Research Article

Stochastic Programming of Sustainable Waste Cooking Oil for Biodiesel Supply Chain under Uncertainty

Table 1

Description of symbols used in the base model.

Set

ISet of kitchen waste supply points i
JSet of potential pretreatment facility locations j
KSet of biodiesel refinery locations k
SSet of uncertain scenarios s

Parameter
Function of the kitchen waste amount of supply point i provided for the biodiesel operator according to the price
Distance from supply point i to pretreatment facility j
Distance from the pretreatment facility j to the biodiesel refinery k
Total amount of annual kitchen waste supply in each supply point i under scenario s
Fixed construction cost of the pretreatment facility j
Probability of scenario s
CPenalty fees for shortage demand of biodiesel
HResidual value of excess kitchen waste
Demand for biodiesel at the biodiesel refinery k
Transport costs for kitchen waste by truck
Transport costs for waste cooking oil by truck
Carbon emissions from unit kitchen waste collection
Carbon emissions from transportation by truck
Maximum processing capacity of the pretreatment facility
Carbon emissions from the construction of pretreatment facility j
Carbon emissions from pretreatment facilities deal with unit kitchen waste
Processing cost from unit kitchen waste at the pretreatment facility
Pretreatment rate of unit kitchen waste at pretreatment facility
The weight
Trading price from unit carbon emissions

Decision variables
Quantity of kitchen waste from supply point i to pretreatment facility j in scenario s
Quantity of waste cooking oil from pretreatment facility j to biodiesel refinery k in scenario s
1 when location j is used to build a pretreatment facility, 0 otherwise
Quantity of outsourcing kitchen waste at the pretreatment facility j in the situation s
Quantity of excess kitchen waste at supply point i in scenario s
Negotiated purchase price for unit kitchen waste