Abdeljalil Nachaoui - Mathematical Control and Numerical Applications: JANO13, Khouribga, Morocco, February 22–24, 2021
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- Book:Mathematical Control and Numerical Applications: JANO13, Khouribga, Morocco, February 22–24, 2021
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Mathematical Control and Numerical Applications: JANO13, Khouribga, Morocco, February 22–24, 2021: summary, description and annotation
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This book presents some sufficient mathematical content with expressive result. The aim of JANO13 is to bring together scientists to discuss their research in all the aspects of mathematics and their applications to different scientific discipline. The main topics of the conference is partial differential equations, mathematical control, numerical analysis and computer science. The conference is interested in recent developments on numerical analysis and real applications in computer science. The latter is viewed as a dynamic branch on the interface of mathematics and informatics that has been growing rapidly over the past several decades. However, its mathematical modelling and interpretation are still not well-explained and need much more clarifications. The main contributions of this book are to give some sufficient mathematical content with expressive results. As a growing field, it is gaining a lot of attention both in media and in the industry world, which will attract the interest of readers from different scientist disciplines.
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This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
This Springer imprint is published by the registered company Springer Nature Switzerland AG
The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This book contains a collection of selected papers presented at the Numerical Analysis and Optimization Days (JANO13), held in Khouribga, Morocco, from 22 to 24 February 2021. The book focuses on topics related to mathematical control and numerical applications. This volume covers new trends and advances in several very important fields of mathematical modelling and recent developments in new numerical approximation methods. The relevance of these topics is particularly related to the study of approximation parameters, sources separation and partial differential equations (PDEs) approximations related to image processing applications. All contributing authors are eminent researchers and scholars in their respective fields, hailing from around the world. The information given in this book will be of value to the work of researchers, scientists and engineers in the fields of both academia and industry.
Vehicle routing problems are subject to massive investigations in operations research. We address in this presentation a specific variant of the problem called in the literature vehicle routing problem with flexible time windows (VRPFlexTW), when the solution has to obey several other constraints, such as the consideration of travel, service, and waiting times together with time-window restrictions. An interesting wildly used algorithm is the Adaptive Large Neighbourhood Search (ALNS), we describe the ALNS approach and its different components and we list a computational comparison between the ALNS and the Ant colony optimiser (ACO) on few instances of the VRPFlexTW.
The Vehicle Routing Problem (VRP) is described as the problem of finding an optimal collection of routes from one or several depots to a predetermined number of scattered locations subject to side constraints enforcing some given importance criteria relative to cost, time, distance or a combination of these quantities. The basic version of the VRP problem is an extension of the Travelling Salesman problem []. At its basic form, a VRP can be viewed as: a fleet of vehicles located at a central depot, that must ensure tours between several customers who have requested a certain merchandise or service. The set of customers visited by a vehicle refers to its tour and each tour starts and ends at the central depot. Each customer must be served once and only once and by one and only one vehicle. The objective of the standard VRP model is to minimize the sum of the distances travelled or the total travel time of vehicle rounds while meeting customer demand.
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