A stochastic inventory system with two modes of service and retrial of customers

K. R. Rejitha () and K. P. Jose ()
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K. R. Rejitha: Adi Shankara Institute of Engineering & Technology
K. P. Jose: St. Peter’s College

OPSEARCH, 2018, vol. 55, issue 1, No 7, 134-149

Abstract: Abstract This paper analyses an inventory model with positive service time and retrial of customers. The customers arrive according to a Markovian Arrival Process with representation ( $$D_{0} ,D_{1}$$ D 0 , D 1 ). The service times are assumed to be of Phase type distribution with representation $$\left( {\eta ,U} \right)$$ η , U . When the inventory level depletes to the reorder point s, the service is given at a reduced rate and the service time distribution has the representation $$\left( {\eta ,\alpha U} \right)$$ η , α U , where $$0

Keywords: Inventory; Retrial; Markovian arrival process; Phase type distribution; Matrix analytic method; Cost analysis (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s12597-017-0322-9

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