In this paper a multicriteria scheduling problem with sequence-dependent setup times on a single machine is considered. The objective function of the problem is minimization of the weighted sum of total completion time, maximum tardiness and maximum earliness. An integer programming model is developed for the problem which belongs to NP-hard class. Only small size problems with up to 12 jobs ca...

In the injection moulding process, a set-up containing positioning moulds, cleaning raw material hopper and machine settings is required. The uncertain owing to random factors, such as crew’s skill levels unexpected breakdowns. general version of this problem known single-machine scheduling with stochastic sequence-dependent times. specialized form problem, objective function defined so minimiz...

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...

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...

Abstract Most Workload Control literature assumes that delivery performance is determined by tardiness related measures only. While this may be true for companies directly deliver to end-customers, make-to-stock or firms are part of supply chains, producing early often means large inventories in the finished goods warehouse penalties incurred downstream chain. Some earlier studies used a so-cal...

In one-machine scheduling, MIP time-indexed formulations are often used to provide very good lower bounds through Lagrangian relaxations. In order to get an improved lower bound, we add valid cuts to a time-indexed formulation and show we still have a Lagrangian relaxation that can be solved as a shortest path in a graph. Two branch-and-bound algorithms are then presented for the earliness-tard...

The just-in-time production philosophy has led to a growing interest in scheduling problems considering both earliness and tardiness penalties. Most publications considering these so-called non-regular objective functions are devoted to single machine problems. In the case of multi-machine problems, there are some papers dealing with parallel machine problems. However, for multi-operation sched...

The single machine scheduling problem with a common due date and nonidentical ready times for the jobs is examined in this work. Performance is measured by the minimization of the weighted sum of earliness and tardiness penalties of the jobs. Since this problem is NP-hard, the application of constructive heuristics that exploit specific characteristics of the problem to improve their performanc...

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...