In this paper, we devise a framework for obtaining the optimal ordering policy in a single location, continuous review inventory system with arbitrary inter-demand times. We show that it is optimal to order at demand arrival epochs only if the inter-demand time has constant or decreasing failure rate (CFR or DFR). When the inter-demand time has increasing failure rate (IFR), we show that the op...

The inventory system under consideration consists of one central warehouse and an arbitrary number of retailers controlled by a continuous review inventory policy (R;Q). Independent Poisson demands are assumed with constant transportation times for all retailers and a constant lead time for replenishing orders from an external supplier for the warehouse. Unsatis ed demands are assumed to be los...

Supply chain management (SCM) addresses the management of materials and information across the entire chain from suppliers to producers, distributors, retailers, and customer. The theory of supply chain management suggests that lead time reduction is a pioneer to the use of market mediation to reduce transaction uncertainty in the chain, which can be conceptualized as the primary goal of supply...

Inventory model under risk that demand is uncertain is recognized. In this paper, the fuzzy demand per day and fuzzy lead time on a cycle in fuzzy inventory control system are assumed to trapezoidal distribution, trapezoidal fuzzy number by decision maker. A fuzzy inventory model under manager’s preference for order quantity is presented first. This model is given by fuzzy total annual inventor...

We analyze an infinite horizon, single-product, periodic review model in which pricing and production/inventory decisions are made simultaneously. Demands in different periods are identically distributed random variables that are independent of each other, and their distributions depend on the product price. Pricing and ordering decisions are made at the beginning of each period, and all shorta...

Cobb-Douglas Production Function was widely used in economics and productivity studies across many sectors. The function's quantitative modeling of resource inputs and production outputs is appealing to the research domain of construction management. In this thesis we explored this function's application in construction schedule crashing and project risk analysis related to duration of construc...

We study stochastic inventory planning with lost sales, where contrary to classical inventory theory, the knowledge of the demand distribution is not available a priori. While the manager observes the sales quantities in each period, lost sales are unobservable, i.e., demand data is censored. The decision in each period depends only on historical sales data. Excess inventory is either perishabl...

In this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (MQr/M/1) is modeled to find the optimal quantities of maximum inventory. The objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

We analyze an infinite horizon, single product, periodic review model in which pricing and production/inventory decisions are made simultaneously. Demands in different periods are identically distributed random variables that are independent of each other and their distributions depend on the product price. Pricing and ordering decisions are made at the beginning of each period and all shortage...