A mathematical programming formulation for temporal flexibility analysis

Adi, Vincentius Surya Kurnia; Chang, Ching-Chun

doi:10.1016/j.compchemeng.2013.04.001

Cited by 19 publications

(12 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It would be practicable to have a Decision Support System in order to make the comprehensive method of project examination more effective [1,33].…”

Section: Research Into the Methods And Models On Innovation Project Ementioning

confidence: 99%

“…Consider a budget system as a programmable control system able to respond to change fulfill the movement program and to find the best solution to the given control task [6,[33][34][35][36]. Consider a budget system as a programmable control system able to respond to change fulfill the movement program and to find the best solution to the given control task [6,[33][34][35][36].…”

Section: General Statement Of the Problem Of Budget Mechanism Controlmentioning

confidence: 99%

“…The model of the object of modeling, i.e., the budget system S, may be expressed as a set of quantities describing the process of a real system functioning, and in general forming the following subsets [12,28,33,34]:…”

Section: System Approach To the Mathematical Model Of Budget Mechanismmentioning

confidence: 99%

“…The task in allocation of budget resources, i.e., in developing a plan for dividing these resources among expenditure items, is to enable socio-economic development for the main macroeconomic indicators up to the desired level of the basic development scenario [6,[33][34][35][36]. The optimal distribution of budget resources is realized according to the priority directions and general concept of socio-economic development for the middle-term planning period.…”

Section: A Model Of Program Control Of the Expenditure Budget Partmentioning

confidence: 99%

See 3 more Smart Citations

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Mutanov

2015

View full text Add to dashboard Cite

“…It would be practicable to have a Decision Support System in order to make the comprehensive method of project examination more effective [1,33].…”

Section: Research Into the Methods And Models On Innovation Project Ementioning

confidence: 99%

Section: General Statement Of the Problem Of Budget Mechanism Controlmentioning

confidence: 99%

Section: System Approach To the Mathematical Model Of Budget Mechanismmentioning

confidence: 99%

Section: A Model Of Program Control Of the Expenditure Budget Partmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Mutanov

2015

View full text Add to dashboard Cite

“…formulation of the steady-state flexibility index, [4,5] further methods were developed. In the context of this contribution the dynamic flexibility index, [6] the temporal flexibility index, [7] and the stochastic flexibility index [8,9] should be highlighted. Those methods were applied to chemical engineering systems along various time and length scales, from single unit operations, [6,10] to heat exchanger networks [11,12] and processes [13][14][15][16][17] as well as supply chain and logistics.…”

Section: Introductionmentioning

confidence: 99%

A systematic approach to define flexibility in chemical engineering

Bruns

Herrmann

Polyakova

et al. 2020

J Adv Manuf & Process

View full text Add to dashboard Cite

Increasing economic and environmental challenges leads to the need for changes in the chemical industry. In this context, a promising approach is utilizing flexible apparatuses and flexible plants to react to changing boundary conditions. However, the concept of flexibility in chemical engineering, which originated in manufacturing, still lacks a comprehensive organization and categorization of different types of flexibility. Thus, in this work, the origin of flexibility in manufacturing is traced, and a literature overview on flexibility in chemical engineering is provided. Based on a subsequent cluster analysis, four types of flexibility are identified and defined. Furthermore, this work enables research on flexibility to be integrated into a general and consistent definition of flexibility. The definitions are applied to examples from literature to achieve comparability. While enabling the qualitative assessment of flexibility, this work identifies open research gaps regarding the quantification of flexibility.

show abstract

Analytical and triangular solutions to operational flexibility analysis using quantifier elimination

Zhao

Chen

2018

AIChE Journal

View full text Add to dashboard Cite

The main purpose of operational flexibility analysis is to determine and describe the flexibility region. The existing methods are mainly developed by numerical calculation methods to estimate the contour of the flexibility region. In this article, a novel method is proposed for solving operational flexibility models described by polynomials. The proposed method can accurately describe the flexibility region and explicitly express the functional relationships between uncertain parameters and control variables. First, the original flexibility analysis model is represented as an existential quantifier formula. Then, a technique of quantifier elimination is introduced to deduce the formula to a series of explicitly triangular quantifier‐free formulas. Last, a logical combination of the quantifier‐free formulas can be used to depict the complete flexibility region. The case studies show that the deduced explicit expressions can accurately and effectively describe the flexibility region and guide the steady‐state control operations, regardless of convex or nonconvex systems. © 2018 American Institute of Chemical Engineers AIChE J, 64: 3894–3911, 2018

show abstract

A mathematical programming formulation for temporal flexibility analysis

Cited by 19 publications

References 55 publications

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Mathematical Methods and Models in Economic Planning, Management and Budgeting

A systematic approach to define flexibility in chemical engineering

Analytical and triangular solutions to operational flexibility analysis using quantifier elimination

Contact Info

Product

Resources

About