Minimizing Cumulative Batch Processing Time for an Industrial Oven Scheduling Problem

We introduce the Oven Scheduling Problem (OSP), a new parallel batch scheduling problem that arises in the area of electronic component manufacturing. Jobs need to be scheduled to one of several ovens and may be processed simultaneously in one batch if they have compatible requirements. The scheduling of jobs must respect several constraints concerning eligibility and availability of ovens, release dates of jobs, setup times between batches as well as oven capacities. Running the ovens is highly energy-intensive and thus the main objective, besides finishing jobs on time, is to minimize the cumulative batch processing time across all ovens. This objective distinguishes the OSP from other batch processing problems which typically minimize objectives related to makespan, tardiness or lateness. We propose to solve this NP-hard scheduling problem via constraint programming (CP) and integer linear programming (ILP) and present corresponding CP- and ILP-models. For an experimental evaluation, we introduce a multi-parameter random instance generator to provide a diverse set of problem instances. Using state-of-the-art solvers, we evaluate the quality and compare the performance of our CP- and ILP-models, which could find optimal solutions for many instances. Furthermore, using our models we are able to provide upper bounds for the whole benchmark set including large-scale instances

Automated Production Scheduling for Artificial Teeth Manufacturing

In industrial artificial teeth manufacturing, nowadays a high level of automation is utilized to produce a large quantity of teeth in short production cycles. As a large variety of different product shapes and colors have to be processed on a single machine, the creation of efficient production schedules becomes a very challenging task. Due to the complexity of the problem and several cost minimization objectives that need to be considered, there usually is a large potential to improve the currently manually created schedules with automated solution methods. In this paper, we formally specify and solve a novel challenging real-life machine batch scheduling problem from the area of artificial teeth manufacturing. Additionally, we provide a collection of real-life benchmark instances that can be used to evaluate solution methods for the problem. To efficiently solve the problem, we propose an innovative construction heuristic and metaheuristic approach as well as an exact method using constraint programming. An extensive experimental evaluation shows that exact techniques can efficiently solve small scheduling scenarios and can provide optimal solutions for four instances. Furthermore, we show that the proposed metaheuristic approach is able to reach optimal results for small instances and can find high quality solutions also for large real-life benchmark instances

Solution Approaches for an Automotive Paint Shop Scheduling Problem

In the paint shops of the automotive supply industry, a large number of synthetic material pieces need to be painted every day to provide the large variety of items required for car manufacturing. Because of the sophisticated automated production process and the tight due dates requested by car manufacturers, finding an optimized production schedule becomes a challenging task that is at the present time performed by multiple human planners.In this paper, we formulate and solve a novel real-life paint shop scheduling problem from the automotive supply industry which introduces unique constraints and objectives that do not appear in the existing literature. Additionally, we provide a new collection of benchmark instances based on real-life planning scenarios that can be used to evaluate solution techniques for the problem.An exact approach based on constraint programming is able to provide optimal solutions for smaller instances, but many larger instances could not be solved yet. Therefore, we propose a metaheuristic method based on local search that uses novel neighborhood relations and various ways to escape local optima. Our approach is able to provide feasible solutions for all instances within reasonable running time