|
| | Description |
|
| Set | |
| Set of LC and DCs, , and 0 denotes the LC |
| Set of DCs and |
| Set of customers and |
| Set of semitrailer trucks and |
| Set of delivery vehicles and |
| Set of sequence for transportation routes performed by truck s and |
| Set of sequence for distribution routes performed by vehicle and |
| Set of trucks serving DCs |
| Set of delivery vehicles serving customers |
| Set of DCs served by truck s in the mth transportation route, |
| Set of customers served by vehicle in the nth distribution route, |
|
| Parameter | |
| Capacity of truck s |
| Capacity of vehicle |
| Capacity of DC i |
| Demand from DC i, |
| Demand from customer j, |
| Distance from LC or DC i to DC d, |
| Distance from DC or customer d to customer c, |
| Fuel consumption of truck s |
| Fuel consumption of vehicle |
| Diesel price |
| Gasoline price |
| Number of working periods in one year |
| Penalty cost per time unit for earliness |
| Penalty cost per time unit for delay |
| Time window for logistics facility , |
| Time window for customer j, |
| Time truck s departs from LC in the mth route, |
| Time vehicle departs from DC i in the nth route, |
| Time truck s arrives at LC or DC z in the mth route, |
| Time vehicle arrives at DC or customer j in the nth route, |
| A very large number |
| Maintenance cost of truck s |
| Maintenance cost of delivery vehicle |
| Fixed cost of DC I, |
| Number of transportation routes served by truck s, |
| Number of distribution routes served by vehicle , |
| Number of DCs served by truck s in the mth route, |
| Total number of customers to be served in the given distribution area |
| Number of customers served by vehicle in the nth route, |
| Number of trucks serving DCs |
| Number of vehicles serving customers |
|
| Decision variable | |
| If truck s travels from logistics facility z to i in the mth route, , otherwise, , |
| If vehicle travels from DC or customer d to customer c in the nth route, , otherwise, , |
| If truck s travels from LC 0 to DC i,, otherwise, , |
| If vehicle travels from DC i to customer j, , otherwise, , |
| If truck s is used to serve customers, , otherwise, |
| If delivery vehicle is used to serve customers, , otherwise, |
| If DC i is selected to serve customers, , otherwise, |
| If customer j is served by DC i,, otherwise, |
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