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We present an effcient Monte-Carlo method for lattice glass models which arecharacterized by hard constraint conditions. The basic idea of the method issimilar to that of the $N$-fold way method. By using a list of sites into whichwe can insert a particle, we avoid trying a useless transition which isforbidden by the constraint conditions. We applied the present method to alattice glass model proposed by Biroli and M{\'e}zard. We first evaluated theefficiency of the method through measurements of the autocorrelation functionof particle configurations. As a result, we found that the efficiency is muchhigher than that of the standard Monte-Carlo method. We also compared theefficiency of the present method with that of the $N$-fold way method indetail. We next examined how the efficiency of extended ensemble methods suchas the replica exchange method and the Wang-Landau method is inflnuenced by thechoice of the local update method. The results show that the efficiency isconsiderably improved by the use of efficient local update methods. Forexample, when the number of sites $N_{\rm site}$ is 1024, the ergodic time$\tau_{\rm E}$ of the replica exchange method in the grand-canonical ensemble,which is the average round-trip time of a replica in chemical-potential space,with the present local update method is more than $10^2$ times shorter thanthat with the standard local update method. This result shows that theefficient local update method is quite important to make extended ensemblemethods more effective.

A List Referring Monte Carlo Method for Lattice Glass Models