New Challenges in Scheduling Theory

October 21 - 27, 2012 --- Centre CNRS "La Villa Clythia", Frejus, France

Tabu Search and Lower Bounds for a Combined Production-Transportation Problem

SpeakerSigrid Knust

Coauthors: Alessandro Condotta, Dimitri Meier, and Natalia V. Shakhlevich

In this talk we consider a combined production-transportation problem, where n jobs have to be processed on a single machine at a production site before they are delivered to a customer. At the production stage, for each job a release date is given; at the transportation stage, job delivery should be completed not later than a given due date. The transportation is done by m identical vehicles with limited capacity. It takes a constant time to deliver a batch of jobs to the customer. The objective is to find a feasible schedule minimizing the maximum lateness. After formulating the considered problem as a mixed integer linear program, we propose different methods to calculate lower bounds. Then we describe a tabu search algorithm which enumerates promising partial solutions for the production stage. Each partial solution is complemented with an optimal transportation schedule (calculated in polynomial time) achieving a coordinated solution to the combined production-transportation problem. Finally, we present results of computational experiments on randomly generated data.