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Book Cover
E-book
Author Teodorović, Dusan

Title Quantitative Methods in Transportation
Published Milton : Taylor & Francis Group, 2020

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Description 1 online resource (481 p.)
Contents Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Authors -- Chapter 1 Mathematical programming -- 1.1 Linear programming in traffic and transportation -- 1.2 The simplex method -- 1.3 Integer and mixed-integer programming -- 1.3.1 Branch-and-bound method -- 1.4 Dynamic programming -- 1.4.1 Forward and backward recursive equation -- Bibliography -- Chapter 2 Optimal paths -- 2.1 Transportation networks basics -- 2.2 Finding the shortest path in a transportation network -- 2.2.1 Dijkstra's algorithm
2.2.2 Shortest paths between all pairs of nodes -- Bibliography -- Chapter 3 Multi-attribute decision-making -- 3.1 Multi-attribute decision-making (MADM) methods -- 3.1.1 The common characteristics of MADM problems -- 3.1.2 Normalization of the attribute values -- 3.1.3 Attribute weights -- 3.1.4 Dominance -- 3.1.5 Maximin -- 3.1.6 Maximax -- 3.1.7 Conjunctive method -- 3.1.8 Disjunctive method -- 3.1.9 Lexicographic method -- 3.1.10 Simple additive weighting method (SAW) -- 3.1.11 TOPSIS -- 3.2 Data envelopment analysis (DEA) -- Bibliography -- Chapter 4 Probability theory
4.1 Sample space, events, Venn diagrams and the algebra of events -- 4.2 Probability of a random event -- 4.3 Conditional probability -- 4.4 Bayes' formula -- 4.5 Random variables and probability distributions -- 4.5.1 Distribution shape -- 4.5.2 Measures of central tendency -- Mean -- 4.5.3 Measures of variability -- Variance -- 4.5.4 Bernoulli distribution -- 4.5.5 Binomial distribution -- 4.5.6 Geometric distribution -- 4.5.7 Negative binomial distribution -- 4.5.8 Poisson distribution -- 4.5.9 Uniform distribution -- 4.5.10 Exponential distribution -- 4.5.11 Erlang distribution
4.5.12 Normal distribution -- Bibliography -- Chapter 5 Statistics -- 5.1 Population and sample -- 5.2 Descriptive statistics: ways to describe a data set -- 5.2.1 Describing a data set by pictures -- Pie charts -- Bar graphs -- Time charts -- Scatter diagrams -- Frequency polygons -- Histograms -- Relative frequencies -- Cumulative frequency graph -- 5.2.2 Describing a data set by numbers -- Mean -- Median -- Mode -- Measures of variability -- 5.3 Inferential statistics -- 5.3.1 Sampling distributions -- Sampling distribution of the sample means -- Sampling distribution of the sample proportion
5.3.2 Parameter estimation -- Maximum likelihood method -- 5.3.3 Confidence intervals -- Confidence interval for the mean with a known variance -- Confidence interval fora population proportion -- Confidence interval for the difference of two means -- Confidence interval for the difference between two proportions -- 5.3.4 Testing of a statistical hypothesis -- Testing a hypothesis about the population mean -- Testing one population proportions -- Comparing two population means -- The chi-squared test -- 5.4 Correlation and regression
Notes Description based upon print version of record
5.4.1 Estimation of the regression coefficients by the least squares method
Form Electronic book
Author Nikolić, Milos
ISBN 9781000097702
1000097706