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2023 | 33 | nr 2 | 121--153
Tytuł artykułu

A Comparative Analysis of (s, Q) and (s, S) Ordering Policies in a Queuing-Inventory System with Stock-Dependent Arrival and queue-dependent service process

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article deals with a Markovian queuing-inventory system (MQIS) under the stochastic modeling technique. The arrival stream of this system is dependent on the present stock level at an instant. Meanwhile, the system focuses on reducing the waiting time of a unit by assuming a queue-dependent service policy (QDSP). The system consists of an infinite waiting hall to receive an arriving unit. The MQIS assumes that no unit of arrival is allowed when the stock level of the system is empty. The discussion of this MQIS runs over the two types of ordering principles named 1) (s, Q) 2) (s, S). According to both ordering principles, the assumed arrival and service patterns have been considered separately and classified as Model-I (M-I) and Model-II (M-II) respectively. The steady state of the system for both M-I and M-II is analysed and resolved under the Neuts matrix-geometric technique. The system performance measures of the system are also computed. The expected cost function of both M-I and M-II are constructed as well. Further, the necessary numerical illustrations are provided and distinguished for M-I and M-II to explore the proposed model. This paper finds the optimum ordering policy to execute the stock-dependent arrival and queue-dependent service strategies. (original abstract)
Rocznik
Tom
33
Numer
Strony
121--153
Opis fizyczny
Twórcy
  • Queen Mary's College, Chennai, India
  • Queen Mary's College, Chennai, India
  • University of Madras, Chennai, India
  • University of Madras, Chennai, India
  • Guru Nanak College (Autonomous), Chenna, India
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171672546

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