Queueing-Inventory System with Two Commodities

Benny, Binitha; Chakravarthy, Srinivas; Krishnamoorthy, A.

doi:10.1007/s41096-018-0052-1

Cited by 12 publications

(4 citation statements)

References 8 publications

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“…Zhao and Lian [19] studied a priority M/M/1 queuing-inventory model with two demand classes. Benny et al [20] studied a model with two types of inventory items. They derived the stationary joint distribution by adapting the (s,S) control policy for each commodity item.…”

Section: Literature Review and Motivationmentioning

confidence: 99%

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On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed

Baek

2024

Mathematics

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This paper considers a make-to-order production–inventory system that comprises a production facility and an inventory warehouse. Customers arrive at the facility to place an order, and the orders are processed using the first-come-first-served (FCFS) discipline. The warehouse supplies inventory items (raw materials) for the production process, and the warehouse inventory is replenished by internal production. The speed of internal production can be controlled through additional costs. If the inventory level drops to zero, the unmet demand waits in the facility until the inventory is replenished. During the stockout period, newly arriving demand is lost. The stationary joint probability of unmet demands and inventory items is derived, and a cost model is constructed. The optimal control policy for internal production is investigated to minimize the cost per unit time of the system. The experimental results show that such a production speed adjustment could reduce costs by up to 42% compared to the cases without the adjustment.

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Section: Literature Review and Motivationmentioning

confidence: 99%

“…The theorem can be proved by directly substituting the equations given by ( 19) and (20) into Equations ( 7)- (18). Let ρ = λ/µ.…”

Section: Conflicts Of Interestmentioning

confidence: 99%

On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed

Baek

2024

Mathematics

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“…The area of multi-type queueing inventory seems to have received very little attention even though many works on multi-type inventories are available. Benny, Chakravarthy, and Krishnamoorthy [2] studied a single server queueing-inventory system with two commodities in which the system has finite storage space for each type. This model is analyzed using the matrix analytic method.…”

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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“…However, Yadavalli et al [33] made the ordering quantity of each up to its maximum stock level. A TC inventory system with a single server was considered by Binitha Benny et al [8]. The buffer capacity in this paper will be finite.…”

Section: Introductionmentioning

confidence: 99%

A Markovian Two Commodity Queueing–inventory System With Compliment Item and Classical Retrial Facility

Nithya¹,

Sugapriya²,

Selvakumar

et al. 2022

UMJ

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This paper explores the two-commodity (TC) inventory system in which commodities are classified as major and complementary items. The system allows a customer who has purchased a free product to conduct Bernoulli trials at will. Under the Bernoulli schedule, any entering customer will quickly enter an orbit of infinite capability during the stock-out time of the major item. The arrival of a retrial customer in the system follows a classical retrial policy. These two products' re-ordering process occurs under the \((s, Q)\) and instantaneous ordering policies for the major and complimentary items, respectively. A comprehensive analysis of the retrial queue, including the system's stability and the steady-state distribution of the retrial queue with the stock levels of two commodities, is carried out. The various system operations are measured under the stability condition. Finally, numerical evidence has shown the benefits of the proposed model under different random situations.

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Queueing-Inventory System with Two Commodities

Cited by 12 publications

References 8 publications

On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed

On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed

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

A Markovian Two Commodity Queueing–inventory System With Compliment Item and Classical Retrial Facility

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