A Stochastic Model for an Input Control Problem in a Two-Level Supply Chain for Production-Time-Dependent Products with Random Demands

Table 2

Notation.

Q	Input quantity (batch size), decision variable
T	Input interval, decision variable
M	Number of product types
	Time required to produce type-i product (production time)
	Demands for type-i product during
	for all k. Distribution of demand for type-i product
	Number of raw materials (chicks) remaining in the k-th input immediately after time
	Limiting probability of
	Remaining demand for type-i product immediately after (demand not satisfied even with the k-th input product)
	Limiting probability of
	The convolution of that is,
	Limiting probability of
	Cost incurred when the demand for a unit of type-i product is not satisfied
	Cost of disposing one unit of raw material