Imed Nasri

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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 deterministic 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)
In this paper, a genetic algorithm (GA) method for the design of the operational architecture of a control system is presented. It provides from the knowledge of some characteristics of the functions that the control system must ensure, an allocation solution of these functions on industrial controllers while satisfying capabilities, compatibility and(More)
The High-Variety, Low-Volume (HVLV) scheduling problem is one of the most arduous combinatorial optimization problems. This paper considers an interesting formulation of the HVLV scheduling problem using (max, +) algebra while periodic Preventive Maintenance (PM) is considered. Maintenance is time based since activities are periodically fixed: maintenance(More)
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