scispace - formally typeset
Search or ask a question
Author

S. Anbarasu

Bio: S. Anbarasu is an academic researcher from Anna University. The author has contributed to research in topics: Queueing theory & Layered queueing network. The author has an hindex of 2, co-authored 2 publications receiving 13 citations.

Papers
More filters
Journal ArticleDOI
TL;DR: The time-dependent performance measures of the system and the probability density function of the first-passage-time to reach the maintenance state are discussed and the corresponding steady state analysis and key performance measures are presented.
Abstract: A single server queue subject to maintenance of the server and the close down period is considered. We obtain explicit expressions for the transient probabilities of the system size, the server under maintenance state and the close down period. The time-dependent performance measures of the system and the probability density function of the first-passage-time to reach the maintenance state are discussed. The corresponding steady state analysis and key performance measures of the system are also presented. Finally, the effect of various parameters on system performance measures is demonstrated by a numerical example.

11 citations

Journal ArticleDOI
TL;DR: This paper corrects the errors and obtains the correct results in the work carried out by Sudhesh on the transient probabilities of the system size for queueing systems subject to catastrophic failures and impatience of customers.
Abstract: Sudhesh (2010) has discussed the transient probabilities for queueing systems subject to catastrophic failures and impatience of customers. However, it contains some errors concerning the terminology and the final forms of the transient probabilities of the system size. In this paper, we correct the errors and obtain the correct results in the work carried out by Sudhesh. In addition, the steady state system size probabilities and performance measures are provided. Finally, two special cases are deduced from the more general queueing model under study.

5 citations


Cited by
More filters
Journal ArticleDOI
01 Jan 1943-Nature
TL;DR: The theory of Fourier integrals arises out of the elegant pair of reciprocal formulae The Laplace Transform By David Vernon Widder as mentioned in this paper, which is the basis of our theory of integrals.
Abstract: THE theory of Fourier integrals arises out of the elegant pair of reciprocal formulae The Laplace Transform By David Vernon Widder. (Princeton Mathematical Series.) Pp. x + 406. (Princeton: Princeton University Press; London: Oxford University Press, 1941.) 36s. net.

743 citations

Journal ArticleDOI
01 Apr 2020
TL;DR: An expected average cost function of the production inventory SC model is developed, considering the several cost components of the model as linguistic triangular dense fuzzy lock set and the cost function itself has been fuzzified according to the needs of the problem defined at case study.
Abstract: This paper focuses on a three-level distribution process in a supply chain (SC) modeling where the raw materials are received batchwise with imperfect quality. Defective batches are rejected instantly under “all or none” policy. Allowing partial backlogging and random disruption in supply, we develop an expected average cost function of the production inventory SC model first. Then, considering the several cost components of the model as linguistic triangular dense fuzzy lock set, the cost function itself has been fuzzified according to the needs of the problem defined at case study. Utilizing the proper application (growth) of key vectors, the objective function has been solved under crisp, general fuzzy, dense fuzzy, dense fuzzy lock of single and double keys environment, respectively. For managerial importance, numerical results and graphical illustrations are made to justify the novelty.

28 citations

Journal ArticleDOI
TL;DR: To nullify the issues of non-random uncertainties of demand rate in business scenario, cloudy fuzzy method has been utilized here and numerical study reveals that cloud model along with its new defuzzification methods can give maximum profit of the model all the time instead of deterministic ones.
Abstract: In the traditional economic order quantity/economic production quantity model, most of the items considered are of perfect type. But this situation rarely takes place in practice. Thus, in this paper, an economic order quantity model with imperfect-quality items is developed. $$100\%$$ screening process is performed, and the items of imperfect quality are sold as a single batch. A proportionate rate of discount for the items of imperfect quality has also been studied. Moreover, a case study has been incorporated to comprehend the model. To nullify the issues of non-random uncertainties of demand rate in business scenario, cloudy fuzzy method has been utilized here. Numerical study reveals that cloud model along with its new defuzzification methods can give maximum profit of the model all the time instead of deterministic ones. Finally, sensitivity analysis and graphical illustrations are made to justify the novelty of the model.

26 citations

Journal ArticleDOI
TL;DR: The objective function in fuzzy sense is defuzzified using Modified Graded Mean Integration Representation Method (MGMIRM) and theoretical results are developed to establish optimal policies to examine the effects of non-stochastic uncertainty.
Abstract: This article investigates the effects of lost sales reduction and quality improvement in an imperfect production process under imprecise environment with simultaneously optimizing reorder point, order quantity, and lead time. This study assumes that the demand during lead time follows a mixture of normal distributions and the cost components are imprecise and vague. Under these assumptions, the aim is to study the lost sales reduction and the quality improvement in an uncertainty environment. The objective function in fuzzy sense is defuzzified using Modified Graded Mean Integration Representation Method (MGMIRM). For the defuzzified objective function, theoretical results are developed to establish optimal policies. Finally, some numerical examples and sensitivity analysis are provided to examine the effects of non-stochastic uncertainty.

23 citations

Journal ArticleDOI
TL;DR: To minimize the aggregate cost of the SC, the Triangular dense fuzzy lock set is utilized for controlling the cost vector of the proposed objective function of the model and new defuzzification method is used.
Abstract: This article deals with three-echelon supply chain (SC) network involving flow of raw materials with imperfect quality, the manufacturer and multiple retailers under the effect of learning experiences in fuzzy decision-making process. Existing literature explores the SC model under full backordering and disruption. Thus, in this study we first develop a production-inventory control problem accompanied with partial backlogging and random disruptions. Any batch received from the supplier is inspected by the manufacturer and if any of them are found to be flawed then all the goods in the inspected batch are rejected. However, we present a case study for problem definition and to comprehend the model into practical applicability. To minimize the aggregate cost of the SC we have utilized the Triangular dense fuzzy lock set for controlling the cost vector of the proposed objective function of the model. Utilizing new defuzzification method and applying the proper keys, chosen by the decision maker, it is possible to minimize the average system cost exclusively. Finally, graphical illustrations and sensitivity analysis are made to justify the model.

15 citations