mh algorithm development in optimization and design to use in sustainable architecture

nowadays, the increasing growth of the population and the willingness of the most people to live in the cities have resulted in population density in the cities. as such, because of the urban space limitation, it is necessary to optimize the architectural designs so as to maximize the use of spaces. the aforementioned issue seems to be of a greater importance in areas with higher population peak and land price. in line with this, it is necessary to use mathematical modeling; in this regard, the engineers, architectures, and mathematicians face complicated issues such as beautification in design and implementation of which in mathematical algorithms- a difficult job. therefore, various algorithms have been presented so far in the field of mathematics and algorithm design; the most important of which is the genetic algorithm. a new algorithm was presented by the writers of this study in 2015, it was called mh; it deals with optimization and architectural design and a new approach has been implemented in which in this regard. this approach has some features compared to the genetic algorithm (ga). however, this algorithm is at the beginning of its evolutionary procedure. in this paper, this algorithm has been developed and updated. it seems that this algorithm can be a part of the design elements in the sustainable architecture.