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Providing a Mathematical Method of Zero & One to Select the Sequence of Models in Multi- Model Production Line Balancing Problem

Seyedarash shariat, Ahmad Khodabakhshi, Seyedsaeidsadat Mazloumi, Mostafa Vahdani

The problem of Production line balance is one of the issues that there have been extensive studies about it in the last decades. Most of these studies are on SALBP model. Another form of these kindsof issues is line balance for multi-model mode. Multi-model production line investigates different numbers and size of a product for assembling different models of it. These models follow each other to enter the production line. Because the time cycle of each model may be different from othersand also their function will assign separately, so their sending order is important on the production line. In these kinds of subjects, the models arrangement on the production line is significant. For producing subjects with different types in a short time cycle, is necessary to make an efficient decision in assigning the models function, their arrangement on the production line can also affect the whole system time cycle. Therefore we can achieve to the optimum sequence with calculation of time cycle for each sequence of the models. This article will determine the best arrangement of different models of a product with the same output, by providing a mathematical method of zero & one and considering the minimum time cycle.