We study the problem of scheduling unit-length interval-ordered tasks subject to unit-length communication delays with the objective of minimising the maximum tardiness. Without communication delays, this problem can be solved by a generalisation of an algorithm presented by Garey and Johnson. In this paper, an algorithm is presented that considers unit-length communication delays and construct...

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...

Even though a very large number of solution methods has been developed for the jobshop scheduling problem, the majority are designed for the makespan criterion. In this paper, we propose a general approach for optimizing any regular criterion in the job-shop scheduling problem. The approach is a local search method that uses a disjunctive graph model and neighborhoods generated by swapping crit...

We present a solution methodology to obtain near-optimal solutions for the problem of scheduling multiple products on a network of single-stage, unrelated parallel units using simulated annealing (SA) with a performance criterion based on tardiness minimization. The approach incorporates sequence dependent clean-up times, varying processing rates for different products on different units, and c...

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...

0377-2217/$ see front matter 2011 Elsevier B.V. A doi:10.1016/j.ejor.2011.10.020 ⇑ Corresponding author. Tel.: +43 732 2468 9466. E-mail address: [email protected] (R. Braune). In this paper, we propose an exact solution method for single machine scheduling problems typically arising from bottleneck-based decomposition of weighted tardiness job shops. The encountered subproblems are characte...

In this paper we consider the single-machine setup times scheduling with general effects of deterioration and learning. By the general effects of deterioration and learning, we mean that the actual job processing time is a general function of the processing times of the jobs already processed and its scheduled position. The setup times are proportional to the length of the already processed job...

this paper addresses the problem of minimizing the sum of maximum earliness and tardiness on identical parallel machines scheduling problem. each job has a processing time and a due date. since this problem is trying to minimize and diminish the values of earliness and tardiness, the results can be useful for just–in-time production systems. it is shown that the problem is np-hard. using effici...