New PhD thesis on decentralized supply channels
On Monday 22 January 2024 Mahnaz Fakhrabadi will hold a trial lecture on a prescribed topic and defend her thesis for the PhD degree at NHH.
This research tackles decentralized supply channels and proposes comprehensive solution algorithms for multi-periodic bilevel equilibrium problems.
The supply channel consists of two members, an upstream (manufacturer) and a downstream member (retailer), who assume the roles of leader and follower, respectively, in a Stackelberg game. The primary objective is to effectively manage dynamic demand, which depends on price-history, within a multi-period time frame. Due to the price-history effect on the uncertain demand, the problem turns out to be highly nested.
The first chapter presents a channel facing dynamic and price-dependent demand, where the demand information is incomplete, and the only information provided is the mean and the standard deviation of the demand. To address this challenge, a distributional-robust (DR) approach is proposed, which provides a lower bound on the channel’s expected profit for the problem with known distribution. The retailer bears the uncertainty of the demand, while the manufacturer perceives it through the retailer’s order quantity.
In the second chapter, the authors extend this framework by considering a single contract that covers all periods, enabling simultaneous optimization of decisions for all periods. The leader’s expected payoff of this type of contract is logically not lower than the subgame perfect result. For the follower on the other hand, they did not observe any counterexample to demonstrate that he may be worse off by using a single contract. The algorithm optimally addresses concerns related to environmental corrective actions. It incorporates pollution capacity constraints and tax, where the algorithm is constrained to produce below a predetermined cap in the first policy, and in the second policy the tax, as a decision variable, is obtained for each period.
The third chapter introduces a buyback price into the channel to share risks between the players. The proposed algorithm addresses a problem within a Cap-and-Trade system.
Prescribed topic for the trial lecture:
The relevance and challenges of applying game theory to supply chain management
Trial lecture:
Aud. Karl Borch, NHH, 10:15
Title of the thesis:
Essays on Dynamic Games: Impacts of Different Contracts and Policy Constraints in a Distributional Robust Approach
Research trio received Research Dissemination Award 2023
Defense:
Aud. Karl Borch, NHH, 12:15
Members of the evaluation committee:
Professor Mette H. Bjørndal (leader of the committee), Department of Business and Management Science, NHH
Professor Georges Zaccour, HEC Montréal
Associate Professor Hajnalka Vaagen, NTNU
Supervisors:
Professor Leif K. Sandal (main supervisor), Department of Business and Management Science, NHH
Professor Jan Ubøe, Department of Business and Management Science, NHH
The trial lecture and thesis defense will be open to the public.