Flexible Services and Manufacturing Journal

, Volume 25, Issue 1, pp 206–229

Resource dedication problem in a multi-project environment

Article

DOI: 10.1007/s10696-012-9140-9

Cite this article as:
Beşikci, U., Bilge, Ü. & Ulusoy, G. Flex Serv Manuf J (2013) 25: 206. doi:10.1007/s10696-012-9140-9

Abstract

There can be different approaches to the management of resources within the context of multi-project scheduling problems. In general, approaches to multi-project scheduling problems consider the resources as a pool shared by all projects. On the other hand, when projects are distributed geographically or sharing resources between projects is not preferred, then this resource sharing policy may not be feasible. In such cases, the resources must be dedicated to individual projects throughout the project durations. This multi-project problem environment is defined here as the resource dedication problem (RDP). RDP is defined as the optimal dedication of resource capacities to different projects within the overall limits of the resources and with the objective of minimizing a predetermined objective function. The projects involved are multi-mode resource constrained project scheduling problems with finish to start zero time lag and non-preemptive activities and limited renewable and nonrenewable resources. Here, the characterization of RDP, its mathematical formulation and two different solution methodologies are presented. The first solution approach is a genetic algorithm employing a new improvement move called combinatorial auction for RDP, which is based on preferences of projects for resources. Two different methods for calculating the projects’ preferences based on linear and Lagrangian relaxation are proposed. The second solution approach is a Lagrangian relaxation based heuristic employing subgradient optimization. Numerical studies demonstrate that the proposed approaches are powerful methods for solving this problem.

Keywords

Multi-project schedulingResource dedication problemResource preferenceLagrangian relaxationMRCPSP

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Bogazici UniversityIstanbulTurkey
  2. 2.Sabancı UniversityIstanbulTurkey