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Title: Nucleolus based cost allocation methods for a class of constrained lane covering games
Authors: Öner N.
Kuyzu G.
Keywords: Collaborative logistics
Column and row generation
Cooperative games
Cost allocation
Computation theory
Cost accounting
Game theory
Allocation methods
Collaborative logistics
Column and row generation
Cooperative game
Critical tasks
Minimum cost
Truck movements
Truckload transportations
Issue Date: 2022
Publisher: Elsevier Ltd
Abstract: In truckload transportation procurement networks, shippers purchasing the services of truckload carriers seek to form multi-company tours which consist of regularly scheduled shipments with minimal empty truck movements with the aim of getting better rates from the carriers in return. Identifying the minimum cost collaborative solution and sharing the costs in a fair manner are two interrelated and critical tasks for the success of such networks. The restrictions on the tours which can be formed make both of these tasks very challenging. In this paper, we take a cooperative game theory approach and study the resulting constrained lane covering game. We first show the set of conditions which must be satisfied for the game to have a non-empty core. We propose nucleolus based cost allocation methods. We also develop column and row generation methods for solving these mathematical models. We compare our proposed cost allocation models with alternative cost allocation methods and each other using a set of core stability metrics through computational experiments on randomly generated instances from the literature. © 2022 Elsevier Ltd
ISSN: 0360-8352
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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