Skip to main content

Table 2 Parameters and description in machining model B

From: Vertical transportation systems embedded on shuffled frog leaping algorithm for manufacturing optimisation problems in industries

Parameters

Description (Unit)

d r , d s

Depth of cut for rough and finish machining (mm)

\(d_{rL} , d_{rU}\)

Boundary of depth of cut in rough machining (mm)

\(d_{sL} , d_{sU}\)

Boundary of depth of cut in finish machining (mm)

d t

Depth of material to be removed (mm)

D, L

Diameter and length of work-piece (mm)

f r , f s

Feed rates in rough and finish machining (mm/rev)

\(f_{rL} , f_{rU}\)

Boundary of feed rate in rough machining (mm/rev)

\(f_{sL} , f_{sU}\)

Boundary of feed rate in finish machining (mm/rev)

F U

maximum cutting force (kgf)

h 1, h 2

Constants relating to cutting tool travel time (min)

k o

Labor cost include overhead cost ($/min)

k f

Coefficient of specific tool work-piece combination

k q

Coefficient of chip–tool interface temperature

k t

Cutting edge cost ($/edge)

\(k_{1} ,\upmu,\upupsilon\)

The constant values of cutting force equation

\(k_{2} , \tau , \phi , \delta\)

Constants related to chip-tool interface temperature equation

k 3, k 4, k 5

Constants for roughing and finishing parameter

n

Integer number of rough cuts

p, q, r, C o

Constants of tool-life

\(P_{r} , P_{s}\)

Cutting power during rough and finish machining (kw)

P U

Maximum cutting power (kw)

\(Q_{r} , Q_{s}\)

Chip–tool interface rough and finish machining temperatures (°C)

Q U

Maximum allowable chip-tool interface temperature (°C)

R a

Maximum allowable surface roughness (mm)

R n

Nose radius of cutting tool (mm)

S C

Limit of stable cutting region constraint

SR U

Maximum surface roughness (mm)

t e

Tool exchange time (min/edge)

\(T, T_{r} , T_{s}\)

Tool life, expected tool life for rough machining and finish machining (min)

t c

Constant term of machine idling time (min)

T p

Tool life of weighted combination of T r and T s (min)

\(T_{U} , T_{L}\)

Boundary for tool life (min)

\(V_{r} , V_{s}\)

Cutting speeds in rough and finish machining (m/min)

V rL , V rU

Boundary of cutting speed in rough machining (m/min)

V sL , V sU

Boundary of cutting speed in finish machining (m/min)

q

The weight for T p [0,1]

\(\lambda , \nu\)

Constants related to expression of stable cutting region

η

The power efficiency (%)