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Indices and sets | |
| Distribution center |
| Trips the courier visits in the planning horizon |
| Express lockers |
| State of parcels |
| Customers request home-delivery |
| Customers using express lockers |
| Set of customers request home-delivery |
| Set of customers belonging to locker u |
| Set of customer nodes |
| Set of the distribution center and customers who request home-delivery and locker points |
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Parameters | |
| Transport time when a courier visits from point to |
| Capacity of the vehicle |
| Capacity of the express locker |
| Speed of customers who use express lockers to pickup parcels from the locker |
| Speed of customers who use express lockers to deliver parcels to the locker |
| Number of parcels the courier delivers to point in trip |
| Number of parcels the courier picks up at point in trip |
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Discrete variables | |
| Number of state parcels customers delivering to locker in trip |
| Number of state parcels the courier picking up at point in trip |
| Number of state parcels the courier delivering to point in trip |
| Lost sale when customers want to deliver parcels to locker in trip but fail |
| Back order when courier wants to deliver parcels to locker in trip but fails |
| Lost sale when customer requests home-delivery to deliver parcels in trip but fails |
| Number of parcels in the vehicle when the courier arrives at point in trip |
| Number of state parcels in locker when the courier arrives in trip |
| Arrive time when the courier visits point in trip |
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Decision variables | |
| Whether trip passes the arc |
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