Approximating total flow time on parallel machines

Fuzzy Programming for Parallel Machines Scheduling: Minimizing Weighted Tardiness/Earliness and Flow Time through Genetic Algorithm

Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. One type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical model for...

Makespan Minimization on Identical Parallel Machines Subject to Minimum Total Flow-time

We consider the problem of scheduling n jobs on m identical parallel machines. An optimal schedule to the proposed problem is defined as one that gives the smallest makespan (the completion time of the last job on any one of the parallel machines) among the set of all schedules with optimal total flowtime (the sum of the completion times of all jobs). We propose two new simple heuristic algorit...

Approximating Real-Time Scheduling on Identical Machines

We study the problem of assigning n tasks to m identical parallel machines in the real-time scheduling setting, where each task recurrently releases jobs that must be completed by their deadlines. The goal is to find a partition of the task set over the machines such that each job that is released by a task can meet its deadline. Since this problem is co-NP-hard, the focus is on finding α-appro...

Scheduling Identical Parallel Machines to Minimize Total Weighted Completion Time

fuzzy programming for parallel machines scheduling: minimizing weighted tardiness/earliness and flow time through genetic algorithm

appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. one type of scheduling problems is just-in-time (jit) scheduling and in this area, motivated by jit manufacturing, this study investigates a mathematical model for...