Abstract

Abstract Currently, admiration of the digitalization advancement, numerous industries and domains are extensively implementing computing technologies, that implies enormous requirement for a range of application package. Programmers need for designing successful algorithms so as to build software that meets different requirements with the most economical cost and the highest efficiency. For the same, an efficient algorithm is required to optimise the advantages and lead to the least possible overhead. Algorithms for dynamic programming are applied as one of the most prevalent algorithms to solve problems with optimal characteristics. The regular sub-recursive method needs to chomp time exponentially while explaining difficulties with a great number of sub-difficulties that require iterative computations. In addition, algorithms of dynamic programming will reduce the overall time complexity to the polynomial level. Accordingly, it can be inferred that the algorithm for dynamic programming is most effective related to additional existing algorithms that intends to reduce the algorithm's time complexity. In this paper, we address, in addition to defining the model for manufacturing plan optimization with the help of dynamic programming, the definition, basic elements, properties and algorithmic steps of the dynamic programming.

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