A retrial inventory system with priority customers and second optional service

Jeganathan, K.; Kathiresan, J.; Anbazhagan, N.

doi:10.1007/s12597-016-0261-x

Cited by 14 publications

(11 citation statements)

References 15 publications

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“…Jeganathan and coauthors investigate in a sequence of papers (e.g. [JKA16], [Jeg15], [YAJ15]) queueing-inventory systems with two classes of customers. They consider models with impatient customers, an optional second service and a mixed priority service (non-preemptive priority and preemptive priority).…”

Section: Related Literature and Own Contributionsmentioning

confidence: 99%

Stability of queueing-inventory systems with different priorities

Otten¹,

Daduna²

2022

Preprint

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We study a production-inventory system with two customer classes with different priorities which are admitted to the system following a flexible admission control scheme. The inventory management is according to a base stock policy and arriving demand which finds the inventory depleted is lost (lost sales). We analyse the global balance equations of the associated Markov process and derive structural properties of the steady state distribution which provide insights into the equilibrium behaviour of the system. We derive a sufficient condition for ergodicity using the Foster-Lyapunov stability criterion. For a special case we show that the condition is necessary as well.

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Section: Related Literature and Own Contributionsmentioning

confidence: 99%

Stability of queueing-inventory systems with different priorities

Otten¹,

Daduna²

2022

Preprint

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“…Other matrices are have size 2S 2 (3N + 1). Elements of the above matrices can obtained easily, for details see [3]. From the construction of  , it is trivially say that L(t) on the finite SS E is Regular.…”

Section: Analysis Of the Modelmentioning

confidence: 99%

Mathematical Analysis of Queueing-Inventory Model with Compliment and Multiple Working Vacations

Lakshmanan,

Jeganathan*

2019

IJEAT

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In this paper, we provide independent continuous review of stock for two commodities, namely commodity 1(C1) and 2 (C2). The type 1(T1) customer demands C1 and Type 2(T2) customer demands C2 but C2 is also given to T1 customer as a compliment (i.e. C2 is also given as a compliment to C1). The arrival pattern of customers is from a finite source of population. The ordering policies of both commodities are independent and also, each customer demands service with positive time. A single finite retrial orbit is allowed for any customer, when the demanding item is stocked out or the server is busy. The pre-emptive priority service policy is assigned to T1 customer over T2 customer. The server may go for the working vacation as C1 becomes zero, in which T2 customer who is taking his service is allowed to orbit whenever T1 customer demands the service with both commodities and when the orbit is not full. The joint limiting distributions of four random variables are studied under steady state. Long run expected total cost rate and measures of system performance are derived.

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“…As a related work, Ushakumari (2006) considered RQIS with classical retrial policy. Yadavalli et al (2018), Jeganathan et al (2016Jeganathan et al ( , 2013 have studied RQIS in details. In many real life stuations (e.g.…”

Section: Introductionmentioning

confidence: 99%

A retrial queueing-inventory system with service option on arrival and Multiple vacations

Kathiresan¹,

Jeganathan²,

Anbazhagan³

2019

JAS

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New models of a retrial queueing inventory system with finite buffer and two types of services (say, Type-1 and Type-2) are proposed. Here we discuss a type 1 service, in which a customer enters in the system and receives the service only. In the type-2 service, a customer gets the service and the level of inventory is reduced to one (demand an item). Some important system performance measures in the steady state are derived and long-run total expected cost rate of the proposed model is developed. The results of the numerical examples are shown .

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A retrial inventory system with priority customers and second optional service

Cited by 14 publications

References 15 publications

Stability of queueing-inventory systems with different priorities

Stability of queueing-inventory systems with different priorities

Mathematical Analysis of Queueing-Inventory Model with Compliment and Multiple Working Vacations

A retrial queueing-inventory system with service option on arrival and Multiple vacations

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