Table 3 Related symbols Subscripts m ∈ {...

Table 3

Related symbols

Subscripts	$m \in {f, f_{1}, o, o_{1}}$	Offline channel (⁠ $f, f_{1}$ ⁠), online channel (⁠ $o, o_{1}$ ⁠)
Superscripts	$n \in {d, c, u}$	Decentralized $(d)$ ⁠, centralized $(c)$ ⁠, revenue-sharing contract $(u)$
Parameters	$x$	Initial market demand
	$θ$	Offline customer preference ratio
	$w$	Wholesale price
	$c$	Production cost
	$c_{p}$	Processing cost of Returned product
	$s$	Residual value of returned product
	$l$	Part of the value of the CCR product for the manufacturer
	$a$	Price sensitivity
	$b$	Cross-price sensitivity
	$I$	Interest rate of internal financing
	$λ$	Return rate of the offline channel
	$σ$	Return rate of the online channel
	$ε$	CCR rate
	$r_{1}, r_{2}$	Delivery-lead-time dependent cost parameters
	$α$	Offline-lead-time sensitivity coefficient
	$β$	Online-lead-time sensitivity coefficient
	$v$	DDM quality
	$k_{1}, k_{2}$	Customer's sensitivity of the DDM
	$η$	Cost coefficient of data analysis
	$H$	Data collection cost
	$L$	Manufacturer financing amount
	$u, u_{1}$	Revenue-sharing ratio
	$B$	Initial funds of the manufacturer
	$D_{m}^{n}$	Total channel demand
	$π_{m}^{n}$	Profit with the decentralized system
	$Π^{n}, Π_{1}^{n}$	Total profit with the centralized and decentralized systems
Decision variables	$p_{m}^{n}$	Offline and online channels' selling price
	$t^{n}, t_{1}^{n}$	Delivery lead time

Subscripts	$m \in {f, f_{1}, o, o_{1}}$	Offline channel ( $f, f_{1}$ ), online channel ( $o, o_{1}$ )
Superscripts	$n \in {d, c, u}$	Decentralized $(d)$ , centralized $(c)$ , revenue-sharing contract $(u)$
Parameters	$x$	Initial market demand
	$θ$	Offline customer preference ratio
	$w$	Wholesale price
	$c$	Production cost
	$c_{p}$	Processing cost of Returned product
	$s$	Residual value of returned product
	$l$	Part of the value of the CCR product for the manufacturer
	$a$	Price sensitivity
	$b$	Cross-price sensitivity
	$I$	Interest rate of internal financing
	$λ$	Return rate of the offline channel
	$σ$	Return rate of the online channel
	$ε$	CCR rate
	$r_{1}, r_{2}$	Delivery-lead-time dependent cost parameters
	$α$	Offline-lead-time sensitivity coefficient
	$β$	Online-lead-time sensitivity coefficient
	$v$	DDM quality
	$k_{1}, k_{2}$	Customer's sensitivity of the DDM
	$η$	Cost coefficient of data analysis
	$H$	Data collection cost
	$L$	Manufacturer financing amount
	$u, u_{1}$	Revenue-sharing ratio
	$B$	Initial funds of the manufacturer
	$D_{m}^{n}$	Total channel demand
	$π_{m}^{n}$	Profit with the decentralized system
	$Π^{n}, Π_{1}^{n}$	Total profit with the centralized and decentralized systems
Decision variables	$p_{m}^{n}$	Offline and online channels' selling price
	$t^{n}, t_{1}^{n}$	Delivery lead time

Sharing Unavailable