teoria prostej kolejki

English translation: single-channel model/Simple (M/M/1) Model

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)

Polish term or phrase:	teoria prostej kolejki
English translation:	single-channel model/Simple (M/M/1) Model
Entered by:	Frank Szmulowicz, Ph. D.

11:55 Feb 22, 2015

Polish to English translations [PRO]
Marketing - Management / teoria kolejek

Polish term or phrase: teoria prostej kolejki

5. teoria prostej kolejki
Parametr A – średnia liczba klientów przybywająca w ciągu godziny
Parametr C - średnia liczba klientów, którą jest w stanie obsłużyć system w ciągu godziny
Średnia długość kolejki
średni czas oczekiwania w kolejce zawsze C>A

Please, help. Queuing theory seems not mention such a concept.

msledge KudoZ activity Questions: 36 (none open) Answers: 2
Local time: 06:50

theory of a simple queue

Explanation:
Rather than a simple theory, which could be mistaken with an uncomplicated theory.

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Note added at 8 hrs (2015-02-22 20:38:00 GMT)
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Simple (M/M/1) Model Characteristic

Type: Single-channel, single-phase system
Input source: Infinite; no balks, no reneging
Arrival distribution: Poisson
Queue: Unlimited; single line
Queue discipline: FIFO (FCFS)
Service distribution: Negative exponential
Relationship: Independent service & arrival
Service rate > arrival rate
wisecampus.com/uploads/notescans/MODULE_D_QueueingTheory.ppt

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Note added at 8 hrs (2015-02-22 20:38:44 GMT)
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Other types of models from the same source:
Simple (M/M/1)
Example: Information booth at mall
Multi-channel (M/M/S)
Example: Airline ticket counter
Constant Service (M/D/1)
Example: Automated car wash
Limited Population
Example: Department with only 7 drills

Selected response from:

Frank Szmulowicz, Ph. D.
United States
Local time: 00:50

Grading comment

Thanks a million :)
4 KudoZ points were awarded for this answer

Summary of answers provided

theory of a simple queue

Frank Szmulowicz, Ph. D.

Discussion entries: 8

Frank Szmulowicz, Ph. D.

United States

23:45 Feb 22, 2015

Simple, after all. Glad you've found your answer.

msledge

ASKER

23:25 Feb 22, 2015

Thanks a lot for the fruitful discussion :)
I find the links quoted by mike23 particularly useful:
http://goo.gl/ynPmBS
https://www.google.pl/?gfe_rd=cr&ei=YBjqVI70OobD0wW084LQBA&g...
single-channel model seems to be what I'm looking for.

mike23

Poland

20:35 Feb 22, 2015

Great. I'm glad I could help. Feel free to use the ideas in your answer. Later Frank

Frank Szmulowicz, Ph. D.

United States

20:32 Feb 22, 2015

These examples are a treasure trove of information. Among them, I found a Simple (M/M/1) Queuing Model. One of its consequences is that Service rate > arrival rate, which is what the question entails. Thanks.

mike23

Poland

17:45 Feb 22, 2015

I see. I can't answer for sure. I thought there was 'the basic queuing theory (model)' [= simple] and the complex queuing, but I am not sure.

http://goo.gl/ynPmBS
https://www.google.pl/?gfe_rd=cr&ei=YBjqVI70OobD0wW084LQBA&g...

Frank Szmulowicz, Ph. D.

United States

17:16 Feb 22, 2015

Thank you, Michał. The question is whether this is a "simple queue/waiting line (sometimes so called)" or a theory that has a name attached to it in English literature. The fact that "prosta kolejka" appears just a couple of times on Polish web pages may indicate that this is "prosta" with the meaning of "simple" (rather than straight or winding, as an example).

mike23

Poland

17:01 Feb 22, 2015

13. Założenia do modelu teorii prostej kolejki.
Teoria prostej kolejki opiera się na następujących założeniach:
· istnieje jedno stanowisko obsługi, czyli jeden kanał obsługi
· klienci zgłaszają się po obsługę pojedynczo,
· czasy pomiędzy kolejnymi zgłoszeniami są zadane rozkładem wykładniczym.

Podstawowymi wielkościami, które będziemy wykorzystywać do wyliczenia parametrów teorii prostej kolejki są: a=średnia liczba klientów przybywająca w ciągu godziny, oraz c= średnia liczba klientów którą jest w stanie obsłużyć system w ciągu godziny
http://docs7.chomikuj.pl/1443552962,PL,0,0,ZO_pojęcia_do-egz...

Frank Szmulowicz, Ph. D.

United States

12:27 Feb 22, 2015

I may have found another alternative.
Does the theory simply say C>A?
I found Little's theory, law, .....
The long-term average number of customers in a stable system L is equal to the long-term average effective arrival rate, λ, multiplied by the (Palm‑)average time a customer spends in the system, W; or expressed algebraically: L = λW.
http://en.wikipedia.org/wiki/Little's_law

Answers

16 mins confidence:

theory of a simple queue

Frank Szmulowicz, Ph. D.
United States
Local time: 00:50
Works in field
Native speaker of:

English,

Polish
PRO pts in category: 38

Grading comment

Thanks a million :)

Notes to answerer

Asker: Dziękuję. Samo się nasuwa, ale nie znalazłam nigdzie potwierdzenia, co mnie nieco zmartwiło i stąd moja prośba o pomoc.

Asker: Thanks for your effort :) From the links provided by Mike it seems that 'simple queuing theory' sounds good as well.

Asker: ... and single-channel model too...

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teoria prostej kolejki

English translation: single-channel model/Simple (M/M/1) Model

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