  The assumptions in the Lund model suffice to prescribe a unique stochastic
process for the fragmentation of a string into a set of hadrons, so long as the
string is "flat", ie as long as the state described by the string consists only
of a quark and an antiquark stretching a constant force field between them.
Emission of gluons causes the string to trace more complicated surfaces in
Minkowski space, and some form of generalization of the 1+1 dimensional model
is required. One such generalizaiotn has been developed and implemented as a
Monte Carlo routine "JETSET" by Torbj\"orn Sj\"ostrand, which has been hightly
successful in describing experimental data. But there are theoretical reasons
to believe that the fragmentation scheme employed in JETSET is not entirely
satisfactory; most notably, non-adherance to the Lund Area law, and certain
problems in handling transverse momenta. A few alternative scenarios, which we
have examined in detail and implemented in separate computer programs, will be
presented here, with comparisons to JETSET in certain simple cases. Our effort
has been to preserve the area law for the fragmentation of a gluonic string,
while we explored the possibility of allowing the fragmentation process to
reshape the string surface slightly.
