Competitive scheduling in a hybrid flow shop problem using multi-leader–multi-follower game - A case study from Iran

Ghasem Safari, Ashkan Hafezalkotob, Hiva Malekpour, Mohammad Khalilzadeh

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

It is logical that organizations pay more attention to their major customers which have more impacts on their abilities or benefits. In many real cases, decision makers in scheduling system must prioritize the sequence of processing orders according to the agent of orders while the classic production scheduling do not have the ability to consider the relationships between agents. These problems can be modeled by the Stackelberg problems in the field of game theory. In this study, an agent-based hybrid flow shop problem is formulated by using the multi-leader multi-follower mathematical model. Each level is evaluated by Nash equilibrium and Nash bargaining with the new co-evolutionary and genetic algorithm. The proposed model is validated in a real case problem in the tire manufacturing industry. The results show that Nash equilibrium is superior to Nash bargaining for all agents.

Original languageEnglish
Article number116584
JournalExpert Systems with Applications
Volume195
DOIs
StatePublished - 1 Jun 2022
Externally publishedYes

Keywords

  • Hybrid genetic algorithm
  • Leader-follower problems
  • Nash bargaining
  • Scheduling game
  • Stackelberg problems

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