This article investigates a JIT single machine scheduling problem with a periodic preventive maintenance. Also to maintain the quality of the products, there is a limitation on the maximum number of allowable jobs in each period. The proposed bi-objective mixed integer model minimizes total earliness-tardiness and makespan simultaneously. Due to the computational complexity of the problem, mult...

This scheduling model is derived from the real problem of scheduling looms in a textile industry. Jobs may be independently split over several specified machines and preemption is allowed. Deadlines are specified for each job and jobs are assumed to be available. It is shown that minimizing maximum weighted tardiness can be done in polynomial time. The case of uniform machines (as in the consid...

Order acceptance and scheduling decisions arise when the limited production capacity entails a manufacturer to select among incoming orders. In this paper, we consider an order acceptance and scheduling problem in a single machine environment where the orders are processed without preemption and a sequence dependent setup time is incurred between processing of every consecutive order. The probl...

In traditional scheduling problems, most literature assumes that the processing time of a job is fixed. However, there are many situations where the processing time of a job depends on the starting time or the position of the job in a sequence. In such situations, the actual processing time of a job may be more or less than its normal processing time if it is scheduled later. This phenomenon is...

Scheduling is a scientific domain concerning the allocation of limited tasks over time. The goal of scheduling is to maximize (or minimize) different criteria of a facility as makespan, occupation rate of a machine, total tardiness ... In this area, scientific community usually group the problem with, on one hand the system studied, defining the number of machines (one machine, parallel machine...

In this paper we propose a new approach to solve bi-criterion optimization problems with ant algorithms where several colonies of ants cooperate in nding good solutions. We introduce two methods for cooperation between the colonies and compare them with a multistart ant algorithm that corresponds to the case of no cooperation. Heterogeneous colonies are used in the algorithm, i.e. the ants di e...

In <span>optimization, scheduling problems is concerning allocations of some resources which are usually limited. These done in order to fulfil criterion by performing tasks or jobs optimize one more objective functions. Simultaneous multi-criteria problem known as np-hard optimization problem. Here, we consider three criteria for a number on single machine. The minimize the sum total com...