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Todorov T, Georgiev M (2015). Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev’s metric. Logistics Journal : referierte Veröffentlichungen, Vol. 2015. (urn:nbn:de:0009-14-41611)

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%0 Journal Article
%T Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev’s metric
%A Todorov, Todor
%A Georgiev, Marin
%J Logistics Journal : referierte Veröffentlichungen
%D 2015
%V 2015
%N 05
%@ 1860-7977
%F todorov2015
%X Geometrical dependencies are being researched for analytical representation of the probability density function (pdf) for the travel time between a random, and a known or another random point in Tchebyshev’s metric. In the most popular case - a rectangular area of service - the pdf of this random variable depends directly on the position of the server. Two approaches have been introduced for the exact analytical calculation of the pdf: Ad-hoc approach – useful for a ‘manual’ solving of a specific case; by superposition – an algorithmic approach for the general case. The main concept of each approach is explained, and a short comparison is done to prove the faithfulness.
%L 620
%K Tchebyshev metrics
%K isochrones
%K probability density function
%K random trip
%K travel time
%R 10.2195/lj_Rev_todorov_en_201505_01
%U http://nbn-resolving.de/urn:nbn:de:0009-14-41611
%U http://dx.doi.org/10.2195/lj_Rev_todorov_en_201505_01
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@Article{todorov2015,
  author = 	"Todorov, Todor
		and Georgiev, Marin",
  title = 	"Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev's metric",
  journal = 	"Logistics Journal : referierte Ver{\"o}ffentlichungen",
  year = 	"2015",
  volume = 	"2015",
  number = 	"05",
  keywords = 	"Tchebyshev metrics; isochrones; probability density function; random trip; travel time",
  abstract = 	"Geometrical dependencies are being researched for analytical representation of the probability density function (pdf) for the travel time between a random, and a known or another random point in Tchebyshev's metric. In the most popular case - a rectangular area of service - the pdf of this random variable depends directly on the position of the server. Two approaches have been introduced for the exact analytical calculation of the pdf: Ad-hoc approach -- useful for a `manual' solving of a specific case; by superposition -- an algorithmic approach for the general case. The main concept of each approach is explained, and a short comparison is done to prove the faithfulness.",
  issn = 	"1860-7977",
  doi = 	"10.2195/lj_Rev_todorov_en_201505_01",
  url = 	"http://nbn-resolving.de/urn:nbn:de:0009-14-41611"
}
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RIS

TY  - JOUR
AU  - Todorov, Todor
AU  - Georgiev, Marin
PY  - 2015
DA  - 2015//
TI  - Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev’s metric
JO  - Logistics Journal : referierte Veröffentlichungen
VL  - 2015
IS  - 05
KW  - Tchebyshev metrics
KW  - isochrones
KW  - probability density function
KW  - random trip
KW  - travel time
AB  - Geometrical dependencies are being researched for analytical representation of the probability density function (pdf) for the travel time between a random, and a known or another random point in Tchebyshev’s metric. In the most popular case - a rectangular area of service - the pdf of this random variable depends directly on the position of the server. Two approaches have been introduced for the exact analytical calculation of the pdf: Ad-hoc approach – useful for a ‘manual’ solving of a specific case; by superposition – an algorithmic approach for the general case. The main concept of each approach is explained, and a short comparison is done to prove the faithfulness.
SN  - 1860-7977
UR  - http://nbn-resolving.de/urn:nbn:de:0009-14-41611
DO  - 10.2195/lj_Rev_todorov_en_201505_01
ID  - todorov2015
ER  -
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Wordbib

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ISI

PT Journal
AU Todorov, T
   Georgiev, M
TI Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev’s metric
SO Logistics Journal : referierte Veröffentlichungen
PY 2015
VL 2015
IS 05
DI 10.2195/lj_Rev_todorov_en_201505_01
DE Tchebyshev metrics; isochrones; probability density function; random trip; travel time
AB Geometrical dependencies are being researched for analytical representation of the probability density function (pdf) for the travel time between a random, and a known or another random point in Tchebyshev’s metric. In the most popular case - a rectangular area of service - the pdf of this random variable depends directly on the position of the server. Two approaches have been introduced for the exact analytical calculation of the pdf: Ad-hoc approach – useful for a ‘manual’ solving of a specific case; by superposition – an algorithmic approach for the general case. The main concept of each approach is explained, and a short comparison is done to prove the faithfulness.
ER
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  <subject>
    <topic>Tchebyshev metrics</topic>
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    <topic>random trip</topic>
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Full Metadata

Bibliographic Citation Logistics Journal : referierte Veröffentlichungen, Vol. 2015, Iss. 05
Title

Analytical form of the Probability Density Function of travel times in rectangular zone with Tchebyshev’s metric (eng)
Author Todor Todorov, Marin Georgiev
Language eng
Abstract Geometrical dependencies are being researched for analytical representation of the probability density function (pdf) for the travel time between a random, and a known or another random point in Tchebyshev’s metric. In the most popular case - a rectangular area of service - the pdf of this random variable depends directly on the position of the server. Two approaches have been introduced for the exact analytical calculation of the pdf: Ad-hoc approach – useful for a ‘manual’ solving of a specific case; by superposition – an algorithmic approach for the general case. The main concept of each approach is explained, and a short comparison is done to prove the faithfulness.
Subject Tchebyshev metrics, isochrones, probability density function, random trip, travel time
DDC 620
Rights DPPL
URN: urn:nbn:de:0009-14-41611
DOI https://doi.org/10.2195/lj_Rev_todorov_en_201505_01