The Scientific World Journal / 2014 / Article / Tab 2 / Research Article
Integrated Project Scheduling and Staff Assignment with Controllable Processing Times Table 2 Summary of related papers.
Project sched. Staff assign. Prec. relations Release time Due dates Preemp.-nonPreemp. Learning effect CPTSkill
Move const. Outsourcing staff Project selection Resources per task Skill Objective function Exact methods and solvers Aprox. alg. Alfares and Bailey [28 ] X Global X X NP Data1 Cost
2 Heuristic Bassett [29 ] X X X NP 1 X Cost CPLEX Heuristic Bellenguez and Néron [14 ] X X X NP n X Makespan Branch and bound Bellenguez-Morineau and Néron [15 ] X X X NP n X Makespan Lower bound Corominas et al. [20 ] X X X X P X 1 Makespan CPLEX Dodin and Elimam [22 ] X X X NP Data1 1 Cost Lindo Drexl [21 ] X X X NP Data1 1 Cost Branch and bound Monte Carlo Drezet and Billaut [17 ] X X X X X NP X n X Lateness CPLEX Tabu search Gutjahr et al. [25 ] X X X X X P X X n X Multiobjective CPLEX Greedy procedure Gutjahr et al. [26 ] X X X X P X X n X Multiobjective CPLEX NSGA-II and P-ACO Hachicha et al. [30 ] X Data1 Cost and preference Lingo Heimerl and Kolisch [31 ] X X Non Linear X Cost COIN-OR’s Ipopt Kolisch and Heimerl [24 ] X X X X X NP X n X Cost CPLEX Genetic alg. and tabu search Valls et al. [19 ] X X X X X NP Linear 1 X Multiobjective Genetic alg. Vairaktarakis [18 ] X X X 1 X Makespan Lower bound Heuristics Wu and Sun [27 ] X X X P X X 1 Cost CPLEX Genetic alg. This paper X X X X NP Piecewise linear X n X Makespan CPLEX Gurobi GRASP
Processing times are preprocessed depending on the number of assigned employees or on the level of skills of the assigned employee(s) and then they are introduced in the model as data.
An integer programming model is solved, although the way to do it is not explained.