Queueing-Inventory System for Two Commodities with Optional Demands of Customers and MAP Arrivals
نویسندگان
چکیده
This research analyses the performance of a perishable queueing-inventory system for two commodities with optional customers demands. We assume in article that all who come to can only purchase first item or second service (they do not both items). is original aspect paper. show significance impact demands on system’s performance, which purpose In this system, arrive, using Markovian arrival process (MAP), demand single unit. The composed waiting hall limited capacity F. arriving customer observes filled stock stage zero, and they decide leave system. steady-state case, joint probability distribution commodity, number are computed matrix geometric methods. evaluate diverse measures. Finally, we provide numerical illustration optimal value parameters highlights results implications article.
منابع مشابه
A queueing-inventory system with two classes of customers
We consider a queueing-inventory system with two classes of customers. Customers arrive at a service facility according to Poisson processes. Service times follow exponential distributions. Each service uses one item in the attached inventory supplied by an outside supplier with exponentially distributed lead time. We find a priority service rule to minimize the long-run expected waiting cost b...
متن کاملPerishable Inventory System with Postponed Demands and Negative Customers
This article considers a continuous review perishable (s,S) inventory system in which the demands arrive according to a Markovian arrival process (MAP). The lifetime of items in the stock and the lead time of reorder are assumed to be independently distributed as exponential. Demands that occur during the stock-out periods either enter a pool which has capacity N(<∞) or are lost. Any demand tha...
متن کاملQueueing Inventory System in a Two-level Supply Chain with One-for-One Ordering Policy
Consider a two-level inventory system consisting of one supplier and one retailer. The retailer faces a Poisson demand with a known rate and applies base stock (one-for-one ordering) policy. That is, his inventory position is set to a pre-determined level, so the demand pattern is transferred exactly to the supplier. The supplier has an inventory system and a service unit with exponentially dis...
متن کاملA 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...
متن کاملTwo-Heterogeneous Server Markovian Queueing Model with Discouraged Arrivals, Reneging and Retention of Reneged Customers
Customer impatience (reneging) has negative impact on the performance of queueing systems. If we talk from business point of view, firms lose their potential customers due to customer impatience which affects their business as a whole. It is envisaged that if the firms employ certain customer retention strategies then there are chances that a certain fraction of impatient customers can be ret...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10111801