Table 1 Notations of parameters and variables.

p

Unit price of the prefabricated construction. \(\omega \le p\)

t

Manufacturer’s non-standard components delivery time after crashing. \(0 < t\le {t}_{1}\)

ω

Manufacturer’s wholesaling price of prefabricated components. \(\omega \le p\)

τ

The amount of crashing cost that the assembler shared. \(\tau \le s\)

Parameters

D

Costumers’ demand of prefabricated construction.

h

Unit price of standard components stock-holding costs per unit time.

ω_l

Standard wholesale prices of prefabricated components.

c

Production cost of prefabricated components.

t₁

Initial manufacturer’s non-standard components delivery time \(0 < t\le {t}_{1}\)

a

Initial demand of consumer.

b

Self-price sensitivity of consumer. \(b > 1\)

λ

Self-time sensitivity of consumer. \(0 < \lambda < 1\)

s

Unit price of non-standard components crash costs.

τ₀

Standard amount of crashing cost that the assembler shared.

φ

Assembler revenue sharing ratio \(0 < \varphi < 1\)

ϑ

Manufacturer inventory cost-sharing ratio \(0 < \vartheta < 1\)

ε

Assembler crashing cost-sharing ratio \(0 < \varepsilon < 1\), \(\varepsilon =\tau /s\)

δ

Coordination parameters for MSL and NGL model.

σ

Coordination parameters for ASL model.