⎯In this paper, we consider the single machine earliness/tardiness scheduling problem with different release dates and no unforced idle time. The most effective lower bound uses multiplier adjustment procedures that require an initial sequence. We investigate the sensitivity of the lower bounding procedure to the initial sequences, and experiment with different scheduling rules and dominance co...

This paper presents the optimal sequence of a set of jobs for a single machine with idle insert, in which the objective function is to minimize the sum of maximum earliness and tardiness (n/1/I/ETmax). Since this problem tries to minimize and diminish the values of earliness and tardiness, the results can be useful for different production systems such as just in time (JIT). Special case of det...

For the purpose of solving the flexible job-shop scheduling problem (FJSP), an improved quantum genetic algorithm based on earliness/tardiness penalty coefficient is proposed in this paper. For minimizing the completion time and the job-shop cost, a simulation model was established firstly. Next, according to the characteristics of the due in production, a double penalty coefficient was designe...

This paper addresses a one-machine scheduling problem in which the efficiency of the machine is not constant, that is the duration of a task is longer in badly efficient time periods. Each task has an irregular completion cost. Under the assumption that the efficiency constraints are time-periodic, we show that the special case where the sequence is fixed can be solved in polynomial time. The g...

We study the scheduling situation in which a set of jobs subjected to release dates and deadlines are to be performed on a single machine. The objective is to minimize a piecewise linear objective function ∑ j Fj where Fj(Cj) corresponds to the cost of the completion of job j at time Cj . This class of function is very large and thus interesting both from a theoretical and practical point of vi...

This paper considers Just-In-Time Job-Shop Scheduling, in which each activity has an earliness and a tardiness cost with respect to a due date. It proposes a constraint programming approach, which includes a novel filtering algorithm and dedicated heuristics. The filtering algorithm uses a machine relaxation to produce a lower bound that can be obtained by solving a Just-In-Time Pert problem. I...

The problem of determining a schedule of jobs with unit time lengths on a single machine that minimizes the total weighted earliness and tardiness penalties with respect to arbitrary rational due dates is formulated as an integer programming problem We show that if the penalties meet a certain criterion called the Dominance Condition then there exists an extremal optimal solution to the LP rela...

In this paper, we consider the single machine earliness/tardiness scheduling problem with di/erent release dates and no unforced idle time. The problem is decomposed into weighted earliness and weighted tardiness subproblems. Lower bounding procedures are proposed for each of these subproblems, and the lower bound for the original problem is the sum of the lower bounds for the two subproblems. ...

A new meta-heuristic for scheduling multiple jobs on a single machine so that they are completed by a common specified date (neither earlier, nor later) is addressed in this paper. Costs are set depending on whether a job finished before (earliness), or after (tardiness) the specified due date. The objective is to minimize the total weighted earliness and tardiness penalized costs from the spec...

We consider a common due-window assignment scheduling problem jobs with variable job processing times on a single machine, where the processing time of a job is a function of its position in a sequence (i.e., learning effect) or its starting time (i.e., deteriorating effect). The problem is to determine the optimal due-windows, and the processing sequence simultaneously to minimize a cost funct...