This paper tackles a generalization of the weight constrained shortest path problem in a directed network (WCSPP) in which replenishment arcs, that reset the accumulated weight along the path to zero, appear in the network. Such situations arise, for example, in airline crew pairing applications, where the weight represents duty hours, and replenishment arcs represent crew overnight rests, and ...

The replenishment staggering problem is the problem of offsetting inventory replenishment cycles of several items in order to minimize the maximum required storage space and/or other storage resources. In its simplest version, inventory consumption rates are constant over time and replenishment cycle lengths are known integer multiples of a given basic period. In this paper, a simple, efficient...

We study a non–cooperative game for joint replenishment by n firms that operate under an EOQ–like setting. Each firm decides whether to replenish independently or to participate in joint replenishment,and how much to contribute to joint ordering costs in case of participation. Joint replenishment cycle time is set by an intermediary as the lowest cycle time that can be financed with the private...

Abstract In this paper, we consider a combination of the joint replenishment problem (JRP) and single-machine scheduling with release dates. There is single machine one or more item types. Each job has date, positive processing time, it requires subset items. A can be started at time t only if all required types were replenished between date point . The ordering for distinct jobs combined. obje...

This paper deals with the determination of production-shipment policy for an integrated vendor-buyer system. The inventory model contains two decision variables: the replenishment lot size and the number of deliveries. This paper solves the inventory model considering two cases: 1) the replenishment lot size as continuous variable and the number of shipments as discrete variable, and 2) the rep...

This paper develops a mathematical model using differential equations and considers a bullwhip effect in a supply chain network with multiple retailers and distributors. To ensure the stability of the entire system and reduce the bullwhip effect, a robust control method and an inventory replenishment policy are proposed. This shows that the choice of the output matrix may reduce the bullwhip ef...

In this paper we develop an economic order quantity model to investigate the optimal replenishment policies for instantaneous deteriorating items under inflation and trade credit. Demand rate is a linear function of selling price and decreases negative exponentially with time over a finite planning horizon. Shortages are allowed and partially backlogged. Under these conditions, we model the ret...

Electric warm-water lavage toilet seats are in wide use as an appliance beneficial for the maintenance of hygiene and the prophylaxis and improvement of conditions such as constipation and hemorrhoids. In this study, we surveyed the bacterial content in the lavage water of warm-water lavage toilet seats, and fecal bacterial contamination of the gluteal and genital regions due to droplet infecti...

This paper analyses a discrete-time (s, S) queueing inventory model with service time and back-order in inventory. The arrival of customers is assumed to be the Bernoulli process. Service follows geometric distribution. As soon as level reaches pre-assigned due demands, an order for replenishment placed. Replenishment also When reduces zero or non-replenishment items, maximum k are allowed syst...