README.md

AAH

As part of the assessment of Approximation Algorithms and Heuristics, we are to implement a variable depth search on a scheduling problem.

Problem Description

Schedule n jobs to m identical machines such that:

• Each job has a non negative duration.
• Each job is assgined to a machine.
• The span is the total running time of a machine.
• The makespan is the largest span across all machines.
• The objective is to minimise the makespan.

Neighbourhood

For an instance of the problem where m > 2, we can define a neighbourhood around a valid schedule, S. In this schedule, we will always have a machine, m1, that defines the makespan. Let m2 be another another machine. We will exchange two jobs from m1 and m2. From this pairwise interchange, we will create another feasible solution. The set of all feasible solutions around S is called its neighbourhood.

Command line

Usage: python variable_depth_search.py

Options:
    --number_of_machines    Default=2
    --depth                 For variable depth. Default=5 
    --number_of_tasks       Number of randomly generated tasks. Default=200
    --limit                 Limit the number of neighbours searched. Default=-1

Misc

• You can load a custom list of tasks through the function using the tasks argument.
• The tests are implemented through pytest.