Several important practical problems and techniques which are familiar to both actuaries and underwriters are discussed informally and then analyzed mathematically. The main subjects are the degree to which profitability can be improved by estimating the expected losses of risks more accurately, and the usefulness of various methods of improving accuracy. The effect of raising or lowering the g...

The input to the tollbooth problem is a graph G = (V,E) and a set of m buyers Pi where each buyer is interested in buying a path Pi connecting si, ti ∈ V . Each buyer comes with a budget b(Pi), a positive real number. The problem is to set non-negative prices to the edges E of G. A buyer buys her path Pi if the sum of prices on Pi is at most her budget. If a buyer buys her path, we obtain a pro...

In the unlimited-supply profit-maximizing pricing problem, we are given the consumers’ consideration sets and know their purchase strategy (e.g. buy the cheapest items). The goal is to price the items to maximize the revenue. Previous studies suggest that this problem is too general to obtain even a sublinear approximation ratio (in terms of the number of items) even when the consumers are rest...

collateralized mortgage obligations are derivatives securities based on mortgage loans which issued in different maturities, interest rates and credit ratings. in iran attention to decision authorities for the first time allowed iran melli bank and maskan bank to issue this kind of securities. one of the main questions in issuing this kind of securities is maximizing the issuer profit by choosi...

due to limitation of available water and soil resources in iran, the challenge of optimizing the utilization of these resources has become more significant. one of the solutions to the economic, planning and optimization of water use and achieve the optimum level of water use is associated with improved farming activities and this is the most important agricultural research needs. the study of ...