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Combinatorial Properties of Machine Shop Scheduling: July 1, 1959 (Classic Reprint) - Hardcover

Jack Heller

 
9780656023189: Combinatorial Properties of Machine Shop Scheduling: July 1, 1959 (Classic Reprint)

Synopsis

Explore the combinatorial properties of deterministic machine shop scheduling and learn how idle and schedule times are determined.

This book examines how a finite set of jobs moves through a set of machines under precise rules. It presents explicit expressions for idle and schedule times and shows how these depend on processing times and the order of processing. The text also discusses how many different schedules and schedule times can arise, including estimates that depend on processing times and on pure combinatorics. A key focus is on generating consistent schedules and on methods that help identify “best” schedules using numerical criteria.

  • Understand how the schedule time and idle time are defined and calculated
  • See how orderings on machines and jobs shape feasible schedules and their properties
  • Learn approaches to generate and evaluate consistent schedules
  • Explore the role of sampling techniques in selecting high‑quality schedules
Ideal for readers working in operations research, industrial engineering, or computer science who want a rigorous, math‑driven view of machine shop scheduling and its practical implications.

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