In this paper we consider constructive heuristic algorithms for the op
en shop problem with minimization of the schedule length. By means of
investigations of the structure of a feasible solution two types of he
uristic algorithms are developed: construction of a rank-minimal sched
ule by solving successively weighted maximum cardinality matching prob
lems and construction of an approximate schedule by applying insertion
techniques combined with beam search. All presented algorithms are te
sted on benchmark problems from the literature. Our computational resu
lts demonstrate the excellent solution quality of our insertion algori
thm, especially for greater job and machine numbers. For 29 of 30 benc
hmark problems with at least 10 jobs and 10 machines we improve the be
st known values obtained by tabu search.