Optimal Pricing and Ordering Policy for Deteriorating Items with Stock-and-Price Dependent Demand and Presale Rebate

Table 1

Our paper versus literatures for key assumptions of inventory models with deteriorating items.

Author/authors	Demand rate	Deterioration rate	Shortage or not	Shortage cost	Decision
Skouri et al. [8]	Time-dependent	Weibull distribution	Yes	Constant	,
Sicilia et al. [9]	Time-dependent	Constant	Yes	Constant	,
Cheng et al. [10]	Time-dependent	Constant	Yes	Constant
Zhao [11, 12]	Time-dependent	Weibull distribution	Yes	Constant
Begum et al. [13]	Price-dependent	Weibull distribution	No	No	,
Dye [14]	Price-dependent	Time-dependent	Yes	Constant	, , and
Yang et al. [15]	Price-dependent	No	Yes	Constant	,
B. Sarkar and S. Sarkar [16]	Stock-dependent	Time-dependent	Yes	Constant	,
Padmanabhan and Vrat [17]	Stock-dependent	Constant	Yes	Constant	,
Avinadav et al. [18]	Price-and-time	Constant	No	No	,  , and
Maihami and Nakhai Kamalabadi [19]	Price-and-time	Noninstantaneous	Yes	Constant	,
Hou and Lin [1]	Price-and-stock	Constant	Yes	Constant	,
Giri and Bardhan [5]	Price-and-stock	No	No	No	,
This paper	Price-and-stock	Constant	Presale	Time-dependent	,  , and

= selling price,   = replenishment/out of stock time,   = order quantity,   = inventory cycle, and   = the number of replenishment.