The Capacitated Arc Routing Problem (CARP) is a representative NP-Hard combinatorial optimization problem (Mourão et al. 2005; Mourgaya et al.‚ 2007; Shang et al. 2014; Han et al. 2004)‚ which has been widely applied in real life‚ such as: the path planning of municipal waste cleanup (Teixeira‚ et al. 2004; Rosa et al. 2002)‚ the path planning of sprinkler (Handa et al. 2006)‚ mail delivery planning (Lu et al.‚ 2006; Araoz et al. 2006)‚ salt spreader path planning (Muyldermans et al.‚ 2002)‚ school
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ANT COLONY OPTIMIZATION FOR ROUTING IN WIRELESS SENSOR NETWORKS A SEMINAR REPORT Submitted In partial fulfillment for the requirement for the award of the Degree of MASTER OF TECHNOLOGY IN INFORMATION TECHNOLOGY Under the guidance of Submitted By Mr. ASHISH PAYAL MEHAK KHURANA Assistant Professor TABLE OF CONTENTS Chapter
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decision making process for different strategies‚ but after taking Operations Research‚ I know that I am better equipped to understand and formulate optimal implementation solutions. This case uses mixed integer programming‚ and to solve the optimization problems‚ I used LINGO 11.1. Case Background We have been given the implementation schedule‚ as follows: Month Department Month 1 None Month 2 Sales Month 3 Manufacturing Month 4 Warehouse Month 5 Marketing In month
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Yinyu Ye‚ MS&E‚ Stanford MS&E310 Lecture Note #05 1 The Simplex Method Yinyu Ye Department of Management Science and Engineering Stanford University Stanford‚ CA 94305‚ U.S.A. http://www.stanford.edu/˜yyye (LY‚ Chapters 2.3-2.5‚ 3.1-3.4) Yinyu Ye‚ MS&E‚ Stanford MS&E310 Lecture Note #05 2 Geometry of linear programming Consider maximize subject to x1 x1 +2x2 ≤1 x2 ≤1 ≤ 1.5 ≥ 0. +x2 x2 x1 x1 ‚ Yinyu Ye‚ MS&E‚ Stanford MS&E310 Lecture Note #05 3
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Samkhya is one of the six schools of classical Indian philosophy. Sage Kapila is traditionally considered as the founder of the Samkhya school. It is regarded as one of the oldest philosophical systems in India. Samkhya was one of the six orthodox systems (astika‚ those systems that recognize vedic authority) of Hindu philosophy. The major text of this Vedic school is the extant Samkhya Karika. There are no purely Sankhya schools existing today in Hinduism‚ but its influence is felt in the Yoga and
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Applications of algebra in daily life What Is Algebra and Its Role in the Real World? Algebra is a field of mathematics. Usually‚ students in high school or elementary will be the first ones who will experience this subject. Most of them will say that it is probably one of the hardest and complicated subjects there is. Well‚ anything that is connected to Mathematics could really be. When someone will say the word Algebra out loud‚ numbers and equations will immediately pop into ones mind. What
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Mathematical Happenings Rayne Charni MTH 110 April 6‚ 2015 Prof. Charles Hobbs Mathematical Happenings Greek mathematicians from the 7th Century BC‚ such as Pythagoras and Euclid are the reasons for our fundamental understanding of mathematic science today. Adopting elements of mathematics from both the Egyptians and the Babylonians while researching and added their own works has lead to important theories and formulas used for all modern mathematics and science. Pythagoras was born in Samon Greece
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Mathematical Connection Mathematics has had an incredible impact on technology as we know it today. Understanding this impact aids in understanding the history of how technology has developed so thoroughly and what significant events happened to facilitate such an advanced society. A better understanding can be derived by analyzing the historical background on the mathematicians‚ the time periods‚ and the contributions that affected their society and modern society as well as specific examples
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Portfolio optimization - a practical approach Andrzej Palczewski Institute of Applied Mathematics Warsaw University June 29‚ 2008 1 Introduction The construction of the best combination of investment instruments (investment portfolio) is a principal goal of investment policy. This is an optimization problem: select the best portfolio from all admissible portfolios. To approach this problem we have to choose the selection criterion first. The seminal paper of Markowitz [8] opened a new era
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Optimization methods in portfolio management and option hedging ∗ Huyˆn PHAM e Laboratoire de Probabilit´s et e Mod`les Al´atoires e e CNRS‚ UMR 7599 Universit´ Paris 7 e e-mail: pham@math.jussieu.fr and Institut Universitaire de France April 24‚ 2007 Abstract These lecture notes give an introduction to modern‚ continuous-time portfolio management and option hedging. We present the stochastic control method to portfolio optimization‚ which covers Merton’s pioneering work. The
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