We consider the problem of minimizing the overall cost of a supply chain, over a possibility long horizon, under demand uncertainly which is known only crudely. Under such circumstances, the method of choice is Robust Optimization, in particular the Affinely Adjustable Robust Counterpart (AARC) method which leads to tractable deterministic optimization problems. The latter is due to a recent re...

We consider a liquid type of a deteriorating item which is packaged by an outside supplier and is delivered to final customers by a distributor. Customers arrive according to a Poisson process and ask for an integer number of packages. Unsatisfied demands are backordered. The inventory is reviewed continuously and replenished from an external supplier with a positive deterministic lead time fol...

This paper examines the utility of fuzzy control over crisp in situations where the control opportunities are limited and the system response to control actions is delayed. Such situations are often encountered in production systems where limited resources restrict the control opportunities and the operation time delays the response. The performance of a real-time production-inventory control s...

Inventory or material balance control is an important part of process control. In the literature, many rules have been proposed to help in designing such systems, but their justification is often unclear. The main contribution of this paper is to propose the more general localconsistency rule for evaluating inventory control systems. Consistency means that the steadystate mass balances (total, ...

There is considered a two-level single-product inventory control system which controls correspondingly the wholesale’s warehouse and the customers’ warehouses. For delivering the product there has been organized a supply chain “producer – wholesaler – customer”. It is assumed that the customers and the wholesaler shape their stocks having in mind the minimization of the total costs of the produ...

This paper proposes an inventory control model for fixed deterioration and Logarithmic demand rat for the optimal stock of commodities to meet the future demand which may either arise at a constant rate or may vary with time. The analytical development is provided to obtain the optimal solution to minimize the total cost per time unit of an inventory control system. Numerical analysis has been ...

Practical experience and scientific research show that there is scope for improving the performance of inventory control systems by delaying a replenishment order that is otherwise triggered by generalised and all too often inappropriate assumptions. This paper presents the first analysis of the most commonly used continuous (s, S) policies with delayed ordering for inventory systems with compo...

Most inventory management systems at hospital departments are characterised by lost sales, periodic reviews with short lead times, and limited storage capacity. We develop two types of exact models that deal with all these characteristics. In a capacity model, the service level is maximised subject to a capacity restriction, and in a service model the required capacity is minimised subject to a...

This paper is on production planning and inventory control in systems where manufacturing and remanufacturing operations occur simultaneously. Typical for these hybrid systems is, that both the output of the manufacturing process and the output of the remanufacturing process can be used to fulfil customer demands. Here, we consider a relatively simple hybrid system, related to a single componen...