NDLI: Transportation interval situations and related games

Content Provider	Springer Nature Link
Author	Palancı, O. Alparslan Gök, S. Z. Olgun, M. O. Weber, G. W.
Copyright Year	2015
Abstract	Basically, uncertainty is present in almost every real-world situation, it is influencing and questioning our decisions. In this paper, we analyze transportation interval games corresponding to transportation interval situations. In those situations, it may affect the optimal amount of goods and consequently whether and how much of a product is transported from a producer to a retailer. Firstly, we introduce the interval Shapley value of a game arising from a transportation situation under uncertainty. Secondly, a one-point solution concept by using a one-stage producere depending on the proportional, the constrained equal awards and the constrained equal losses rule is given. We prove that transportation interval games are interval balanced ( $$\mathcal {I}$$ -balanced). Further, the nonemptiness of the interval core for the transportation interval games and some results on the relationship between the interval core and the dual interval optimal solutions of the underlying transportation situations are also provided. Moreover, we characterize the interval core using the square operator and addressing two scenarios such as pessimistic and optimistic.
Starting Page	119
Ending Page	136
Page Count	18
File Format	PDF
ISSN	01716468
Journal	OR Spectrum
Volume Number	38
Issue Number	1
e-ISSN	14366304
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-11-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cooperative interval games Transportation games Uncertainty Interval Shapley value Proportional rule Operation Research/Decision Theory Calculus of Variations and Optimal Control; Optimization Business and Management
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Business, Management and Accounting

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