The following topics are important teaching operation research: games theory, decision theory, utility theory, queuing theory, scheduling theory, discrete optimization. These topics are illustrated and the connection with global optimization is shown considering the following mathematical models: competition model with fixed resource prices, Nash equilibrium, competition model with free resourc...

nowadays, the environmental impact of transportation project and, especially air pollution impacts, are major concerns in evaluating transportation projects. based on this concern, beside definition of traditional objective functions like total travel time and total investment cost, different type of environmental related function is considered as objective function in urban network design. in ...

Modifying the proof of a theorem of Wilkie, it is shown that if a one dimnsional set S is definable in an O minimal expansion of the ordered field of the reals, and if it is regularly exponentially near to many integral points, then there is an unbounded set, which is R definable without parameters, and which is exponentially near to S.

In this article we will describe some of the main developments in interest-rate modelling since Black & Scholes’ (1973) and Merton’s (1973) original articles on the pricing of equity derivatives. In particular, we will focus on continuoustime, arbitrage-free models for the full term structure of interest rates. Other models which model a limited number of key interest rates or which operate in ...

The exchange between an elected politician, such as a president, prime minister or a local governor and interest groups is analyzed as an optimization problem. The optimal control model shows the conditions required from regulatory policy and resource investment in order to maximize the politician’s utility from the interest group’s support. Given one interest group, such a policy includes two ...

This article elaborates on the applicability of basic and extended data envelopment analysis (DEA) models for various information system (IS) decision use-cases including illustrative examples from an enterprise resource planning (ERP) software investment appraisal. The usage of data envelopment analysis models and their extensions for IS decisions remains limited. This omission seems critical ...

The large scale penetration of electric vehicles (EVs) will introduce technical challenges to the distribution grid, but also carries the potential for vehicle-to-grid services. Namely, if available in large enough numbers, EVs can be used as a distributed energy resource (DER) and their presence can influence optimal DER investment and scheduling decisions in microgrids. In this work, a novel ...

The rural finance of China is still weak in the Chinese financial system. Without the support of the capital factor, the new rural construction of socialism could not be realized, but the investment of the capital factor and the enhancement of the humanistic morality must be based on the good credit information resource. The rural financial departments should fully support the construction of t...

Life histories vary widely among taxa, but within phylogenetic groups there may be a fundamental framework around which trait variation is organized, perhaps as a consequence of lineage-specific developmental constraints. In organisms with indeterminate growth, there is an ongoing problem of optimally allocating resources between growth and reproduction, and that allocation decision may manifes...

in this paper, an economic decisions-making model based on mathematics in order to optimize the costs of investment in accordance with innovative technology of human resources recruitment introduced and in the next section, the economic impact of the internet recruitment technologies has been examined.  in order to fulfill these demands classic economic order quantity model of have developed as...