Two-commodity queueing-inventory system with two classes of customers

Ozkar, Serife; Kocer, Umay Uzunoglu

doi:10.1007/s12597-020-00479-0

Cited by 11 publications

(2 citation statements)

References 21 publications

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“…This model is analyzed using the matrix analytic method. The analysis of a two commodity queueing inventory with two classes of customers was carried out by Ozkar and Kocer [3]. In [4] Altiok and Shiue discussed a manufacturing system with multiple products.…”

Section: Introductionmentioning

confidence: 99%

A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra

Lal¹,

Joshua

Vishnevsky

et al. 2022

Mathematics

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The model discussed in this paper provides an efficient mechanism for the selection and allocation of available limited spectra for transmission of heterogeneous data in a network. The data packets (customers), belonging to different classes, arrive according to a batch marked the Markovian arrival process (BMMAP). The inventory considered is of multi-type (different types of channels becoming available) and are generated according to a marked Markovian arrival process (MMAP). The number of distinct types of inventory and that of the customers are the same. Arriving customers are allowed to wait in finite buffers of each category which are reserved for distinct classes of customers except for the most general class, which is provided with an infinite waiting space. The number of servers also equals the number of distinct types of inventory. When items of a particular type arrive in the inventory, the service starts, providing the buffer of customers of the corresponding class is non-empty. The service can be viewed as a selection process with Coxian distributed service times. The system is analyzed using the matrix analytic method and performance measures are obtained. The model is illustrated with suitable numerical examples.

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Section: Introductionmentioning

confidence: 99%

A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra

Lal¹,

Joshua

Vishnevsky

et al. 2022

Mathematics

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show abstract

“…This modification considerably complicates performance assessments, as the corresponding stochastic model now consists of two coupled 'queues': a decoupling inventory and an order backlog. See, e.g., [27][28][29][30] for other applications of coupled queueing systems and [31][32][33][34] for Markovian systems that include both queueing and inventory management. The performance of this hybrid MTS/MTO system is assessed when the same production capacity is used for MTS and MTO.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Hybrid MTS/MTO Systems with Stochastic Demand and Production

et al. 2020

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We present a comprehensive numerical approach with reasonably light complexity in terms of implementation and computation for assessing the performance of hybrid make-to-stock (MTS)/make-to-order (MTO) systems. In such hybrid systems, semi-finished products are produced up front and stored in a decoupling inventory. When an order arrives, the products are completed and possibly customised. We study this system in a stochastic setting: demand and production are modelled by random processes. In particular, our model includes two coupled Markovian queues: one queue represents the decoupling inventory and the other the order backlog. These queues are coupled as order processing can only occur when both queues are non-empty. We rely on matrix analytic techniques to study the performance of the MTO/MTS system under non-restrictive stochastic assumptions. In particular, we allow for arrival correlation and non-exponential setup and MTS and MTO processing times, while the hybrid MTS/MTO system is managed by an (s,S)-type threshold policy that governs switching from MTO to MTS and back. By some numerical examples, we assess the impact of inventory control, irregular order arrivals, setup and order processing times on inventory levels and lead times.

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Two-commodity queueing-inventory system with phase-type distribution of service times

Ozkar

2022

Ann Oper Res

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Two-commodity queueing-inventory system with two classes of customers

Cited by 11 publications

References 21 publications

A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra

A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra

Performance Analysis of Hybrid MTS/MTO Systems with Stochastic Demand and Production

Two-commodity queueing-inventory system with phase-type distribution of service times

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