Sequencing and scheduling are fundamental operations research problems involving the allocation of jobs to machines/resources over time to optimize predefined objectives. Sequencing refers to the order in which jobs are processed, while scheduling specifies the exact timing (start and completion times) of each job. The theory encompasses various problem structures (single machine, parallel machines, flow shops, job shops) with different objective functions (minimize makespan, total flow time, lateness, or weighted combinations) subject to precedence and resource constraints. Table of Contents: • Core definitions: sequencing (job order) versus scheduling (timing allocation) • Problem elements: jobs, machines/resources, processing times, constraints • Job shop versus flow shop versus single machine settings • Objective functions: makespan, total completion time, maximum lateness, etc. • Precedence constraints and their impact on feasibility • Processing time determinism and stochastic considerations • Service level/priority weighting in objective formulation • Feasibility conditions and constraint satisfiability • Performance metrics and their relationships • Optimal versus approximate solution approaches • Computational complexity and problem tractability
Sequencing and scheduling are fundamental operations research problems involving the allocation of jobs to machines/resources over time to optimize predefined objectives. Sequencing refers to the ord…