The paper presents an analytic approximation for computing (s, S) policies for single items under periodic review with fixed ordering costs, linear holding costs and a service level requirement. The replenishment lead time is fixed and unfilled demand is backlogged. The approximation is similar...

Most previous research on post-harvest grain storage by farmers has assumed risk-neutral behavior and/or made restrictive assumptions about underlying price probability distributions. In this study, we solve the optimal on-farm storage problem for a risk-averse farmer under more general...

In this paper we discuss the costate variable in a stochastic optimal control model of a renewable natural resource, which we call a fishery. The role of the costate variable in deterministic control models has been discussed extensively in the literature. See, for example, Lyon (1999), Clark...

In this paper we provide a stochastic dynamic game formulation of the economics of international environmental agreements on the transnational pollution control when the environmental damage arises from stock pollutant that accumulates, for accumulating pollutants such as CO2 in the atmosphere....

A portfolio selection model is derived for diffusions where inequality constraints are imposed on portfolio security weights. Using the method of stochastic dynamic programming Hamilton-Jacobi-Bellman (HJB) equations are obtained for the problem of maximizing the expected utility of terminal...

We develop an econometric model for firm exit, using stochastic dynamic programming (SDP) as a starting point. According to SDP, the value of an operating firm can be written as the sum of (i) the net present value of continuing production if the firm is committed to a future exit date, and (ii)...

Retailers, from fashion stores to grocery stores, have to decide what range of products to offer, i.e., their product assortment. Frequent introduction of new products, a recent business trend, makes predicting demand more difficult, which in turn complicates assortment planning. We propose and...

In NSW the Water Management Act (2000) requires water to be specifically allocated for environmental purposes so as to improve river health. Water sharing plans have been developed that establish extractive and environmental shares to river flows. In unregulated river systems this has resulted...

The management of a water reservoir can be improved thanks to the use of stochastic dynamic programming (SDP) to generate management policies which are efficient with respect to the management objectives (flood protection, water supply for irrigation and hydropower generation, respect of minimum...

This paper studies the optimization problem of DC pension plan under mean–variance criterion. The financial market consists of cash, bond and stock. Similar to Guan and Liang (2014), we assume that the instantaneous interest rate is an affine process including the Cox–Ingersoll–Ross (CIR)...