Continuous-type(s,Q)-inventory model with an attached M/M/1 queue and lost sales

التفاصيل البيبلوغرافية
العنوان: Continuous-type(s,Q)-inventory model with an attached M/M/1 queue and lost sales
المؤلفون: Soohan Ahn, Jung Woo Baek, Ho Woo Lee, Yun Han Bae
المصدر: Performance Evaluation. 125:68-79
بيانات النشر: Elsevier BV, 2018.
سنة النشر: 2018
مصطلحات موضوعية: Inventory control, Independent and identically distributed random variables, Queueing theory, Mathematical optimization, 021103 operations research, Exponential distribution, Computer Networks and Communications, 0211 other engineering and technologies, M/M/1 queue, 02 engineering and technology, 01 natural sciences, 010104 statistics & probability, Hardware and Architecture, Joint probability distribution, Modeling and Simulation, 0101 mathematics, Random variable, Queue, Software, Mathematics
الوصف: In this study, we consider an M/M/1 queuing model with an attached continuous-type inventory. Customers arrive in the system according to a Poisson process and are served individually on a first-come, first-served basis. The service times of customers are assumed to be independent and identically distributed exponential random variables. Along with the queue, there is an internal finite storage for the inventory and each service requires an exponentially distributed random amount H of inventory from the storage. Therefore, a customer leaves the system with H amount of item at his/her service completion time. The inventory is replenished by an outside supplier with a random lead time under an ( s , Q ) inventory control policy. We assume that the customers who arrive during stock-out periods are lost (lost sales). For this queuing-inventory system, we derive the stationary joint probability distribution of queue length and inventory level in explicit product form. Numerical examples followed by a cost model are also presented.
تدمد: 0166-5316
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::b3f514847e23bfa1553492a68a29cdc3
https://doi.org/10.1016/j.peva.2018.07.003
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........b3f514847e23bfa1553492a68a29cdc3
قاعدة البيانات: OpenAIRE