This paper describes a stochastic short sea shipping problem where a company is responsible for both the distribution of oil products between islands and the inventory management of those products at consumption storage tanks located at ports. In general, ship routing and scheduling is associated with uncertainty in weather conditions and unpredictable waiting times at ports. In this work, both...

In previous work [11] the authors found integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice Z. The dynamics are uniquely determined once the initial state is specified. In this note we restrict our attention to the case of step initial condition with particles at the positive integers Z+ and consider the distribution function for the mth ...

We prove pathwise uniqueness for stochastic differential equations driven by non-degenerate symmetric α-stable Lévy processes with values in Rd having a bounded and β-Hölder continuous drift term. We assume β > 1− α/2 and α ∈ [1, 2). The proof requires analytic regularity results for the associated integro-differential operators of Kolmogorov type. We also study differentiability of solutions w...

dependent on initial conditions, stochastic elements are also incorporated into the analysis. In this study, the effects of an export subsidy for cotton are analyzed using a linear elasticity model. COMPARATIVE STATICS OF AN The study explicitly addresses the interaction of EXPORT SUBSIDY current domestic policies with the proposed export subsidy. An export subsidy may be a successful The expec...

Several stochastic models were proposed recently to model the dynamic evolution of the web graph. We study the infinite limits of the stochastic processes proposed to model the web graph when time goes to infinity. We prove that deterministic variations of the so-called copying model can lead to several nonisomorphic limits. Some models converge to the infinite random graph R, while the converg...

In most production-inventory systems, the products are transferred from the production centre to the inventory (warehouse) in subbatchs rather than one at a time. In this paper, mathematical models of such systems for both deterministic and stochastic cases of demand are developed and analysed. Comparison of these new models with the EBQ model shows a considerable loss when applying the ru...

This study proposes a new multi-item inventory model with hybrid cost parameters under a fuzzy-stochastic constraint and permissible delay in payment. The price and marketing expenditure dependent stochastic demand and the demand dependent the unit production cost are considered. Shortages are allowed and partially backordered. The main objective of this paper is to determine selling price, mar...

This study models a joint pricing, inventory, and preservation decision-making problem for deteriorating items subject to stochastic demand and promotional effort. The generalized price-dependent stochastic demand, time proportional deterioration, and partial backlogging rates are used to model the inventory system. The objective is to find the optimal pricing, replenishment, and preservation t...