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...

this paper considers a two-stage assembly flow shop problem (tafsp) where m machines are in the first stage and an assembly machine is in the second stage. the objective is to minimize a weighted sum of earliness and tardiness time for n available jobs. jit seeks to identify and eliminate waste components including over production, waiting time, transportation, inventory, movement and defective...

We consider a special class of resource-constrained single machine scheduling problems. In the classical context, resource types are classified into renewable and non-renewable; however, large variety real-world problems may not fit one these classes, e.g. labour regulations in project scheduling, budget allocation to different phases construction project, dose management medical imaging centre...

In this paper, we will present a new variant of genetic algorithm to solve optimization problems where the number of feasible solutions is very important. This approach consists on a hybrid algorithm between genetic algorithms introduced by J. Holland (1975) and dynamic programming method of R. Bellman (1957). Then we will apply this hybrid algorithm to solve a single machine scheduling problem...

This paper addresses the single machine scheduling problem with a common due date aiming to minimize earliness and tardiness penalties. Due to its complexity, most of the previous studies in the literature deal with this problem using heuristics and metaheuristics approaches. With the intention of contributing to the study of this problem, a branch-and-bound algorithm is proposed. Lower bounds ...

There are many service systems (especially in reservation systems, electronic commerce, in tasks synchronized directly with the Internet), where each task has to be executed in some fixed range of time. Exceeding the term is disadvantageous and causes additional penalties. Therefore, it is necessary to establish optimal sequence of tasks (which minimizes penalties) and its starting times. It am...

Crossover operators that preserve common components can also preserve representation level constraints. Consequently, these constraints can be used to beneficially reduce the search space. For example, in flow shop scheduling problems with order-based objectives (e.g. tardiness costs and earliness costs), search space reductions have been implemented with precedence constraints. Experiments sho...

We examine the problem of scheduling jobs, on a single processor to minimise the total earliness and tardiness costs about a common due date. Jobs belong to mutually exclusive families and a sequence independent setup task is required when processing switches from a job of one family to a job of another. We extend earlier results to obtain necessary optimal conditions for this problem. These ar...