Mathematical Problems in Engineering / 2015 / Article / Tab 3

Research Article

A Hybrid Approach to the Optimization of Multiechelon Systems

Table 3

Summary indices, parameters, and decision variables for transformed model.

SymbolDescription

Indices

Number of satellites
Number of customers
Number of possible routes from depot to satellites (CLP-determined)
Number of possible routes from satellites to customers (CLP-determined)
Satellite index
Depot-satellite route index
Customer index
Satellite-customer route index
Number of the 1st-level vehicles
Number of the 2nd-level vehicles

Input parameters

Cost of loading/unloading operations of a unit of freight in satellite
Demand required by customer
Total demand for route (CLP-determined)
Route cost (CLP-determined)
Route cost (CLP-determined)
If is located on route   , otherwise
If satellite or receipient s is located on route   , otherwise
Capacity of the vehicles for the 1st level

Decision variables

If the tour takes place along the route from the route set generated for level 1, then , otherwise
If the tour takes place along the route from the route set generated for level 2, then , otherwise

Computed quantities

Total demand for route