A stochastic branch{and{bound technique for the solution of stochastic single{machine tardiness problems with job weights is presented. The technique relies on partitioning the solution space and estimating lower and upper bounds by sampling. For the lower bound estimation, two diierent types of sampling (\within" and \without" the minimization) are combined. Convergence to the optimal solution...

Single machine scheduling problems with earliness and tardiness penalty are well known, but in the case of sequence dependent, the problem is more difficult and there are few researches around it. In related researches, setup time matrix was defined as a deterministic matrix. In this paper sequence dependent single machine scheduling with earliness tardiness penalty considerations using fuzzy s...

Stochastic dynamic job shop scheduling problem with consideration of sequence-dependent setup times are among the most difficult classes of scheduling problems. This paper assesses the performance of nine dispatching rules in such shop from makespan, mean flow time, maximum flow time, mean tardiness, maximum tardiness, number of tardy jobs, total setups and mean setup time performance measures ...

This paper proposes an application of probabilistic technique, namely Gaussian process regression, for estimating an optimal sequence of the single machine with total weighted tardiness (SMTWT) scheduling problem. In this work, the Gaussian process regression (GPR) model is utilized to predict an optimal sequence of the SMTWT problem, and its solution is improved by using an iterated local sear...

A partial order on a job set is called consistent, if it has a linear extension which is an optimal solution to the total tardiness problem of the job set. The concept of proper augmentations of consistent partial orders is based on Emmons’ well-known dominance theorem. In this paper, we address the question of whether the proper augmentation of a consistent partial order always results in a pa...

We consider a nonpreemptive single-machine scheduling problem to minimize mean squared deviation of job completion times about a common due date with maximum tardiness constraint (MSD/Tmax problem), where the common due date is large enough so that it does not constrain the minimization of MSD. The MSD/Tmax problem is classi®ed into three cases according to the value of maximum allowable tardin...

In this paper we address a hybrid flow shop scheduling problem considering the minimization of the sum of the total earliness and tardiness penalties. This problem is proven to be NP-hard, and consequently the development of heuristic and meta-heuristic approaches to solve it is well justified. So, we propose an ant colony optimization method to deal with this problem. Our proposed method has s...

Many scheduling systems assume a static environment within which a schedule will be executed. The real world is not so stable: machines break down, operations take longer to execute than expected, and orders may be added or canceled. One approach to dealing with such disruptions is to generate robust schedules: schedules that are able to absorb some level of unexpected events without rescheduli...

In this paper, a new real-time disk scheduling algorithm called BFI (best-fit-insertion) is proposed. Notably, different from the conventional realtime problem, the service time of a disk request depends on its schedule result. As the service time is not a constant value, it is time-consuming to verify the feasibility of a schedule. In this paper, we introduce a temporal parameter called maximu...

This study addresses a class of single-machine scheduling problems involving a common due date where the objective is to minimize the total job earliness and tardiness penalties. A genetic algorithm (GA) approach and a simulated annealing (SA) approach utilizing a greedy local search and three well-known properties in the area of common due date scheduling are developed. The developed algorithm...