Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: The interval Shapley value of an M/M/1 service system
Contributor:
Maksimov, Vyacheslav I. - ed. ; Mordukhovich, Boris - ed.
Subtitle:
Group publication title:
Abstract:
Service systems and their cooperation are one of the most important and hot topics in management and information sciences. To design a reasonable allocation mechanism of service systems is the key issue in the cooperation of service systems. In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games (N, V) arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperative interval games (N, V). ; We construct an interval game (N, W) of a service system which shares the same value for the grand coalition with the original interval game, by using the characteristic function which is dominated by the function of the original interval game. Finally, we prove that the interval game (N, W) is concave, which means that the interval Shapley value of the interval game (N, W) is in the interval core of this interval game,
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 27, number 3 (2017) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2017)
Last modified:
Jul 14, 2025
In our library since:
Jul 4, 2025
Number of object content hits:
19
All available object's versions:
https://zbc.uz.zgora.pl/publication/100651
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 1 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 2 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 3 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 4 (2017)
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| Edition name | Date |
|---|---|
| The interval Shapley value of an M/M/1 service system | Jul 14, 2025 |
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