Template-Type: ReDIF-Paper 1.0 Author-Name: Arslan, A.M. Author-Name-Last: Arslan Author-Name-First: Alp Author-Name: Agatz, N.A.H. Author-Name-Last: Agatz Author-Name-First: Niels Author-Name: Srour, F.J. Author-Name-Last: Srour Author-Name-First: Jordan Title: Model Formulations for Pickup and Delivery Problems in Designated Driver Services Abstract: Designated driver services use company vehicles to deliver drivers to customers. The drivers then drive the customers from their origins to their destinations in the customers’ own cars; at the destinations the drivers are picked up by a company vehicle. We typically see teams of drivers assigned to company vehicles serving customers. When, however, the drivers may be dropped off by one vehicle and picked up by another, a challenging, novel pick-up and delivery problem arises. In this paper, we introduce two formulations to solve this problem to optimality using a general purpose solver. In particular, we present a three-index and a two- index mixed integer program formulation to generate optimal, least-cost routes for the company vehicles and drivers. Using these MIPs, we find that the two-index formulation outperforms the three-index formulations by solving more instances to optimality within a given run time limit. Our computational experiments also show that up to 60% cost savings are possible from using a flexible operating strategy as compared to a strategy in which drivers and company vehicles stay together throughout a shift. Length: 24 Creation-Date: 2023-02-27 File-URL: https://repub.eur.nl/pub/137161/ERS-2023-004-LIS_a.pdf File-Format: application/pdf Series: RePEc:ems:eureri Number: ERS-2023-004-LIS Keywords: routing, dial-a-ride, pickup and delivery problem, designated driver services, routing with precedence Handle: RePEc:ems:eureri:137161