Control of G/MX/1 Queueing System with N-Policy and Customer Impatience

A Queueing-Inventory System with Repair Center for Defective Items and One-for-One Ordering Policy

In this paper we consider a system consisting of a supplier with a single processing unit, a repair center, and a retailer with Poisson demand. We assume that the retailer applies one-for-one ordering policy with backorders for his inventory control. The retailer’s orders form a queue in the supplier processing unit. We also assume that a certain fraction of the products produced by the supplie...

The Impact of Customer Impatience on Production Control

Most analyses of make-to-stock production control assume that either all orders are eventually met (complete backordering) or that no customers are willing to wait (lost sales). We consider a more nuanced model of customer behavior, where the fraction of potential customers who place orders depends on the current backlog, and hence the lead time. A continuous one-part-type, single machine model...

Threshold F-policy and N-policy for multi-component machining system with warm standbys

The integration of marketing and demand with logistics and inventories (supply side of companies) may cause multiple improvements; it can revolutionize the management of the revenue of rental companies, hotels, and airlines. In this paper, we develop a multi-objective pricing-inventory model for a retailer. Maximizing the retailer's profit and the service level are the objectives, and shorta...

Control policy of a hysteretic bulk queueing system

K e y w o r d s B a t c h arrival, Bulk service, Hysteresis, Embedded Markov chain, Semiregenerative process, Control policy. 1. I N T R O D U C T I O N The goal of this paper is to design an optimal control policy for a batch arrival, bulk service queueing system under N-policy. In this system, customers arrive to the queueing facility in groups of random size and are served in groups of a fix...

Stability of a priority queueing system with customer transfers