This paper discusses the issue of order crossover and its effects in order point, lot size (s, Q) inventory systems. Orders are likely to cross when their lead times are stochastic. Two inventory systems are considered to examine the consequences of order crossover. The first inventory system considers a fast moving item having deterministic demand and stochastic lead time. It is assumed lead t...

Manufacturing and service systems typically have random components affecting their behavior such as the demand for products and services. Much of the focus will be given on understanding and applying quantitative methods that are useful in analyzing, designing, and operating stochastic systems. We will additionally present applications of these methods for understanding, managing and reducing v...

a r t i c l e i n f o Keywords: Stochastic dynamic programming Risk-reward heuristic Mean–variance analysis Efficient frontier analysis Inventory management Traditionally inventory management models have focused on risk-neutral decision making with the objective of maximizing the expected rewards or minimizing costs over a specified time horizon. However, for items marked by high demand volatil...

in this study, a new stochastic model is proposed to deal with a multi-product, multi-period, multi-stage, multi-site production and transportation supply chain planning problem under demand uncertainty. a two-stage stochastic linear programming approach is used to maximize the expected profit. decisions such as the production amount, the inventory level of finished and semi-finished product, t...

in classic inventory control system, we assume that purchasing cost should be paid at time of delivery. but sometimes in order to encourage retailer to increase his order, postpond payment is provided by supplier as an incentive policy for retailer. in this paper a periodic inventory control model is invetigated in which the period between two consecutive replenishmnet is a random variable. in ...

Variability, in general, has a deteriorating effect on the performance of stochastic inventory systems. In particular, previous results indicate that demand variability causes a performance degradation in terms of inventory related costs when production capacity is unlimited. In order to investigate the effects of demand variability in capacitated production settings, we analyse a make-to-stock...

We recently introduced a new stochastic Petri net model called “batch deterministic and stochastic Petri nets” (BDSPNs) capable of describing the synchronization of discrete and batch token flows in discrete batch processes. It is a powerful formal model for the study of inventory systems and supply chains where materials are processed or ordered in finite discrete quantities (batches) and many...

in this research, an integrated inventory problem is formulated for a single-vendor multiple-retailer supply chain that works according to the vendor managed inventory policy. the model is derived based on the economic order quantity in which shortages with penalty costs at the retailers` level is permitted. as predicting customer demand is the most important problem in inventory systems and th...