scholarly journals The interval Shapley value of an M/M/1 service system

2017 ◽  
Vol 27 (3) ◽  
pp. 549-562
Author(s):  
E Cheng-Guo ◽  
Quan-Lin Li ◽  
Shiyong Li

AbstractService 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, and illustrate this conclusion by using numerical examples.

1980 ◽  
Vol 58 (16) ◽  
pp. 1687-1690 ◽  
Author(s):  
Delano P. Chong

The excitation energies calculated by the HAM/3 procedure for ΠΠ* transitions in linear molecules can be internally inconsistent by as much as ± 0.6 eV. In the recent study by Åsbrink etal., the problem was avoided by adopting Recknagel's expressions and requiring the proper average ΠΠ* excitation energy. In this paper, we trace the small inconsistency back to its origin in HAM/3 theory and derive the analytical expression for the energy correction as well as Recknagel's formulas. Numerical examples studied include all seven linear molecules investigated by Åsbrink etal. The explicit expression for the correction enables us to perform meaningful configuration-interaction calculations on the excited states, as illustrated by the carbon suboxide molecule.


Author(s):  
SILVIU GUIASU

A solution of n-person games is proposed, based on the minimum deviation from statistical equilibrium subject to the constraints imposed by the group rationality and individual rationality. The new solution is compared with the Shapley value and von Neumann-Morgenstern's core of the game in the context of the 15-person game of passing and defeating resolutions in the UN Security Council involving five permanent members and ten nonpermanent members. A coalition classification, based on the minimum ramification cost induced by the characteristic function of the game, is also presented.


2015 ◽  
Vol 28 (1) ◽  
pp. 38-56 ◽  
Author(s):  
Rainer Alt ◽  
Clemens Eckert ◽  
Thomas Puschmann

Service science views companies as service system entities that interact with other entities to create value. In today's networked value chains competition is no longer among companies, but among networks that may be regarded as service ecologies. Following service science each entity comprises a dynamic configuration of resources and structures, thus a variety of design aspects needs alignment within these ecologies. To manage service ecologies this article suggests to link insights from network management with service science. A multi-dimensional framework consistently describes the organizational aspects of network management among service system entities as well as the required processes to align activities between service system entities and the possible information systems to support network management. The framework emerged from a design-oriented research project based on eleven interviews with managers from financial service providers in Germany and Switzerland.


2020 ◽  
Vol 12 (4) ◽  
pp. 93-111
Author(s):  
Анна Тур ◽  
Anna Tur ◽  
Леон Аганесович Петросян ◽  
Leon Petrosyan

The paper describes a class of differential games on networks. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. The core, the Shapley value and the tau-value are used as cooperative optimality principles. The results are demonstrated on a model of a differential research investment game, where the Shapley value and the tau-value are explicitly constructed.


2010 ◽  
pp. 560-582
Author(s):  
Andrew Targowski

The purpose of this study is to define generic service processes, their system, and a scope of service science developed originally by the author. In the presented approach, the main criterion is the class of serviced users, since this leads to the six kinds of process recognition and eventually helps in planning e-service systems’ architecture. E-service system (e-SS) is defined as a mission-goal-strategy-driven configuration of technology, organizational processes and networks designed to deliver HTservicesTH that satisfy the needs, wants, or aspirations of customers. Marketing, operations, and global environment considerations have significant implications for the design of an e-service system. Four criteria which impact e-service systems’ architecture have been defined as: service business model, customer contact and level of involvement (Service User Interface), service provider’s enterprise complexity (Enterprise Systems and Networks), and scope of goods involved in service. It was proved that the e-service system is the intermediary layer between Service User Interface and Enterprise Systems and Networks. Two examples of e-SS have been modeled.


Author(s):  
Yue Wang ◽  
Mitchell M. Tseng

AbstractConfigurators have been generally accepted as important tools to elicit customers' needs and find the matches between customers' requirements and company's offerings. With product configurators, product design is reduced to a series of selections of attribute values. However, it has been acknowledged that customers are not patient enough to configure a long list of attributes. Therefore, making every round of configuring process productive and hence reducing the number of inputs from customers are of substantial interest to academic and industry alike. In this paper, we present an efficient product configuration approach by incorporating Shapley value, which is a concept used in game theory, to estimate the usefulness of each attribute in the configurator design. This new method iteratively selects the most relevant attribute that can contribute most in terms of information content from the remaining pool of unspecified attributes. As a result from product providers' perspective, each round of configuration can best narrow down the choices with given amount of time. The selection of the next round query is based on the customer's decision on the previous rounds. The interactive process thus runs in an adaptive manner that different customers will have different query sequences. The probability ranking principle is also exploited to give product recommendation to truncate the configuration process so that customers will not be burdened with trivial selection of attributes. Analytical results and numerical examples are also used to exemplify and demonstrate the viability of the method.


Author(s):  
Noel Carroll ◽  
Ita Richardson ◽  
Eoin Whelan

Service comprise of socio-technical (human and technological) factors which exchange various resources and competencies. Service networks are used to transfer resources and competencies, yet they remain an underexplored and ‘invisible’ infrastructure. Service networks become increasingly complex when technology is implemented to execute specific service processes. This ultimately adds to the complexity of a service environment, making it one of the most difficult environments to examine and manage. In addition, although the emerging paradigm of ‘Service Science’ calls for more theoretical focus on understanding complex service systems, few efforts have surfaced which apply a new theoretical lens on understanding the underlying trajectories of socio-technical dynamics within a service system. This paper presents a literature review on Actor-Network Theory (ANT) and discusses how it may be employed to examine the socio-technical nature of service networks. ANT offers a rich vocabulary to describe the interplay of socio-technical dynamics which influence the service system reconfiguration. Thus, this paper offers a discussion on how ANT may be employed to examine the complexity of service systems and service innovation.


2017 ◽  
Vol 17 (4) ◽  
pp. 517-535 ◽  
Author(s):  
Hannu Makkonen ◽  
Rami Olkkonen

The article builds a framework for interactive value formation (IVF) in interorganizational relationships. The framework describes IVF as interplay between resource integration and a multilevel service system, which manifests in interaction episodes accumulating into a relationship. The interplay generates outcomes in which the actors are better off (co-creation), worse off (co-destruction), or indifferent (no-creation) to value gained. The framework is demonstrated in an empirical case of a cultural sponsorship relationship where the co-destructive and no-creative interaction episodes dominated co-creative instances, finally accumulating into a relationship outcome of value no-creation for both parties. The framework and the launched novel conceptualization of value no-creation contribute to the research on service systems, resource integration for value, and failure in value co-creation. The research on failure in value co-creation, that is, value co-destruction, is scant. This article further elaborates this research stream and bridges to the research on co-creation.


Sign in / Sign up

Export Citation Format

Share Document