Global Journal of Pure and Applied Mathematics.
ISSN 0973-1768 Volume 13, Number 6 (2017), pp. 1935-1946
© Research India Publications
http://www.ripublication.com
Two-Machine Fuzzy Flow Shop Scheduling Using
Black Hole Algorithm
Kawal Jeet
Department of Computer Science
D.A.V. College, Jalandhar, Punjab, India.
Sameer Sharma
*
Department of Mathematics
D.A.V. College, Jalandhar, Punjab, India.
*
Corresponding Author
Kewal Krishan Nailwal
Department of Mathematics,
Apee Jay College of Fine Arts, Jalandhar, Punjab, India.
Abstract
Flow shop scheduling of jobs has always been a popular problem that has
found solutions in the number of heuristic and meta-heuristic techniques. In
this manuscript, two-machine flow shop scheduling problem has been
investigated while optimizing makespan and idle time of machines.
Uncertainties in the processing time and set up times of jobs involved are also
taken into consideration in the form of fuzzy values. The multi-objective
Black hole algorithm has been used to optimize scheduling of jobs on two
machines taking into consideration the fuzziness in the environment involved.
The resulting values of makespan and idle time of machines as well as
transporting agents are compared to existing heuristic approach as well as
other metaheuristic approaches such as Genetic Algorithm, Particle Swarm
Optimization and NSGA-II algorithm. It is empirically evaluated that Black
Hole algorithms based approach performs better than existing heuristic and
meta-heuristic approaches for the problem under consideration.
Keywords: Idle Time; Makespan; Nature-Inspired Optimization.