New meta-heuristics for the resource-constrained project scheduling problem

In this paper, we study the resource-constrained project scheduling problem and introduce an annealing-like search heuristic which simulates the cooling process of a gas into a highly-ordered crystal. To achieve this, we develop diversification procedures that simulate the motion of high energy molecules as well as a local refinement procedure that simulates the motion of low energy molecules. We further improve the heuristic by incorporating a genetic algorithm framework. The meta-heuristic algorithms are applied to Kolisch’s PSPLIB J30, J60 and J120 RCPSP instances. Experimental results show that they are effective and are among the best performing algorithms for the RCPSP.

[1]  Toshihide Ibaraki,et al.  Formulation and Tabu Search Algorithm for the Resource Constrained Project Scheduling Problem , 2002 .

[2]  Christian Artigues,et al.  Insertion techniques for static and dynamic resource-constrained project scheduling , 2003, Eur. J. Oper. Res..

[3]  Mario Vanhoucke,et al.  A Decomposition-Based Genetic Algorithm for the Resource-Constrained Project-Scheduling Problem , 2007, Oper. Res..

[4]  Andrew Lim,et al.  Heuristics for matrix bandwidth reduction , 2006, Eur. J. Oper. Res..

[5]  María Pilar Tormos,et al.  A Competitive Heuristic Solution Technique for Resource-Constrained Project Scheduling , 2001, Ann. Oper. Res..

[6]  Krzysztof Fleszar,et al.  An evolutionary algorithm for resource-constrained project scheduling , 2002, IEEE Trans. Evol. Comput..

[7]  Hartmut Schmeck,et al.  Experiences with fine‐grainedparallel genetic algorithms , 1999, Ann. Oper. Res..

[8]  Arno Sprecher.  Network decomposition techniques for resource-constrained project scheduling , 2002, J. Oper. Res. Soc..

[9]  Peter Brucker,et al.  Lower bounds for resource-constrained project scheduling problems , 2003, Eur. J. Oper. Res..

[10]  Anurag Agarwal,et al.  A Neurogenetic approach for the resource-constrained project scheduling problem , 2011, Comput. Oper. Res..

[11]  ANDREW LIM,et al.  A Fast Algorithm for Bandwidth Minimization , 2007, Int. J. Artif. Intell. Tools.

[12]  P. Brucker,et al.  Tabu Search Algorithms and Lower Bounds for the Resource-Constrained Project Scheduling Problem , 1999 .

[13]  Francisco Ballestín,et al.  Resource-constrained project scheduling: A critical activity reordering heuristic , 2003, Eur. J. Oper. Res..

[14]  C. Ribeiro,et al.  Essays and Surveys in Metaheuristics , 2002, Operations Research/Computer Science Interfaces Series.

[15]  Rainer Kolisch,et al.  Experimental investigation of heuristics for resource-constrained project scheduling: An update , 2006, Eur. J. Oper. Res..

[16]  Bert De Reyck,et al.  A hybrid scatter search/electromagnetism meta-heuristic for project scheduling , 2006, Eur. J. Oper. Res..

[17]  Pilar Tormos,et al.  An efficient multi-pass heuristic for project scheduling with constrained resources , 2003 .

[18]  Hartmut Schmeck,et al.  Ant colony optimization for resource-constrained project scheduling , 2000, IEEE Trans. Evol. Comput..

[19]  Silvano Martello,et al.  Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization , 2012 .

[20]  Andrew Lim,et al.  New concepts for activity float in resource-constrained project management , 2011, Comput. Oper. Res..

[21]  Francisco Ballestín,et al.  Justification and RCPSP: A technique that pays , 2005, Eur. J. Oper. Res..

[22]  Andreas Schirmer,et al.  Case‐based reasoning and improved adaptive search for project scheduling , 2000 .

[23]  Rainer Kolisch,et al.  PSPLIB - A project scheduling problem library: OR Software - ORSEP Operations Research Software Exchange Program , 1997 .

[24]  Francisco Ballestín,et al.  A Population-Based Approach to the Resource-Constrained Project Scheduling Problem , 2004, Ann. Oper. Res..

[25]  Mohammad Ranjbar,et al.  Solving the resource-constrained project scheduling problem using filter-and-fan approach , 2008, Appl. Math. Comput..

[26]  Christian Artigues,et al.  LSSPER: Solving the Resource-Constrained Project Scheduling Problem with Large Neighbourhood Search , 2004, Ann. Oper. Res..

[27]  Krzysztof Fleszar,et al.  Solving the resource-constrained project scheduling problem by a variable neighbourhood search , 2004, Eur. J. Oper. Res..

[28]  Rainer Kolisch,et al.  PSPLIB - a project scheduling problem library , 1996 .

[29]  Edward W. Davis,et al.  A Comparison of Heuristic and Optimum Solutions in Resource-Constrained Project Scheduling , 1975 .

[30]  Rainer Kolisch,et al.  Characterization and generation of a general class of resource-constrained project scheduling problems , 1995 .

[31]  Helena Ramalhinho Dias Lourenço,et al.  Iterated Local Search , 2001, Handbook of Metaheuristics.

[32]  Jafar Razmi,et al.  Using an enhanced scatter search algorithm for a resource-constrained project scheduling problem , 2009, Soft Comput..

[33]  K. Bouleimen,et al.  A new efficient simulated annealing algorithm for the resource-constrained project scheduling problem and its multiple mode version , 2003, Eur. J. Oper. Res..

[34]  R. Kolisch,et al.  Heuristic algorithms for the resource-constrained project scheduling problem: classification and computational analysis , 1999 .

[35]  Thomas Bäck,et al.  Evolutionary computation: comments on the history and current state , 1997, IEEE Trans. Evol. Comput..

[36]  Jerome D. Wiest.  Some Properties of Schedules for Large Projects with Limited Resources , 1964 .

[37]  Concepción Maroto,et al.  A Robust Genetic Algorithm for Resource Allocation in Project Scheduling , 2001, Ann. Oper. Res..

[38]  Zbigniew Michalewicz,et al.  GAVaPS-a genetic algorithm with varying population size , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[39]  Mauricio G. C. Resende,et al.  A random key based genetic algorithm for the resource constrained project scheduling problem , 2009, Comput. Oper. Res..

[40]  Rainer Kolisch,et al.  Adaptive search for solving hard project scheduling problems , 1996 .

[41]  Robert J Willis,et al.  An iterative scheduling technique for resource-constrained project scheduling , 1992 .

[42]  Christian Artigues,et al.  Constraint-Propagation-Based Cutting Planes: An Application to the Resource-Constrained Project Scheduling Problem , 2005, INFORMS J. Comput..

[43]  Rolf H. Möhring,et al.  Solving Project Scheduling Problems by Minimum Cut Computations , 2002, Manag. Sci..

[44]  Sönke Hartmann,et al.  A competitive genetic algorithm for resource-constrained project scheduling , 1998 .

[45]  Dale F. Cooper,et al.  Heuristics for Scheduling Resource-Constrained Projects: An Experimental Investigation , 1976 .

[46]  Rainer Kolisch.  Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation , 1994 .

[47]  Y. Kochetov,et al.  Evolutionary Local Search with Variable Neighborhood for the Resource Constrained Project Scheduling Problem , 2003 .