This paper presents an exact algorithm for the Lock Scheduling Problem (LSP) based on a Combinatorial Benders decomposition. LSP consists of three strongly interconnected sub problems: scheduling the lockages, assigning ships to chambers, and positioning the ships inside the chambers. These three sub problems are interpreted resp. as a scheduling, an assignment, and a packing problem. By combin...

production planning and scheduling are the most important issues of the production industries, which have a considerable influence on the productivity of the production systems. although, production planning and scheduling are in two different medium-term and short-term decision making levels, there are a very close relationship between them. ignoring this important feature in production planni...

In the past years a vast amount of work has been done in order to improve the basic scheduling algorithms for master/slave computations. One of the main results from this is that the workload of the tasks may be adapted during the execution, using either a fixed increment or decrement (e.g. based on an arithmetical or geometrical ratio) or a more sophisticated function to adapt the workload. Cu...

Due to the increase of a variety of demands from downstream customers, the enterprises are necessary to expand more capacity of their factories by way of adding more plants or outsourcing. Many enterprises encounter great difficulties in production planning because manufacturing environments have changed from traditional single-plant to current multi-plants. Therefore, the company may possess m...

One of the primary factors that impact the master production scheduling performance is demand fluctuation, which leads to frequently updated decisions, thereby causing instability. Consequently, global cost deteriorates, and productivity decreases. A reactive approach based on parametric mixed-integer programming is proposed that aims to provide a set of plans such that a compromise between pro...

The Aggregate Production Plan (APP) is a schedule of the organization’s overall operations over a planning horizon to satisfy demand while minimizing costs. It is the baseline for any further planning and formulating the master production scheduling, resources, capacity and raw material planning. This paper presents a methodology to model the Aggregate Production Planning problem, which is comb...

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