Unit-Specific Event-Based and Slot-Based Hybrid Model Framework with Hierarchical Structure for Short-Term Scheduling

Wang, Yue; Su, Hongye; Shao, Hanshan; Xie, Lei

doi:10.1155/2015/906280

Cited by 2 publications

(2 citation statements)

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“…Numerical example is introduced firstly by Maravelias and Grossmann [44] and has been studied in several studies [31,45]. As shown in Figure 3, this example involves four tasks in three units processing seven states.…”

Section: Case Studymentioning

confidence: 99%

Uncertain Production Scheduling Based on Fuzzy Theory Considering Utility and Production Rate

et al. 2017

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Abstract:Handling uncertainty in an appropriate manner during the real operation of a cyber-physical system (CPS) is critical. Uncertain production scheduling as a part of CPS uncertainty issues should attract more attention. In this paper, a Mixed Integer Nonlinear Programming (MINLP) uncertain model for batch process is formulated based on a unit-specific event-based continuous-time modeling method. Utility uncertainty and uncertain relationship between production rate and utility supply are described by fuzzy theory. The uncertain scheduling model is converted into deterministic model by mathematical method. Through one numerical example, the accuracy and practicability of the proposed model is proved. Fuzzy scheduling model can supply valuable decision options for enterprise managers to make decision more accurate and practical. The impact and selection of some key parameters of fuzzy scheduling model are elaborated.

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Section: Case Studymentioning

confidence: 99%

Uncertain Production Scheduling Based on Fuzzy Theory Considering Utility and Production Rate

et al. 2017

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“…11,12 However, some limitations of unit-specific, event-based continuous-time model (USEBCTM) with utility constraints have caused concern among some scholars. 2,7,11 Wang and Su 13 proposed a unit-specific, event-based and slot-based continuous-time hybrid model framework with utility constraints to eliminate the limitations of USEBCTM, including overstrict constraints on utility resources, multiple counting problems, and so on. The essential cause of the limitations of USEBCTM is the time representation approach.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Discrete Time Formulation for a Short-Term Batch Process Scheduling Problem with Utility Constraints

Wang

Jin

2019

Ind. Eng. Chem. Res.

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For a short-term production scheduling problem with utility constraints, the discrete-time modeling approach has its inherent advantages compared with the continuous-time approach. Even so, there are still some limitations to the discrete-time approach in calculating utility consumption. This paper aims to enhance the capability of the discrete-time model to calculate utility consumption more accurately. In this paper, a four-dimensional binary variable is introduced on the basis of a basic three-dimensional discrete-time model framework. Constraints crucial to utility consumption calculation, including allocation, batch size, and material balance, are modified significantly. Moreover, production rate fluctuation and safe inventory interval constraints are considered in the proposed model, which can increase the stability and robustness of production and operation. Finally, two cases demonstrate that the proposed four-dimensional discrete-time model is more accurate than the basic three-dimensional model in terms of calculating utility consumption. In addition, when the disturbance of utility supply amount appears, the proposed model can also respond to the disturbance.

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Unit-Specific Event-Based and Slot-Based Hybrid Model Framework with Hierarchical Structure for Short-Term Scheduling

Cited by 2 publications

References 20 publications

Uncertain Production Scheduling Based on Fuzzy Theory Considering Utility and Production Rate

Uncertain Production Scheduling Based on Fuzzy Theory Considering Utility and Production Rate

Enhanced Discrete Time Formulation for a Short-Term Batch Process Scheduling Problem with Utility Constraints

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