Pricing for seasonal deteriorating products with price- and ramp-type time-dependent demand

• Pricing and production scheduling for a seasonal deteriorating product.
• Demand is price- and ramp-type time-dependent.
• An efficient algorithm is provided.

A production–inventory problem for a seasonal deteriorating product is considered. It is assumed that the demand is price- and ramp-type time-dependent. The selling season for the deteriorating product is fixed. The decision maker needs to set up the price and the production schedule at the beginning of the season. Although the profit function is not concave in general, the optimal price can be determined efficiently through a simple algorithm.