Mines de Nantes Master MOST 2012-2013 Olivier Péton - 1- Problem Min f ( x ) xS An optimization problem S is the solution set that represents all feasible solutions of a problem. f is the objective function that maps S to R. It evaluates each feasible solution. Also called evaluation function or cost function Minimization = maximization ! max f ( x) min ( f ( x)) xS xS - 2- Mathematical modeling 1. Decision Variables x1‚…‚xn A solution = a value for
Premium Computational complexity theory Graph theory Optimization
The bar chart illustrates the unemployment rate in Germany compared to the unemployment rate in Ireland. The y-axis shows the rate of unemployment which is defined by the number of unemployed persons as a percentage of the labor force. On the x-axis you can read the year. In 2000‚ 8 per cent of the German workforce was unemployed‚ which was twice as high as Ireland. Unemployment in Germany declined slightly in 2001. However‚ after this the unemployment rate rose steadily over the next four years
Premium Unemployment United States
Essential Graphs for Microeconomics Basic Economic Concepts ( Production Possibilities Curve Nature & Functions of Product Markets ( Demand and Supply: Market clearing equilibrium (Floors and Ceilings (Consumer and Producer Surplus (Effect of Taxes Theory of the Firm (Short Run Cost (Long Run Cost
Premium Economics Supply and demand Microeconomics
well as a copy of the possible ban the city council will be voting on soon. Amendment to the Regulation of Individual Conduct and Activity Skateboarding on Public Property The City Council of Jerrytown hereby ordains: Skateboarding on Public Property 1. No Person shall use a skateboard in any of the following areas: a. the area bounded by Smith Street‚ Broad Street‚ Ninth Avenue‚ and Martin Luther King‚ Jr. Boulevard; b. on public property unless use of a skateboard is authorized by the governmental
Premium Skateboarding Park
Financial Management FNCE90060 Semester 1‚ 2015 Workshop 5 6-6. Suppose a 10-year‚ $1000 bond with an 8% coupon rate and semiannual coupons is trading for a price of $1034.74. a. What is the bond’s yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond’s yield to maturity changes to 9% APR‚ what will the bond’s price be? 6-10. Suppose a seven-year‚ $1000 bond with an 8% coupon rate and semiannual coupons is trading with a yield to maturity of 6.75%. a. Is this bond
Premium Bond Finance Yield
tructureResearch on Graphs in Data Structure Source: http://www.algolist.net/Algorithms/Graph/Undirected/Depth-first_search Introduction to graphs Graphs are widely-used structure in computer science and different computer applications. We don’t say data structurehere and see the difference. Graphs mean to store and analyze metadata‚ the connections‚ which present in data. For instance‚ consider cities in your country. Road network‚ which connects them‚ can be represented as a graph and then analyzed
Premium Graph theory
Introduction in Graph Theory (BASIC CONCEPTS) BASIC CONCEPTS We used decision trees in Unit DT and used them to study decision making. However‚ we did not look at their structure as trees. In fact‚ we didn’t even define a tree precisely. What is a tree? It is a particular type of graph‚ which brings us to the subject of this unit. What is a Graph? There are various types of graphs‚ each with its own definition. Unfortunately‚ some people apply the term “graph” rather loosely‚ so
Premium Graph theory Binary relation
Graphs - Introduction Terminology Graph ADT Data Structures Reading: 12.1-12.2 COSC 2011‚ Summer 2004 Definition • A graph is a pair (V‚ E)‚ where – V is a set of nodes‚ called vertices – E is a collection of pairs of vertices‚ called edges • Both are objects (i.e. store data) G E B F A Vertex city computer web page airport C D COSC 2011‚ Summer 2004 H Edge road cable hyperlink flight Example Applications • • • • • Electronic circuits – Printed circuit board – Integrated circuit Transportation
Premium Graph theory
Case Write-up Week 1 1. Supply Chain 2. Who are the various customers for textbooks? What do these customers want in terms of goods and services related to textbooks? From the publisher’s point of view‚ who is the critical customer? The various customers are professors‚ students‚ bookstores‚ schools‚ and online retailers. The customers want “on demand” accessibility‚ flexibility‚ and more content in the textbooks. The professors are the critical customer because they directly impact the
Premium Retailing Logistics Online shopping
DESCRIBING GRAPHS AND CHARTS The function of a line graph is to describe a TREND pictorially. You therefore should try and describe the trend in it. If there are many lines in the graph(s)‚ then just generally describe the trend. If there is only one or two‚ then use more detail. So‚ describe the movement of the line(s) of the graph giving numerical detail at the important points of the line. To describe the movement‚ there is some language which will always be useful. Below is a list of language
Premium