Examining the Performance of Heuristics for the Disassemble-to-Order Problem under Rolling Planning using Actual Product Structures

2009 ◽  
Author(s):  
Tobias Schulz ◽  
Ian M. Langella
Keyword(s):  
Order Problem ◽  
Rolling Planning ◽  
Product Structures

scholarly journals Fractional Order of Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1395
Author(s):  
Charles Castaing ◽  
Christiane Godet-Thobie ◽  
Le Xuan Truong
Keyword(s):  
Fractional Order ◽  
Monotone Operator ◽  
Maximal Monotone Operator ◽  
Separable Hilbert Space ◽  
Maximal Monotone ◽  
Fractional Flow ◽  
Order Problem ◽  
Absolutely Continuous ◽  
State Dependent ◽  
Fractional Differential

This paper is devoted to the study of evolution problems involving fractional flow and time and state dependent maximal monotone operator which is absolutely continuous in variation with respect to the Vladimirov’s pseudo distance. In a first part, we solve a second order problem and give an application to sweeping process. In a second part, we study a class of fractional order problem driven by a time and state dependent maximal monotone operator with a Lipschitz perturbation in a separable Hilbert space. In the last part, we establish a Filippov theorem and a relaxation variant for fractional differential inclusion in a separable Banach space. In every part, some variants and applications are presented.

scholarly journals Onset of Convection in Two-Dimensional Porous Cavities with Open and Conducting Boundaries

2021 ◽  
Vol 136 (3) ◽  
pp. 791-812
Author(s):  
Peder A. Tyvand ◽  
Jonas Kristiansen Nøland
Keyword(s):  
Critical Rayleigh Number ◽  
Numerical Results ◽  
Temperature Perturbation ◽  
Two Dimensional ◽  
Onset Of Convection ◽  
Order Problem ◽  
Fourth Order Problem ◽  
Thermally Conducting ◽  
Perturbation Pressure ◽  
Special Case

AbstractThe onset of thermal convection in two-dimensional porous cavities heated from below is studied theoretically. An open (constant-pressure) boundary is assumed, with zero perturbation temperature (thermally conducting). The resulting eigenvalue problem is a full fourth-order problem without degeneracies. Numerical results are presented for rectangular and elliptical cavities, with the circle as a special case. The analytical solution for an upright rectangle confirms the numerical results. Streamlines penetrating the open cavities are plotted, together with the isotherms for the associated closed thermal cells. Isobars forming pressure cells are depicted for the perturbation pressure. The critical Rayleigh number is calculated as a function of geometric parameters, including the tilt angle of the rectangle and ellipse. An improved physical scaling of the Darcy–Bénard problem is suggested. Its significance is indicated by the ratio of maximal vertical velocity to maximal temperature perturbation.

Kinetic Study of the Hydrothermal Carbonization Reaction of Glucose and Its Product Structures

2021 ◽  
Vol 60 (12) ◽  
pp. 4552-4561
Author(s):  
Qian He ◽  
Yuxiu Yu ◽  
Jie Wang ◽  
Xidong Suo ◽  
Yaodong Liu
Keyword(s):  
Kinetic Study ◽  
Hydrothermal Carbonization ◽  
Product Structures

Critical Thinking and Reflective Learning in the Marketing Education Literature: A Historical Perspective and Future Research Needs

2018 ◽  
Vol 40 (2) ◽  
pp. 101-116 ◽  
Author(s):  
Andrew J. Dahl ◽  
James W. Peltier ◽  
John A. Schibrowsky
Keyword(s):  
Critical Thinking ◽  
Reflective Learning ◽  
Future Research ◽  
Research Needs ◽  
Order Problem ◽  
Problem Solving Skills ◽  
Education Literature ◽  
Marketing Education ◽  
Education Journal ◽  
Higher Order Problem

Marketing educators have long espoused the importance of critical thinking as a means of developing students’ higher-order problem-solving skills. In this article, we utilize an historical approach to investigate how educators have defined, operationalized, and empirically evaluated the critical thinking construct. To accomplish this, we review the critical thinking literature from three prominent marketing education journals and the leading management education journal. In doing so, we summarize extant critical thinking research across varied pedagogical topics, review empirical findings, and present a conceptual framework for motivating future research.

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

2012 ◽  
Vol 7 (2) ◽  
Author(s):  
Om P. Agrawal ◽  
M. Mehedi Hasan ◽  
X. W. Tangpong
Keyword(s):  
Analytical Solutions ◽  
Numerical Scheme ◽  
Fractional Derivatives ◽  
Optimization Problems ◽  
Practical Interest ◽  
Variational Calculus ◽  
Functional Minimization ◽  
Orthogonal Functions ◽  
Order Problem ◽  
Parametric Problem

Fractional derivatives (FDs) or derivatives of arbitrary order have been used in many applications, and it is envisioned that in the future they will appear in many functional minimization problems of practical interest. Since fractional derivatives have such properties as being non-local, it can be extremely challenging to find analytical solutions for fractional parametric optimization problems, and in many cases, analytical solutions may not exist. Therefore, it is of great importance to develop numerical methods for such problems. This paper presents a numerical scheme for a linear functional minimization problem that involves FD terms. The FD is defined in terms of the Riemann-Liouville definition; however, the scheme will also apply to Caputo derivatives, as well as other definitions of fractional derivatives. In this scheme, the spatial domain is discretized into several subdomains and 2-node one-dimensional linear elements are adopted to approximate the solution and its fractional derivative at point within the domain. The fractional optimization problem is converted to an eigenvalue problem, the solution of which leads to fractional orthogonal functions. Convergence study of the number of elements and error analysis of the results ensure that the algorithm yields stable results. Various fractional orders of derivative are considered, and as the order approaches the integer value of 1, the solution recovers the analytical result for the corresponding integer order problem.

Clinical Decision Processes and Criteria for Social Validity

1983 ◽  
Vol 53 (3) ◽  
pp. 775-778 ◽  
Author(s):  
Richard W. Millard ◽  
Ian M. Evans
Keyword(s):  
Graduate Students ◽  
Problem Solving ◽  
Decision Process ◽  
Social Validity ◽  
Clinical Decision ◽  
Decision Processes ◽  
Order Problem ◽  
Dangerous Behavior ◽  
Fixed Order ◽  
Parametric Analyses

A sample of 12 clinical psychologists and 12 graduate students in clinical psychology performed an analogue task to investigate decision processes with respect to the judged salience of criteria for social validity. Six child cases were considered by all; each card contained information describing a dangerous behavior, information accompanied by an explicit normative refererence, the same information without a normative reference, or unrelated filler comments. Non-parametric analyses indicated that subjects consistently evaluated information about dangerous behavior as being more serious than any other concern; dangerousness was ranked first 94.4% of the time. Subjects did not distinguish between information with explicit normative referents and the same information without any such referents. Students and clinicians did not differ in their response to these categories of information. The results demonstrate the application of a fixed-order problem-solving method to study the clinical-decision process and suggest the importance of criteria for social validity in this sequence.

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