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Mathematical Problems in Engineering
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Mathematical Problems in Engineering
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2023
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Article
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Tab 1
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Research Article
Managing Emergency Procurement Using Option Contract under Supply Disruption and Demand Uncertainty
Table 1
Notions and definitions.
Illustration
Supplier’s production cost of per unit
Retailer’s first ordering price per unit without option contract
Option price per unit
Option exercise price per unit
Retail price per unit
Supplier’s emergency production cost per unit
Retailer’s emergency procurement price per unit
Unit salvage value after sales season
Disruption probability
Supplier’s production quantity (decision variable)
Retailer’s option ordering quantity (decision variable)
The market demand is stochastic, which is a continuous stochastic variable,
,
whose probability density function and cumulative distribution function are
f
(·) and
F
(·), with mean value
,
denotes the profit function of the supplier and the retailer
Denotes optimum