The use of a fuzzy multi-objective linear programming for solving a multi-objective single-machine scheduling problem

A hybrid solution method for fuzzy train formation planning

“…A fuzzy numberã is a convex normalized fuzzy set of the real line R whose membership function is piecewise continuous [29][30][31][32]. Eq.…”

Solving a single-machine scheduling problem with maintenance, job deterioration and learning effect by simulated annealing

“…Their computational results showed that the performance of their heuristic algorithms proposed by Voutsinas and Pappis [16] decreases when the problem size increases. Tavakkoli-Moghaddam et al [18] presented a fuzzy multi-objective linear programming (FMOLP) model for solving a multiobjective single-machine scheduling problem that minimize the total weighted tardiness and makespan simultaneously. TavakkoliMoghaddam et al [19] proposed branch-and-bound (B&B) method to find the optimal sequence of a set of jobs for a single-machine scheduling problem with idle insert, in which the objective function is to minimize the sum of maximum earliness and tardiness.…”

Bicriteria scheduling problem for unrelated parallel machines with release dates

“…The problem is NP-hard in the strong sense, since the task of minimizing TWT on a single machine (1jj P w j T j ) is already NP-hard in the strong sense [22]. Only a few articles have considered single machine bicriteria scheduling problems with release dates [20,[32][33][34][35]44]. Most of them developed heuristics to tackle the studied problem.…”