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. 2024 Jan 9;36(4):1189–1221. doi: 10.1007/s10696-023-09529-3
Input data
I Set of customers
I0 Set of nodes involved in the network (customers plus depot)
Ω Set of ODs
K Set of bids
M Number of available vehicles
ρ Cost of serving a customer by a direct shipment with a taxi service
cij Travel cost between node i and node j
qi Demand of customer i
[ei,li] Delivery TW for customer i (depot TW if i=0)
si Service time for node i (customer or depot nodes)
Qmax Capacity of owned-fleet vehicles
QmaxOD Capacity of ODs’ vehicles
bk Price of bid k offered by an OD
τk Bundle related to bid k
ok OD who submitted bid k
Ck Set of customers belonging to bundle τk