Scheduling problems naturally arise in supply chains, ranging from manufacturing and business levels in a single firm through multi-organizational processes. In these environments, jobs are served by various resources. As scheduling choices are often decentralized, an inferior system solution may occur. In this paper we investigate a decentralized job-shop system, where jobs are processed utili...

We study a real-world complex hybrid flow-shop scheduling problem arising from a bio-process industry. There are a variety of constraints to be taken into account, in particular zero intermediate capacity and limited waiting time between processing stages. We propose an exact solution approach for this optimization problem, based on a discrete time representation and a mixed-integer linear prog...

The subject of this paper is a flow-shop based on a case study aimed at the optimisation of ordering production jobs in mechanical engineering, in order to minimize the overall processing time, the makespan. The production jobs are processed by machines, and each job is assigned to a certain machine for technological reasons. Before processing a job, the machine has to be adjusted; there is onl...

  In this paper, we consider a flow shop scheduling problem with bypass consideration for minimizing the sum of earliness and tardiness costs. We propose a new mathematical modeling to formulate this problem. There are several constraints which are involved in our modeling such as the due date of jobs, the job ready times, the earliness and the tardiness cost of jobs, and so on. We apply adapte...

The context of the problem tackled in this paper is a computer system composed by a single server and two identical parallel machines. The processing times on the server are assumed to be unary and the objective is to minimize the total completion time. The papers dealing with scheduling problems with a server generally consider that the setup activities require simultaneously the server and th...

We consider the flow shop scheduling problem with minimizing two criteria simultaneously: the total completion time (makespan) and the sum of tardiness of jobs. The problem is strongly NP-hard, since for each separate criteria the problem is strongly NP-hard. There is a number of heuristic algorithms to solve the flow shop problem with various single objectives, but usage of those heuristics to...

Flow-shop scheduling problem (FSP) deals with the scheduling of a set of jobs that visit a set of machines in the same order. The FSP is NP-hard, which means that an efficient algorithm for solving the problem to optimality is unavailable. To meet the requirements on time and to minimize the make-span performance of large permutation flow-shop scheduling problems in which there are sequence dep...

We study an inverse counterpart of the two machine flow-shop scheduling problem that arises in the context of inverse optimization. While in the forward scheduling problem all parameters are given and the objective is to find job sequence(s) for which the value of the makespan is minimum, in the inverse scheduling the exact values of processing times are unknown and they should be selected with...

In simple flow shop problems, each machine operation center includes just one machine. If at least one machine center includes more than one machine, the scheduling problem becomes a flexible flow-shop problem. Recently, group scheduling has also been proposed and discussed. In the group scheduling, each job belongs to a specific group and all the jobs are processed group by group. In this pape...