We consider in this paper the two-machine flowshop scheduling problem with total tardiness minimization. We propose a genetic algorithm and a matheuristic algorithm. Some computational experiments are described and the results show that these methods outperform other existing methods based on truncated branch-and-bound algorithms. Some future research directions are given, both in terms of eval...

It is well known that except in the case of makespan problems, there are hardly any analytical results for flowshop problems. This paper considers of a class of flowshop problems where job processing time at a machine is proportionate to the processing time on the first machine. We show that for the pre-emptive version of the problem, in order to minimize any regular measure of performance, it ...

This paper reports on computational experiments involving optimal solutions to the flowshop tardiness problem. Of primary interest was a generic approach: solutions were obtained using a spreadsheet-based, mixed-integer programming code. However, the results compare favorably with those from a specially-tailored branch and bound algorithm. The main implication is that hardware and software have...

Four heuristic algorithms are developed for solving the generalized version of tardiness flow shop problems. We consider the generalized tardiness flow shop model with minimization of the total tardiness as its performance measure. We modify the concept of cost over time (COVERT) for the generalized version of the flow shop tardiness model and employ this concept for developing four algorithms....

This paper considers the problem of scheduling n jobs in the generalized tardiness flow shop problem with m machines. Seven algorithms are developed for finding a schedule with minimum total tardiness of jobs in the generalized flow shop problem. Two simple rules, the shortest processing time (SPT), and the earliest due date (EDD) sequencing rules, are modified and employed as the core of seque...

This paper discusses a two-stage assembly-type flowshop scheduling problem with batching considerations subject to a fixed job sequence. The two-stage assembly flowshop consists of m stage-1 parallel dedicated machines and a stage-2 assembly machine which processes the jobs in batches. Four regular performance metrics, namely, the total completion time, maximum lateness, total tardiness, and nu...

Hybrid Flowshop Scheduling (HFS) is one of the most comprehensively studied in scheduling problems. HFS has m-machines in each stage so that it is more complicated that regular flowshop scheduling. There are several production systems using HFS, such as steel manufacture, textile, and paper industry [8] [15]. Makespan and total tardiness are two important goals in scheduling to make the schedul...

this paper deals with a bi-objective hybrid no-wait flowshop scheduling problem minimizing the makespan and total weighted tardiness, in which we consider transportation times between stages. obtaining an optimal solution for this type of complex, large-sized problem in reasonable computational time by using traditional approaches and optimization tools is extremely difficult. this paper presen...