price, delivery time, and retail service sensitive dual-channel supply chain

This study deals with a dual channel supply chain where selling price of each player, deliverytime for direct channel and retail service dependent demand structures are considered formanufacturer and retailer. in the direct channel, the manufacturer sells the products directlyto the customers with a maximum mentioned delivery time. the delivery time of the productsis adjustable according to customers’ demand with extra delivery charge. in the retail channel,the customers are extra benefited by the retail service and direct connection with the products.selling price for direct market is considered as lower than the retail market selling price. thebehavior of the model under integrated system is analyzed. in the decentralized structure,vertical nash and manufacturer stackelberg models are also discussed. the sensitivity of thekey parameters is examined to test feasibility of the model. finally, a numerical example withgraphical illustrations is provided to investigate the proposed model.