P. Fortemps et al., USING METAHEURISTICS FOR SOLVING A PRODUCTION SCHEDULING PROBLEM IN ACHEMICAL FIRM - A CASE-STUDY, International journal of production economics, 46, 1996, pp. 13-26
The problem is raised by a workshop management team in a chemical indu
stry producing materials of different types. The workshop contains sev
eral equipments in parallel and in series which can be used for the pr
oduction of each job. The equipments in series are connected by a pipi
ng system forming a network by which the material runs out. Some conne
ctions are shared by several pairs of equipments so that the use of su
ch a connection for one pair of equipments makes this connection unava
ilable at the same time for other pairs. Several particular constraint
s must be satisfied and deadlines exist for some jobs. The objectives
are to minimize the makespan and the tardiness. A method is proposed t
o heuristically obtain a satisfying production schedule. The procedure
involves two stages. In a first step, given a fixed order of the jobs
, a conventional heuristic is proposed to successively assign the jobs
to the available equipments. In a second step, the simulated annealin
g or tabu metaheuristics are applied to optimize the order of the jobs
. The method was implemented on a PC and applied to an instance of the
problem. Some comparisons are made to analyse and compare the efficie
ncy of the heuristics.