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We investigate observational constraints on the generalized Chaplygin gas(GCG) model including the gamma-ray bursts (GRBs) at high redshift obtaineddirectly from the Union2 type Ia supernovae (SNe Ia) set. By using the MarkovChain Monte Carlo method, we constrain the GCG model with thecosmology-independent GRBs, as well as the Union2 set, the cosmic microwavebackground (CMB) observation from the Wilkinson Microwave Anisotropy Probe(WMAP7) result, and the baryonic acoustic oscillation (BAO) observation fromthe spectroscopic Sloan Digital Sky Survey (SDSS) data release 7 (DR7) galaxysample. The best-fit values of the GCG model parameters are$A_S$=$0.7475_{-0.0539}^{+0.0556}(1\sigma)_{-0.0816}^{+0.0794}(2\sigma)$,$\alpha$=$-0.0256_{-0.1326}^{+0.1760}(1\sigma)_{-0.1907}^{+0.2730}(2\sigma)$,and the effective matter density$\Omega_{m}=0.2629_{-0.0153}^{+0.0155}(1\sigma)_{-0.0223}^{+0.0236}(2\sigma)$,which are more stringent than the previous results for constraining on GCGmodel parameters.

Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach