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The High-Variety, Low-Volume (HVLV) scheduling problem is one of the most arduous and combinatorial optimization problems. This paper presents an analytical scheduling model using a tropical algebra called (max,+) algebra. The aim is to find an allocation for each operation and to define the sequence of operations on each machine, so that the resulting(More)
Most production scheduling problems, including High-Variety, Low-Volume (HVLV) scheduling problems assume that machines are continuously available. However, in most actual situations, machines become unavailable during certain periods when preventive maintenance (PM) is scheduled. In this paper, a HVLV scheduling problem is proposed while considering(More)
In this paper, a max-plus-linear model predictive control strategy is proposed for High-Variety, Low-Volume (HVLV) systems. Firstly, using the (max,+) algebra, a direct generation of event-timing equations for determinis-tic and decision-free HVLV manufacturing systems is obtained. Then, a linear optimization method is presented. It is based on canonical(More)
High-Variety, Low-Volume (HVLV) manufacturing systems are built to produce parts of several types in small quantities and under multiple production objectives. They relate to job-shop systems well known by researchers. One of the most studied assumptions of HVLV systems scheduling is considering that machines may be periodically unavailable during the(More)
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