Abstract In this paper, an inventory problem where the cycle must be integer multiple of a known basic period is considered. Furthermore, demand rate in each power time-dependent function. Shortages are allowed but, taking necessities or interests customers into account, only fixed proportion during stock-out satisfied with arrival next replenishment. The costs related to management system orde...

The bullwhip effect, a well known phenomenon occurring in business activity where the demand information is not fully shared among the members of supply chain, conducts the upstream manufacturer to excessively anticipate the demand capacity of the downstream retailer. The manufacturer improperly decides the amount of the products not only to raise the inventory cost on the way of poorly handlin...

We consider an optimization problem for a multiclass queueing model of a decentralized production-distribution system: A single server can produce a variety of products, and completed units pass through an infinite server delay node on their way to a warehouse inventory. Each product has its own warehouse, demand for each product is satisfied by its associated inventory, and unsatisfied demand ...

This work presents a novel interactive possibilistic linear programming (PLP) approach for solving the multiproduct aggregate production planning (APP) problem with imprecise forecast demand, related operating costs, and capacity. The proposed approach attempts to minimize total costs with reference to inventory levels, labor levels, overtime, subcontracting and backordering levels, and labor, ...

We study a periodically reviewed, serial inventory system in which excess demand from external customers is lost. We derive elementary properties of the vector of optimal order quantities in this system. In particular, we derive bounds on the sensitivity (or, more mathematically, the derivative) of the optimal order quantity at each stage to the vector of the current inventory levels. Our analy...

This paper presents a multi-product multi-period inventory problem with random replenishment intervals and fuzzy costs under space and shortage level constraints. Since the costs (purchasing, holding and backordering) related to inventory system are often imprecise and the replenishment intervals are random in real life, the proposed model is also fuzzy-random Here, the replenishment intervals ...

Several researchers have recently derived formulae for economic order quantities (EOQs) with some variants without reference to the use of derivatives, neither for first-order necessary conditions nor for second-order sufficient conditions. In addition, this algebraic derivation immediately produces an individual formula for evaluating the minimum expected total annual cost. The purpose of this...

We consider a stock point for expensive, low-usage items that is operated by multiple decision makers. Each faces a Poisson demand process, and the joint stock point is controlled by a continuous-review base stock policy with full backordering. We consider penalty costs for backorders and holding costs for stock on hand. For this model, we derive structural properties of the resulting cost func...