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Many networks including assembly process networks are found to divide naturally into modules. Therefore, modular process design is frequently applied in many domains. This study proposes a new method for identification of optimal modularity level of assembly process structures, which can be used in case of early stage design when there is explicit requirement to design process structure with optimal modularity level. In order to verify applicability of the proposed indicator, it will be tested and compared with anther optimal modularity measure. For this purpose, selected types of assembly process structures will be used. Moreover, the intention of this paper is also to outline mutual relation between relative modularity measures and optimal modularity measures.

In this paper dynamic lot sizing problems with the single level multi-item lot sizing with due date, random demands and limited machine capacities is discussed. The focus is on a multi-model parallel assembly lines, where different products are assembled in the same line in runs with varying quantities of daily orders of products, whose sequence and length should be optimally determined. The main goal of this paper is to present a method to determine the sufficient lot sizes released to the shop in order to optimize schedules that conform to due process requirements.