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中文摘要：
随机环境多型分枝过程（MBPRE）在描述类似于突变基因的出现及生存、分析排队论中队伍变化的波动现象等问题时,比局限于用经典多型分枝过程处理方法能够得到更精确、更深刻的结论。通过整理MBPRE的相关文献,发现其发展现状可归纳为5个问题,即灭绝问题、灭绝时间的渐近性、上临界极限问题、大数指数率及关于MBPRE的拓展问题;给出了一些作者对于某些问题研究的见解及疑问;构造了一个经过正规化的随机环境多型分枝过程的鞅过程Wn^（m）,对其鞅性进行了证明,讨论了Wn^（m）的极限问题。
英文摘要：
Multi-type branching process in random environments（MBPRE） about describing the occurrence and survival of mutant genes, analyzing the fluctuation of team changes in queuing theory, and so on, which can be more precise and deeper than the traditional multi-type branching process.Through the arranging of random environment multi-type branch of the related articles, and reunification of conclusion symbols, its development status is divided into the following five parts： extinction Problem： the extinction time asymptotic, the super critical limit problem, the large exponential rate and the expansion of problem about MBPRE, and some authors＇ opinions and questions about some problems are given. On this basis, the martingale process Wn^（m） of a regularized random environment is studied, and the martingale process is proved and discussing the limit of martingale Wn^（m）.
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