Information Technology Reference
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For example, at the distribution center of FMCG (Fast Moving Consumer Goods), pallets
distribution process for the end customer begins with the storage document created by the
Sales Department on the basis of a client's order.
The storage document contains general information about the contract, including the
division into pallets. Based on this information picking and packing is done. The
arrangement of individual goods in the storage document warehouse is optimal against the
AVG route. Then the pallets are stored in the forwarding area of the warehouse. The
allocation of pallets to each route and then the way of loading the pallets on trucks are
decided by dispatchers on the basis of their experience. The method of loading (loading
order) pallets on the truck is the deterministic process that depends on the route. But the
allocation of pallets to the route and the appropriate type of truck is not the deterministic
process.
In the problem of allocation of pallets, the main asked question is: What is the minimum cost
of supply pallets? Answer to this question in this case the solution of mathematical model
allows for answers to other questions. These are important questions from a practical point
of view. The most important ones are: Which route will be operated? What is the number of
courses assigned to each route? What type of trucks will be used? How much will the
supplies for each point?
Symbol
Description
Indices
j
delivery point jJ={1,..,N}
i
route iI={1,..,M}
l
truck type lL={1,..,O}
Input Parameters
Z j
demand for pallets at delivery point j (j=1..N).
1 if delivery point j belongs to route i
0 otherwise
D ji
for (j=1..N), (i=1..M)
K l
capacity of truck l (pallets) (l=1..O)
U l
feasible number of routes for truck type l (l=1..O).
W l
feasible length of route for truck type l (l=1..O).
C li
the cost of route i (i=1..M) by the truck type l (l=1..O)
E li
the time course of truck type l (l = 1..O) on the route i (i=1..M)
the cost of delivery to delivery point j (j =1..N) on the route i
(i = 1..M) by truck type l (l =1..O). (Variable depending on the number of
pallets).
B j,i,l
Decision Variables (Integer)
part of the demand for pallets for the delivery point j (j=1..N),
implemented on the route i (i=1..M) supported by the truck type l
(l=1..O)
X j,i,l
Y i,l
number of courses truck type l (l =1..O) on the route i (i =1..M)
Table 2. The indices, input parameters and the decision variables for optimization model.
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