<p>The fast-food industry has been specifically designed to cater to the needs of individuals with busy lifestyles who are constantly on the go and require quick and efficient service. With the primary objective of providing convenient and speedy meal options, fast-food chains have revolutionized the way we eat and dine out. Quick delivery plays a critical role in fast-food supply chains for two major reasons: (1) Satisfying customer expectations (i.e., customers expect their food to be hot) (2) Maximizing efficiency (i.e., fast-food restaurants aim to serve more customers in less time). This study investigates a fast-food supply chain including a retailer and a third-party logistics (3PL), intending to optimize the delivery time according to the minimum possible delivery time under demand uncertainty.</p><p>Real-world market demand is inherently stochastic and impacted by various factors. Delivery time and price are crucial factors that affect market demand, when these factors are reduced, customers tend to have a higher demand for the product or service. In addition, this study employs a retailer-led Stackelberg game approach to analyze the relationships among supply chain members, and a new contract is designed to coordinate the supply chain, which Hybrids the Optimum retailer’s Payment to the 3PL for logistics along with the Franchise fee contract, named HOPF. The result indicates that the suggested contract could successfully coordinate the supply chain, it also demonstrates the significant effect of delivery time and pricing strategy on both market demand and supply chain profit.</p>