Parameter

Explanation of parameter

Setting value/other instructions

Ri

Row number of warehouse, the first row is the lower row near the logistics center, and the second row is the upper row

i = 1, 2

Ci

Column number of warehouse, columns 1 - 33 from left to right

i = 1, 2, …, 33

Bi

Shelf number of the warehouse, which is 1 - 56 from north to south

i = 1, …, 256

Pi

Location number of the warehouse, because one shelf stores one kind of goods, thus B = P

i = 1, 2, …, 56

lB

Length of each section of the shelf

0.84 m

lp

Length of each storage location within each section of the shelf

0.84 m

l

Length of the shelf

l = 28 × 0.84 m

Δl

Distance between two rows of shelves

1.68 m

d

Shelf width distance

2.48 m

dc

Width distance of each column of shelves

1.24 m

Wi

Coordinates of the item i

Wi(xi, yi)

Sij

Distance from item i to item j, where Sij = Sji

Sij = Xij + Yij

Xi

Abscissa distance from item i to item j

Yi

Ordinate distance from item i to item j

ΔYi

Distance between item i’s coordinate and the southernmost end of the nearest shelf

T

Total picking time

T = Ti + Td + Ts + Tt + Te

Ti

Initialization time for starting the picking

20s

Td

Picking route time

Determined by picking distance

Ts

Scanning time for a single item after the employee reaches the corresponding item to be picked

Determined by picking distance

Tt

Picking time for picking up and placing each item onto the cart

Determined by picking distance

Te

Complete the picking task, print and sign to confirm the final time

30s

Nn

Quantity of chromosome population

Determined by order type

Pc

Crossover factor

Determined by order type

Pm

Mutation factor

Determined by order type

round

Maximum number of iterations

Determined by order type