
Analytical Solutions to Fragmentation Equations with Flow
... systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple breakup rates. We consider both continuous and discrete systems. The population balance equation PBE for continuous breakup processes, such as droplet breakup, have been considered ofte ...
... systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple breakup rates. We consider both continuous and discrete systems. The population balance equation PBE for continuous breakup processes, such as droplet breakup, have been considered ofte ...
Schoenfeld (1992) Learning to think Mathematically: Problem
... Why are you doing it? How does it fit into the solution? How does it help you? What will you do with the outcome when you obtain it? Another study by Lester, Garofalo & Kroll (1989) on metacognition: the goal of their class intervention was to foster students’ metacognitive development. They had the ...
... Why are you doing it? How does it fit into the solution? How does it help you? What will you do with the outcome when you obtain it? Another study by Lester, Garofalo & Kroll (1989) on metacognition: the goal of their class intervention was to foster students’ metacognitive development. They had the ...
Geometry and Measures
... Multiples , Factors and prime factors Multiply and Divide using known facts Number Patterns Square number and square roots Multiply numbers up to 4 digits by 1 or 2 digit numbers using grid or formal written method. Problem Solving using multiplication. Properties of a square and rectangle - diagona ...
... Multiples , Factors and prime factors Multiply and Divide using known facts Number Patterns Square number and square roots Multiply numbers up to 4 digits by 1 or 2 digit numbers using grid or formal written method. Problem Solving using multiplication. Properties of a square and rectangle - diagona ...
MATH4530–Topology. HW5 solutions
... Please declare any collaborations with classmates; if you find solutions in books or online, acknowledge your sources in either case, write your answers in your own words. Please attempt all questions and justify your answers. ...
... Please declare any collaborations with classmates; if you find solutions in books or online, acknowledge your sources in either case, write your answers in your own words. Please attempt all questions and justify your answers. ...
Fulltext PDF - Indian Academy of Sciences
... This section of Resonance is meant to raise thought-provoking, interesting, or just plain brain-teasing questions every month, and discuss answers a few months later. Readers are welcome to send in suggestions for such questions, solutions to questions already posed, comments on the solutions discus ...
... This section of Resonance is meant to raise thought-provoking, interesting, or just plain brain-teasing questions every month, and discuss answers a few months later. Readers are welcome to send in suggestions for such questions, solutions to questions already posed, comments on the solutions discus ...
Delay Differential Equations
... The DDEs are coded in a straightforward way using a global variable state which is sign(y1 (t)). Parameters would be defined in the main program for parameter studies. We could write Z(1) here instead of Z(1,1). function yp = ddes(t,y,Z) ...
... The DDEs are coded in a straightforward way using a global variable state which is sign(y1 (t)). Parameters would be defined in the main program for parameter studies. We could write Z(1) here instead of Z(1,1). function yp = ddes(t,y,Z) ...
Multi-Objective Optimization Using Genetic Algorithms
... certain amount of sacrifice in one objective to achieve a certain amount of gain in the other. Pareto optimal solution sets are often preferred to single solutions because they can be practical when considering real-life problems, since the final solution of the decision maker is always a trade-off ...
... certain amount of sacrifice in one objective to achieve a certain amount of gain in the other. Pareto optimal solution sets are often preferred to single solutions because they can be practical when considering real-life problems, since the final solution of the decision maker is always a trade-off ...
Pergamon - University of Colorado Boulder
... To better understandthe role of diversification,and the consequencesof alternatives for defining what "diversification" means,we presenta method for solving the QAP that relies almost entirely on diversification strategies.Although we do not propose that diversification strategiesalone can provide t ...
... To better understandthe role of diversification,and the consequencesof alternatives for defining what "diversification" means,we presenta method for solving the QAP that relies almost entirely on diversification strategies.Although we do not propose that diversification strategiesalone can provide t ...
Multiple-criteria decision analysis

Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.