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This dissertation presents a theoretical study of soft hadron production inrelativistic heavy-ion collisions. We explore the principles governing thehadronization of the expanding QGP fireball, and to understand its properties.Much of the ongoing effort is to demonstrate the validity of a QGPhadronization model which describes the particle production data accurately. Webegin with a centrality study of multistrange hadrons from Au-Au collisions at62.4 GeV at RHIC. We show that the statistical hadronization model (SHM) welldescribes particle production in QGP hadronization. For all centralities, thephysical properties are compatible with the earlier proposed criticalhadronization pressure suggesting universal hadronization conditions of QGP.  Heavy-ion collisions at LHC present a new challenge for SHM in describingparticle production at TeV energy scales. We show that the chemicalnon-equilibrium model gives a good description of the hadron production inPb--Pb collisions at 2.76 TeV consistently as a function of centrality.Moreover, the model parameters assume expected values suggested by previousstudies at lower energies. The quark-gluon plasma fireball hadronizes at thesame universal hadronization conditions, that is a common critical pressure,entropy and energy density.  At LHC energies, a significant amount of charm is expected to be produced andit is therefore crucial to incorporate charm into the present description ofparticle production. We present an upgraded SHARE with CHARM program, thatquantifies the effect of charm on the yield of lighter hadrons and physicalproperties of the hadronizing fireball. In addition to light flavors ($u,d,s$),SHARE with CHARM describes charm hadron production and decays. We observe, thataccording to present experimental results, charm decays mainly affect theyields of multistrange particles.

Strangeness and charm in quark-gluon hadronization