Creativity in Multi Objective Problem Solving

Author(s):  
Mohamed E. M. El-Sayed ◽  
Jacqueline A. J. El-Sayed

Problem solving is one of the main activities in achieving design and research goal. While problem solving in general is an activity aiming at transforming unacceptable state of reality to acceptable state of reality, problem solving in engineering is usually a means for tackling other activities such as design and research. By breaking down design and research into a set of engineering problem solving activities, the goals of complicated design and research projects can be achieved. For this reason, the transitions from design or research to problem solving in some cases are unidentifiable. The identification of the problem solving activity goals and the transition between the three activities, however, are essentials for creativity and achieving the desired objectives especially when dealing with conflicting objectives and constraints. In this paper, design, research, and problem solving are distinguished as realization activities performed in different reality domains with different beginning and ending states. These three activities use modeling and simulation as basic elements of mapping between realities to perform analysis and integration. While analysis and simulation are mainly the analytical actions, modeling and integration are mainly the creative actions. With these distinctions, the identification of problem solving activity goals, and transitions between activities, can be easily realized. Also, creativity and dealing with conflicting objectives can be greatly facilitated. To demonstrate these concepts and their implications some illustrative examples are discussed.

Author(s):  
Norasyikin Omar ◽  
◽  
Mimi Mohaffyza Mohamad ◽  
Marina Ibrahim Mukhtar ◽  
Aini Nazura Paimin ◽  
...  

2010 ◽  
Vol 18 (3) ◽  
pp. 403-449 ◽  
Author(s):  
Kalyanmoy Deb ◽  
Ankur Sinha

Bilevel optimization problems involve two optimization tasks (upper and lower level), in which every feasible upper level solution must correspond to an optimal solution to a lower level optimization problem. These problems commonly appear in many practical problem solving tasks including optimal control, process optimization, game-playing strategy developments, transportation problems, and others. However, they are commonly converted into a single level optimization problem by using an approximate solution procedure to replace the lower level optimization task. Although there exist a number of theoretical, numerical, and evolutionary optimization studies involving single-objective bilevel programming problems, not many studies look at the context of multiple conflicting objectives in each level of a bilevel programming problem. In this paper, we address certain intricate issues related to solving multi-objective bilevel programming problems, present challenging test problems, and propose a viable and hybrid evolutionary-cum-local-search based algorithm as a solution methodology. The hybrid approach performs better than a number of existing methodologies and scales well up to 40-variable difficult test problems used in this study. The population sizing and termination criteria are made self-adaptive, so that no additional parameters need to be supplied by the user. The study indicates a clear niche of evolutionary algorithms in solving such difficult problems of practical importance compared to their usual solution by a computationally expensive nested procedure. The study opens up many issues related to multi-objective bilevel programming and hopefully this study will motivate EMO and other researchers to pay more attention to this important and difficult problem solving activity.


Author(s):  
Joel Mieske ◽  
Martin Scherer ◽  
Mary Wells

Engineering and leadership go hand in hand for many within the engineering profession and throughout undergraduate studies. Students are challenged to work in teams, self-assign tasks, manage team members, set deadlines and see projects to completion. The Waterloo engineering Catalyst High School Summer Leadership Program (Catalyst) aligns specifically with the engineering knowledge base, problem analysis, investigation, design, lifelong learning and communication outcomes outlined by the Canadian Engineering Accreditation Board (CEAB). Catalyst was developed to link engineering problem solving and design with leadership skills.Catalyst students are engaged to develop both soft and hard skills in an effort to display the multitude of connections, benefits and opportunities available to students entering their undergraduate studies. More and more entrepreneurship, design and effective group leadership are all becoming essential traits and skills for students entering the workforce as well for those taking the leap to dream, market, build and succeed with their own ideas or products.Over the past three years, the summer leadership program has grown through trial, feedback and collaborative brainstorming to offer a four-week program that focuses on leadership skills, design, research exposure and entrepreneurship. Through hands-on design thinking and problem solving projects, entrepreneurial group study and by offering leadership experience in a controlled setting a new type of high school student emerges. One who is prepared, excited and inspired to get involved, try, fail and challenge themselves and their peers to create change and solve problems facing their generation.


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