Two scheduling problems with fuzzy due-dates
Fuzzy Sets and Systems - Special issue on industrial engineering methods
Fuzzy system reliability analysis by interval of confidence
Fuzzy Sets and Systems
Genetic algorithms and neighborhood search algorithms for fuzzy flowshop scheduling problems
Fuzzy Sets and Systems - Special issue on operations research
LPT scheduling for fuzzy tasks
Fuzzy Sets and Systems
Chance constrained programming with fuzzy parameters
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Fuzzy scheduling of job orders in a two-stage flowshop with batch-processing machines
International Journal of Approximate Reasoning
Advances in Engineering Software
Bi-objective supply chain planning in a fuzzy environment
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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This paper studies a ready time scheduling problem with fuzzy job processing times. Firstly, we assume that the fuzzy processing time can be represented by a triangular fuzzy number. Then we apply the technique of chance constrained programming to construct a job completion likelihood profile from the job membership functions so that the likelihood of completing the queued jobs has a crisp mathematical representation. Some properties of the likelihood profile are subsequently discussed. Utilizing the fuzzy extension principle and the concept of job completion likelihood profile, the ready time scheduling model that maximizes the common ready time with crisp processing times is extended to one with fuzzy processing times. Optimal solutions for the scheduling model under several special conditions are developed, and a necessary condition that the optimal solution must satisfy when the jobs have different due dates and confidence levels is also established.