shop Problem
6-1 A graphical description of the problem
6-2 The two-machine job-shop problem
6-3 The two-job job-shop problem
6-4 Integer programming formulation of the job-shop problem
6-5 Types of schedules
6-6 Generation of schedules
6-7 Branch-and-bound approach to the job-shop problem
6-8 Examples of schedule generation
6-9 Probabilistic dispatching
6-10 Heuristic procedures
Chapter 7 General Network Problems Related to Scheduling
7-1 Critical route analysis
7-2 Shortest route determination
7-3 Assembly-line balancing problems
Chapter 8 Selection Disciplines in a Single-Server Queuing System
8-1 Queues with Poisson arrivals
8-2 System states
8-3 The busy period of a queue with Poisson arrivals '
8-4 The distribution of flow-time under the first-come, first-served discipline
8-5 Selection disciplines that are independent of processing-times
8-5.1 Distribution of number of jobs in the system
8-5.2 The last-come, first-served discipline
8-5.3 The random rule
8-6 Nonpreemptive priority and shortest-processing-time disciplines
8-6.1 Nonpreemptive priority disciplines
8-6.2 The shortest-processing-time discipline
8-6.3 Multiple-level nonpreemptive-priority disciplines
8-7 Preemptive priority disciplines
8-7.1 Preemptive-resume and preemptive-repeat disciplines
8-7.2 Semi-preemptive priority and shortest-remaining-processing-time disciplines
8-8 The due-date rule and related disciplines
8-9 The effect of processing-time-dependent disciplines on flow-time
8-10 Historical notes
Chapter 9 Single-Server Queuing Systems with Setup Classes
Chapter 10 Multiple-Server Queuing Models
Chapter 11 Experimental Investigation of the Continuous Job-Shop Process
Bibliography
Appendix A The Laplace-Stieltjes Transform of a Distribution Function
Appendix B Experimental Results:n/m Job-Shop Problem
Appendix C Experimental Results:Continuous-Process Job-Shop Problem
Index
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书籍介绍
This comprehensive text explores the mathematical models underlying the theory of scheduling. Organized according to scheduling problem type, it examines 3 solution techniques: algebraic, probabilistic, and Monte Carlo simulation by computer. Topics include problems of sequence, measures for schedule evaluation, finite sequencing for a single machine, much more. 1967 edition.
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