I was very happy to receive the invitation to guest-edit an issue of `Directions' devoted to the exciting field of Optimization. Along with the excitement, I realized it would not be a simple task particularly after the publication of a number of successful issues of Directions, including the past two entitled `Biological sciences and bioengineering' and `Nanoscience and nonotechnology'. Fortunately, my initial apprehensions disappeared quickly by the overwhelming interest and response from my colleagues to contribute to this issue.
 
Although the earlier issues of Directions gave a glorious overview of new and emerging activities of IIT Kanpur, this issue on Optimization is significant due to the contributions from past and present. I was told by my senior colleagues that the teaching and research on optimization in India started since the birth of this institute and IIT Kanpur was the pioneer in starting and promoting this field in India. With a pioneering past, IIT Kanpur has, over the years and leading to the present, maintained and continued its interest in teaching, research, and publications on optimization. Thus, this issue on Optimization is pertinent to the activities of IIT Kanpur and I am glad that the advisory board of Directions has chosen this as a topic.
 
Articles of this issue reflect a wide spectrum of optimization methods available today. Starting from the derivative-based methods, articles cover state-of-the-art optimization methods, such as genetic algorithms, differential evolution, neural networks, etc. For a better feel of the importance of optimization in practice, the articles cover a wide variety of engineering application areas. However, the nature and domain of optimization
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