Abstract: In this Paper a multi item EOQ model with stock dependent demand for deteriorating items is considered in fuzzy environment. Inventory costs such as holding cost and setup cost have been represented by exponential membership function and profit, deteriorating rate and total investment constraint are represented by linear membership functions. The model has been solved by fuzzy non-linear programming (FNLP) method. Results have been presented along with those of corresponding crisp model and a sensitivity analysis.

Abstract: A generalized dual to a control problem containing support functions is formulated and various duality theorems are established under generalized convexity hypotheses. This dual model represents the combination of Wolfe and Mond-Weir type dual models to the control problem and hence it is described as a generalized dual. Some special cases are obtained. A close relationship of duality results with those of the nonlinear programming problems involving support functions is indicated.

Abstract: This paper examines the causal relationship between financial development and economic growth for 27 medium-income countries in the period 1970 to 2012. We develop a new proxy for financial development that refers to the input of real resources into the financial system and apply the panel bootstrapped approach to Granger causality. The results show, for three countries the findings support strong evidence on supply-leading hypothesis which implies that financial development induces economic growth and for six countries the findings support strong evidence on demand-following. Our results confirm for twenty one countries suggesting that their financial development does not depend on economic growth.

Abstract: The predictive performance of two EGARCH^{i} models for modeling daily changes in logarithmic exchange rates (log Rt^{ii}) are analyzed here. One is based on modeling the data on assumption of normal distribution and the other is based on the standardized student-t distribution. In particular, the (log Rt) of USDKES^{iii}, EUROKES^{iv} and GBPKES^{v} are considered. For each assumption EGARCH is fitted, with varying numbers of parameters, and attempt to replicate the empirical (log Rt) sequence via simulation. Assessing the fit of each model, it is concluded that the families of EGARCH models with t-innovations adequately reflect the empirical nature of the (log Rt) sequence and therefore provides a better prediction model.