Production inventory with service time and interruptions

Krishnamoorthy, A.; Nair, Sajeev S.; Narayanan, Viswanath C.

doi:10.1080/00207721.2013.837538

Cited by 12 publications

(6 citation statements)

References 10 publications

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“…Also, they provided an analysis of the system separately when production is on and they propose a novel approach for the computation of the expected length of a production run. Krishnamoorthy et al (2015) discussed a production inventory system with positive service time where the server and the production process are subject to interruptions. In their study, customers arrive to the system according to Poisson process; the service times and the production times are follows Erlang distributions.…”

Section: Introductionmentioning

confidence: 99%

MAP/PH/1 Üretim Envanter Modeli

Ozkar

2023

UUJFE

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In this study, a production inventory model with phase type service times where customers join the system occur according to a Markovian arrival process is discussed. When the inventory level is positive, if an arriving customer finds the server idle gets into service immediately. Served customer leaves the system and the on-hand inventory is decreased one unit of item at service completion epoch. Otherwise, the customer enters into a waiting space (queue) of infinite capacity and waits for get served. The production facility produces items according to an (s,S) policy. The production is switched on when the inventory level depletes to s and the production remains on until the inventory level reaches to the maximum level S. Once the inventory level becomes S, the production process is switched off. Applying the matrix-geometric method, we carry out the steady-state analysis of the production inventory model and perform a few illustrative numerical examples includes the effect of parameters on the system performance measures and an optimization study for the inventory policy.

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Section: Introductionmentioning

confidence: 99%

MAP/PH/1 Üretim Envanter Modeli

Ozkar

2023

UUJFE

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“…Sivakumar [13] considered a retrial demand inventory system and calculated the joint probability distribution of the inventory level, total expected cost and the number of customers in the orbit. Krishnamoorthy et al [14] analyzed a production inventory system with service time and interruptions. They derived the necessary and sufficient condition for the stability of the system.…”

Section: Introductionmentioning

confidence: 99%

Modelling of an $M/M/2$ production inventory system with multiple vacation

Beena¹,

Jose²

2020

Malaya J. Mat.

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The paper analyzes an M/M/2 multiple vacations production inventory system with two heterogeneous servers. Server 2 avails multiple vacation, whereas the other one continues static even when the system is vacant. At a time one unit of order arrive from customers randomly. We model the system according to (s, S) policy and the products are manufactured one at a time. The arrival of demands is according to a Poisson process. The duration of the vacation time of server 2 is exponentially distributed. Once the stock position goes down to s, the manufacturing procedure is started and it ceases at the point when the stock position is at the largest extent S. The time gap between the replenishment of two successive items is also distributed exponentially with rate β. Matrix Geometric Method is employed to derive the steady state solution. Several measures of performance in the steady state are derived. An appropriate cost function is constructed and numerical experiments are conducted to obtain the optimum value of the cost function for parameter values.

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“…Kalidass and Kasturi [2] discussed a slower rate of service with a queue, when the server is in breakdown condition. Further, with reference [1,3] interruption on various inventory problems are studied.…”

Section: Introductionmentioning

confidence: 99%

A Queueing Inventory System with Server Working Breakdown

Lakshmi¹,

Jeganathan*²,

Ahmed³

et al. 2019

IJITEE

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This paper considers a single server inventory queueing system with two types of server breakdowns, say Type 1(T1) breakdown and Type 2 (T2) breakdowns, and working breakdown. T1 breakdown occurs in regular service period whereas T2 breakdown occurs in the duration of working breakdown. The inter arrival time between any two customers and the times of occurrences of both types of breakdowns are all independent exponential distributions. The commencement of repairing process of T1 breakdown follows Bernoulli’s whereas the commencement of repairing process of T2 breakdown is instantaneous. By using matrix method, we obtain the steady state probability vector of the finite capacity queueing inventory system. Finally, the numerical examination of model sensitiveness is performed.

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Production inventory with service time and interruptions

Cited by 12 publications

References 10 publications

MAP/PH/1 Üretim Envanter Modeli

MAP/PH/1 Üretim Envanter Modeli

Modelling of an $M/M/2$ production inventory system with multiple vacation

A Queueing Inventory System with Server Working Breakdown

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