Joint Decision on Ordering and Pricing of Cruise Tourism Supply Chain with Competing Newsboy-Type Retailers

Table 1

Major notations.

	The unit operating cost of the supplier
	The total number of cruise tickets for the supplier
	Market potential composed of the retailer
	Cross price elastic coefficient
	The cost per unit when the amount of cruise tickets ordered by a retailer less than the demand of consumers then to reorder from the other retailer
	The unit wholesale ticket price of the supplier to retailer in the benchmark case
	The unit wholesale ticket price of the supplier to retailer in the alliance case
	The unit retail ticket price of the retailer in the benchmark case
	The unit retail ticket price of the retailer in the alliance case
	The retailer order quantity of cruise tickets in the benchmark case
	The retailer order quantity of cruise tickets in the alliance case
	Lagrange multiplier in the benchmark case
	Lagrange multiplier in the alliance case
	The random variable of retailer’s demand
	The PDF(Probability Density Function) of random variable
	The CDF(Cumulative Distribution Function) of random variable
	The inverse Cumulative Distribution Function of random variable

Note: the subscripts “r” and “s” are added to the relative variables to represent the values of the retailer and supplier, respectively, the subscripts “1” and “2” are added to the relative variables to represent the values of the retailer r₁ and r₂ respectively, the subscript “T” is added to the relative variables to represent the values of the system, and the superscripts “” and “” are added to the relative variables to represent their corresponding optimal values and the corresponding values in the alliance case, respectively, and the expected profits in the benchmark case and the alliance case are denoted as , respectively.