The minimax identity for a nondecreasing upper-semicontinuous utility function satisfying mild growth assumption is studied. In contrast to the classical setting, concavity of not asumed. By considering concave envelope function, equalities and inequalities between robust functionals an initial its concavification are obtained. Furthermore, similar proved in case implementing upper bound on fin...

Warranty is a powerful implement for marketing strategy that is used by manufacturersand creates satisfaction for consumers by ensuring to compensate for incorrect operation of the product. Warranty serviceresults ina cost named warranty cost for a manufacturer.This cost is a function of warranty policy, regions, and product failures pattern. Since this service coversthe cost of uncertain failu...

In a competitive market, customer decision is made to maximize his utility. It can be assumed that risk of losing a supply chain’s customer can be defined based on products utility from customer point of view. This paper takes account of product price and service level as competition criteria. The proposed model is based on non-cooperative game theory, for one-manufacturer and one-retailer supp...