Title: A new framework using biform game for cost optimisation of distribution networks

Authors: Salma Mouatassim; Ahmed Haroun Sabry; Mustapha Ahlaqqach; Jamal Benhra

Addresses: National School of Electricity and Mechanics (ENSEM), Hassan II University, Casablanca, Morocco ' National School of Electricity and Mechanics (ENSEM), Hassan II University, Casablanca, Morocco ' National School of Electricity and Mechanics (ENSEM), Hassan II University, Casablanca, Morocco ' National School of Electricity and Mechanics (ENSEM), Hassan II University, Casablanca, Morocco

Abstract: The present work focuses on the demand decision making problem for regional distribution centres sharing the same product families. Each centre orders quantities to be distributed from production units. Our approach suggests a biform game to maximise the benefits of each centre and minimise the end of cycle market induced supply to demand deviations. We start by an independent demand forecasting under uncertainty. Once the demand is met, the centres enter a collaboration phase where coalitions are created and products are exchanged, in order to achieve the core stability of the actual game. If not met, we try to achieve the same objectives using individual rationality through an adapted approach based on Shapley value analysis for each possible coalition.

Keywords: game theory; forecasting; Shapley value; collaboration; biform game; cost allocation; coalitions; core stability.

DOI: 10.1504/IJIDS.2020.106727

International Journal of Information and Decision Sciences, 2020 Vol.12 No.2, pp.115 - 135

Received: 06 Oct 2018
Accepted: 25 Dec 2018
Published online: 20 Apr 2020 *

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