Description
Book Synopsis
Scheduling theory is an important branch of operations research. Many different models, the large number of new results make it difficult for the researchers who work in related fields to follow the fast development of scheduling theory and to master new methods and approaches quickly.
Trade Review
` These two volumes dedicated to the theory and complexity of scheduling problems are a valuable source of information to researchers and graduate students of operations research, management, and computer sciences. Readers with particular interests in production planning and flexible manufacturing are very well served by this fine set.
' Journal of Global Optimization, 7, 1995Table of Contents
Preface. Introduction. 1: Elements of Graph Theory and Computational Complexity of Algorithms. 1. Sets, Orders, Graphs. 2. Balanced 2-3-Trees. 3. Polynomial Reducibility of Discrete Problems. Complexity of Algorithms. 4. Bibliography and Review. 2: Polynomially Solvable Problems. 1. Preemption. 2. Deadline-Feasible Schedules. 3. Single Machine. Maximal Cost. 4. Single Machine. Total Cost. 5. Identical Machines. Maximal Completion Time. Equal Processing Times. 6. Identical Machines. Maximal Completion Time. Preemption. 7. Identical Machines. Due Dates. Equal Processing Times. 8. Identical Machines. Maximal Lateness. 9. Uniform and Unrelated Parallel Machines. Total and Maximal Cost. 10. Bibliography and Review. 3: Priority-Generating Functions. Ordered Sets of Jobs. 1. Priority-Generating Functions. 2. Elimination Conditions. 3. Tree-like Order. 4. Series-Parallel Order. 5. General Case. 6. Convergence Conditions. 7. 1-Priority-Generating Functions. 8. Bibliography and Review. 4: NP-Hard Problems. 1. Reducibility of the Partition Problem. 2. Reducibility of the 3-Partition Problem. 3. Reducibility of the Vertex Covering Problem. 4. Reducibility of the Clique Problem. 5. Reducibility of the Linear Arrangement Problem. 6. Bibliographic Notes. Appendix. Approximation Algorithms. References. Additional References. Index.
