We consider a two-echelon single commodity inventory system with one warehouse(supplier) at the higher echelon and one retailer at the lower echelon. The retailer stocks individual items of a commodity and satisfies unit demands which occur according to a Poisson process. The supplier stocks these items in packets and uses these packetsto: (i) satisfy the demands that occur for single packet an...

This paper analyses update ordering and its impact on the performance of a distributed replication system. We propose a model for update orderings and constraints and develop a number of algorithms for implementing different ordering constraints. A performance study is then carried out to analyse the update-ordering model. We show that our model allows the definition of an ordering constraint o...

Rationing is an inventory policy that allows prioritization for different demand classes. This prioritization results in a different service level for each demand class. The mechanism through which the rationing policy is implemented is to stop serving lower priority classes when the inventory on hand drops below a certain critical level. Under this level, only higher priority classes are serve...

UNDER INCOMPLETE OBSERVATION PART n Hajime Kawai University of Osaka Prefecture (Received July 6, 1982; Revised June 29, 1983) We consider an optimal ordering and replacement policy of a discrete time Markovian deterioration system when the observation of the system is incomplete. The problem is to examine the structure of an optimal policy which minimizes the total expected discounted cost in ...

This paper considers the joint economic lot-sizing problem (JELP) for multi-layer supply chain with multi-retailers and single manufacturer and supplier. The paper extends the work of (Ben-Daya et al., 2013) and relaxes the assumption of deterministic demand and constant holding and ordering costs. The paper proposes modifying four computational intelligent algorithms to solve mixed integer pro...

We investigate the effectiveness of an (s, S, p) policy relative to an (s, S, A, p) policy in a single product, periodic review, finite horizon model with stochastic multiplicative demand and fixed ordering cost, in which an (s, S, A, p) policy is optimal. An extensive numerical study shows that empirically an (s, S, p) policy is highly effective relative to an (s, S, A, p) policy. We also form...

Word-Level Decision Diagrams (WLDDs), like *BMDs and K*BMDs, have recently been introduced as a data structure for veriication. The size of WLDDs largely depends on the chosen variable ordering , i.e. the ordering in which variables are encountered , and on the decompositions carried out in each node. In this paper we present a framework for dynamic minimization of WLDDs. We discuss the dii-cul...

In this paper, we establish a new preservation property of quasi-K-concavity under certain optimization operations. One important application of the result is to analyze joint inventory-pricing models for single-product periodic-review inventory systems with concave ordering costs. At each period, an ordering quantity and a selling price of the product are determined simultaneously. Demand is r...