Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems

Rezig, Sadok; Ezzeddine, Wajih; Turki, Sadok; Rezg, Nidhal

doi:10.3390/math8060955

Cited by 10 publications

(4 citation statements)

References 25 publications

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“…The Petri net supervisor in our methodology can be defined by a set of control places ∑ P c . The control place P c can be calculated by solving the linear system of the theory of regions [18][19][20][21][22]. This linear system is composed of three types of conditions.…”

Section: Tools and Methodsmentioning

confidence: 99%

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Online Activation and Deactivation of a Petri Net Supervisor

2021

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This paper highlights algebraic and mathematical properties in symmetry with Petri nets in order to control automated systems such as flexible workshops, which represent one of the most important examples in industry and for discrete event systems in general. This project deals with the problem of forbidden state transition by using a new application of the theory of regions for supervisory control. In the literature, most control synthesis methods suffer greatly from a cumbersome calculation burden of the Petri net supervisor given the complex exploration of the state graph. Our new methodology lightens the computational load of the Petri net supervisor by choosing specific regions on the reachability graph, on which the control is calculated offline using CPLEX. The determined controller is activated online if the process enters the chosen region, and deactivated otherwise. All our experiments were applied in a flexible workshop implemented in our research laboratory, which was used to engrave selected models on glass blocks of different colors.

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Section: Tools and Methodsmentioning

confidence: 99%

“…State number 7 is a blocking state [21] and will lead to a deadlock. So, it is considered a forbidden state.…”

Section: Tools and Methodsmentioning

confidence: 99%

Online Activation and Deactivation of a Petri Net Supervisor

2021

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“…As regards the worker performing moulding operation causes would be Anthropometric Information about the operator -dimension from foot fingers to knee, from knee to waist, waist to chest, knee to chest, from shoulder to elbow, elbow to fingers etc [9].Tools for the operation -Weight of Pattern, Ram, and Moulding box .Responses (i.e. effects) (Output) would be Productivity (Opt1), Human Energy input (Opt2).…”

Section: Identification Of System Constants and Process Parametersmentioning

confidence: 99%

Mathematical Model for Field Data Based for Productivity Enhancement of Cylinder Head Moulding Operation

Zakiuddin¹,

Bachute

Zahiruddin

2022

J. Phys.: Conf. Ser.

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The paper illustrates with an approach for formulation of generalized field data based model for cylinder head moulding operation. The aim of field data based modeling for cylinder head moulding operation is to evaluate variable responsible for productivity enhancement & with minimum human energy expenditure. The study identifies important ergonomic and other work environment related parameters which affect the productivity. The identified parameters are properties of sand, physical dimensions of tools, energy outflow of workers, workers anthropometric data, working environment. Out of all the variables responses and causes are identified. After dimensional analysis relationship between the dependent and independent parameters, a mathematical model is established having relationship between output parameters and input. To get the optimized values model is optimized using the optimization technique. Sensitivity analysis is a tool which can be used to find out the effect of input one parameter over the other. The model will be useful for an industrialist to select optimized inputs so as to get targeted responses.

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“…Furthermore, a GA is proposed to find efficient solutions for big scheduling problems. (Rezig et al 2020) develops a scheduling model with production and maintenance constraints for a discrete event system based on Petri nets. The study demonstrated the performance of the mathematical model, an implementation example of the approach such as hospital bed management.…”

Section: Introductionmentioning

confidence: 99%

An effective Hybrid Petri net and Tabu Search for Parallel Machines Scheduling with Availability Constraint

Proceedings of the International Conference on Industrial Engineering and Operations Management

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Machines can become unavailable during the planning horizon due to unexpected breakdowns. Such periods of unavailability should be properly taken into account when designing the production schedule. This paper proposes an optimal solution to unrelated parallel machine scheduling problems with availability constraints based on timed Petri nets (TPNs) to minimize the maximum completion time of jobs. For this NP-hard problem, a new hybrid Petri net and tabu search (PNTS) approach is proposed to find an optimal solution for this problem. A numerical example is used to assess the performance of the proposed PNTS. The computational results highlight the ability of the proposed PNTS to obtain optimal solutions for this problem.

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Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems

Cited by 10 publications

References 25 publications

Online Activation and Deactivation of a Petri Net Supervisor

Online Activation and Deactivation of a Petri Net Supervisor

Mathematical Model for Field Data Based for Productivity Enhancement of Cylinder Head Moulding Operation

An effective Hybrid Petri net and Tabu Search for Parallel Machines Scheduling with Availability Constraint

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