The Resource-Constrained Multi-Mode Project Scheduling Problem

This chapter reports on a new solution approach for the multi-mode resource-constrained project scheduling problem (MRCPSP, MPS|prec|Cmax). This problem type aims at the selection of a single activity mode from a set of available modes in order to construct a precedence and a (renewable and non-renewable) resource-feasible project schedule with a minimal makespan. The problem type is known to be N P-hard and has been solved using various exact as well as (meta-)heuristic procedures. The new algorithm splits the problem type into a mode assignment and a single mode project scheduling step. The mode assignment step is solved by a satisfiability (SAT) problem solver and returns a feasible mode selection to the project scheduling step. The project scheduling step is solved using an efficient meta-heuristic procedure from literature to solve the resourceconstrained project scheduling problem (RCPSP). However, unlike many traditional meta-heuristic methods in literature to solve the MRCPSP, the new approach executes these two steps in one run, relying on a single priority list. Straightforward adaptations to the pure SAT solver by using pseudo boolean non-renewable resource constraints has led to a high quality solution approach in a reasonable computational time. Computational results show that the procedure can report similar or sometimes even better solutions than found by other procedures in literature, although it often requires a higher CPU time. José Coelho Department of Sciences and Technology, Universidade Aberta, Rua da Escola Politécnica, 147, 1269-001, Lisbon (Portugal) e-mail: [email protected] Mario Vanhoucke Faculty of Economics and Business Administration, Ghent University, Tweekerkenstraat 2, 9000 Gent (Belgium) e-mail: [email protected] Technology and Operations Management Area, Vlerick Business School, Reep 1, 9000 Gent (Belgium) e-mail: [email protected] Department of Management Science and Innovation, University College London, Gower Street, London WC1E 6BT (United Kingdom) e-mail: [email protected]