Abstract
The paper aims to address the straight and U–type assembly line balancing problems by developing a novel recursive heuristic algorithm based on the idea of the depth of search. The dynamic fuzzy processing time (DFPT) model is employed to represent uncertainty and ambiguity related to the processing time in the actual production systems. The novel algorithm, the minimum cycle time objective is considered for a set of imposed considerers. They are arranged in an appropriate strategy in which three-stages are proposed and presented as a solution approach. Finally, the validity of the developed solution approach is evaluated through a tested numerical example conducted over a test problem taken from literature to assess its performance. This study proofs their ability and efficiency in assisting decision-making by determining the contribution proportion for significant assignment variables represented by skill level, work stability, type layout, and priority rule
Highlights
The results obtained represent tested problems discussed over two examined layouts under study, all data tested outcome 24 alternative design solutions to solve the related problem; Tables VII and VIII summarized the results of S-ALB and U-ALB are obtained by the proposed approach, the first column shows given workstations
To assist decision making in finding the best solution in filed assembly line balancing problem (ALBP), this approach study the most important assignment variables and their effect that will contribute in case balancing assembly line
Modeling the ALBP has covered a wide range of real-world industries
Summary
Publishing rights belongs to University of Technology’s Press, Baghdad, Iraq. handling system [4]. There are numerous studies about ALBP usually classified into two basic categories representing a simple assembly line balancing problem (SALBP) and generalized assembly line balancing problem (GALBP). This work is related to only SALBP-type I and SALBP-type II versions have a dual relation while the first type tries to minimize the number of workstations for given cycle time, the second one tries to minimize the cycle time for given workstations number [7,8].GALBP versions have the extra features included other classification depending on its layout into two group straight assembly line (S-ALB) and U-shaped assembly line (U-ALB) [8]. The work processing time of the assembly line usually has been considered smooth, in another word it is performed in standard time but, this can lead to delays about estimating dates to complete product [11]. Task processing time can be handled by estimating uncertain data to integrate process time uncertainty in ALBP [12]
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