In this paper we investigate the (R, S) periodic review, order-up-to level inventory control system with stochastic demand and variable leadtimes. Variable leadtimes can lead to order crossover, in which some orders arrive out of sequence. Most theoretical studies of order-up-to inventory systems under variable leadtimes assume that crossovers do not occur and, in so doing, overestimate the sta...

This study contributes to the literature on supply chain coordination by coordinating the research and development (R&D) effort, retail price, and inventory decisions. It investigates a real case in the home appliance industry. The main purpose of this study is to examine the optimal values of R&D effort, pricing, and inventory decisions under decentralized and centralized structures. Then, a d...

In this paper, a socially responsible supply chain consisting of one supplier and one retailer is proposed. The supplier decides on replenishment cycle multiplier and the retailer invests in corporate social responsibility (CSR) and decides on the order-up-to-level under a periodic review replenishment policy. The retailer’s decisions impact on the supplier’s probability as well as the supply c...

The main purpose of this study is to investigate the periodic inventory model with backorder price discounts, where shortages are partially backlogged. The application of just-in-time (JIT) philosophy i.e., crashing of the lead-time and setup cost has been carried component wise. Two cases have been discussed viz 1 protection interval demand distribution is known (normal distribution approach) ...

We consider a single-item, periodic-review inventory model with uncertain demands in which each period's production volume is limited by a capacity level. The demand distributions, capacity levels, and cost parameters vary according to a periodic pattern. We prove that modified base-stock policies are optimal for the finite-horizon planning model and for both the infinite-horizon discounted and...

In this paper we address the long-standing problem of finding computationally efficient and provably good inventory control policies in supply chains with correlated and nonstationary (time-dependent) stochastic demands. This problem arises in many domains and has many practical applications such as dynamic forecast updates (for some applications see Erkip et al. 1990 and Lee et al. 1999). We c...

Abstract: While in multi-periodic inventory control problems the usual assumption are that the orders are placed at the beginning of each period (periodic review) or depending on the inventory level they can happen at any time (continuous review), in this research, we relax these assumptions and assume that the periods between two replenishments of the products are independent and identically d...

Multi-periodic inventory control problems are mainly studied by employing one of two assumptions. First, the continuous review, where depending on the inventory level, orders can happen at any time, and next the periodic review, where orders can only be placed at the beginning of each period. In this paper, we relax these assumptions and assume the times between two replenishments are independe...