JobShopScheduling
JobShopScheduling, commonly known as the Job Shop Scheduling Problem (JSSP), is a foundational optimization problem in operations research and combinatorial optimization. It models a manufacturing setting where a set of jobs must be processed on a set of machines, with each job comprising a fixed sequence of operations, each assigned to a specific machine and with a known processing time. A machine can handle at most one operation at a time, and operations within a job must follow their prescribed order.
The typical objective is to minimize the makespan, the time by which all jobs complete. Other common
JSSP is NP-hard in the strong sense for instances with three or more machines and jobs. Several
Solution methods combine exact approaches—MILP, constraint programming, and branch-and-bound—with heuristics and metaheuristics such as priority dispatch
Applications appear in manufacturing and assembly settings where machine capacity and job precedence drive throughput, lead