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 ...

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...

We resurrect the question if improved business practices contributed to increased macroeconomic stability since the 1980s – the Great Moderation. While previous studies on the issue are limited to examining inventory management, we analyse the role of better supply chain management on enhancing firms’ ability to coordinate their production. By investigating ordering and backordering behaviour i...

A manufacturing facility consisting of two stations in tandem operates in a maketo-stock mode: after production, items are placed in a finished goods inventory that services an exogenous demand. Demand that cannot be met from inventory is backordered. Each station is modelled as a queue with controllable production rate, and the problem is to control these rates to minimize inventory holding an...

Stock rationing is an inventory policy that allows differential treatment of customer classes without using separate inventories. In this paper, we propose a dynamic rationing policy for continuous review inventory systems, which utilizes the information on the status of the outstanding replenishment orders. For both backordering and lost sales environments, we conduct simulation studies to com...

demand is assumed constant in the classical economic order quantity (eoq) model. however, in the real world, the demand is dependent on many factors such as the selling price, warranty of product and marketing effort. in addition pricing and ordering quantity decisions are interdependent for a seller when demand for the product is price sensitive in the inventory models. these types of models a...

Supply chain uncertainties pose a massive and ever-present challenge for modern companies. These can manifest in two contrasting scenarios: supply surplus, where companies have excess items, shortages, there is an insufficient quantity of goods. Each situation demands different approach from businesses to adapt the varying outcomes maintain competitive edge market. Product backordering one impo...