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Simple assembly line balancing problem

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

A simple assembly line balancing problem concerns producing one product on a serial line with one-sided workstations.

A simple assembly line balancing problem (SALBP) assigns tasks to one-sided workstations on a serial line producing one product. Given task times, precedence constraints, cycle time, and a workstation limit, the usual goal is minimizing the required workstations. section 6.6

A feasible assignment must:

  • Assign every task to exactly one workstation. section 6.6
  • Respect the precedence order between tasks. section 6.6
  • Keep each workstation’s workload within cycle time C. section 6.6

Tabu-search solution

A tabu-search implementation loads task durations and precedence data, sets cycle time to 4, and searches for an improved assignment. One reported sequence uses five workstations with workloads [3, 3, 3, 3, 3].

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

How deep it goes
Defines tasks, durations, cycle time, stations, and precedence, then demonstrates tabu-search implementation and benchmarking.
Examples
Uses a bike assembly line, precedence diagrams, Python data files, and reported workstation workloads.
What it assumes
Assumes task durations and precedence data while defining cycle time, workstation assignment, and feasibility constraints.
What you can do after
Apply it via tabu search to assign tasks, evaluate workstation workloads, and calculate smoothing index values.
How it connects
Connects assembly line balancing with tabu search, precedence constraints, cycle time, workstations, and generalized assembly line balancing.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Optimization Algorithms: AI techniques for design, planning, and control problems. The section links point to the parts of the book it draws on.