Control Policies for Inventory with Service Time

Krishnamoorthy, A.; Narayanan, Viswanath C.; Deepak, T. G.; Vineetha, P.

doi:10.1080/07362990600753635

Cited by 26 publications

(10 citation statements)

References 3 publications

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“…Of course he has to wait until all ahead of him, if any, are served. Unlike in Krishnamoorthy et al [20], here the authors are not able to produce closed form solution. Instead they obtain a matrix geometric solution.…”

Section: Sivakumar and Arivarignanmentioning

confidence: 67%

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A survey on inventory models with positive service time

2011

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Section: Sivakumar and Arivarignanmentioning

confidence: 67%

“…Krishnamoorthy et al [20] consider an (s, S) inventory system, where customers require a random amount(positive)of service time. With all underlying distributions independent exponentials they analyze the classical N-policy for inventory with positive service time.…”

Section: Sivakumar and Arivarignanmentioning

confidence: 99%

A survey on inventory models with positive service time

2011

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“…Some of the references in Schwarz et al (2006) provide additional developments in inventory with service time. At this juncture the paper by Krishnamoorthy et al (2006a) deserves special mention as it further studies the N -policy of activating the server, once the server becomes idle in the absence of customers.…”

Section: Introductionmentioning

confidence: 99%

“…(One may also refer to Krishnamoorthy et al 2006aKrishnamoorthy et al , 2006b dealing with control problems in inventory with service time.) One of the most recent contribution to inventory with service time is due to Schwarz et al (2006).…”

Section: Introductionmentioning

confidence: 99%

Inventory with service time and transfer of customers and/inventory

Deepak¹,

Krishnamoorthy

Narayanan

et al. 2008

Ann Oper Res

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An inventory system with two parallel service facilities is considered. A certain number of customers are transferred from longer to shorter queue whenever their difference reaches a prescribed quantity. Along with this customer transfer, a certain quantity of inventory is also transferred, depending on availability. Further, if one of the queues has customers, but has no inventoried items whereas the other has at least one inventoried item to spare, then exactly one item is taken to the former and service begins thereby enhancing the efficiency of the system. Stability of the system is analysed. Several performance measures that helps in efficient design of such systems, are computed. Some numerical results are provided.

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“…Last three decades, many researchers in the field of operations and resource management contributed many results (Berman and Sapna [3], Berman and Kim [2], Arivarigan [1], Elango [5], Krishnamoorthy [8]). In most of the studies mentioned above, the system is considered as a Markov process with finite or infinite state space.…”

Section: Introductionmentioning

confidence: 99%

Optimal Admission and Service Control in a Discrete time Service Facility Systems: MDP Approach

Maheswari¹,

Elango²

2017

APAM

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Abstract. In this article, we consider a discrete time service facility system under MDP structure. Decisions are taken at discrete time epochs to control both admission and service processes in the service facility system. Here the queue before the server is divided into eligible queue(with finite capacity N) and an unlimited potential queue. The number of arrivals and service completion with rate b follow general distributions with probability mass functions (p.m.f) ( ) p ⋅ and ( ) b q ⋅ respectively. Control systems are used to(i) transfer customers from potential queue to eligible queue and (ii) change the service rate depending on the number of customers in the system. The system is formulated as a Markov Decision Process and an optimal control policy is obtained using Policy Iteration Method. Numerical example is provided to illustrate the problem with managerial insight.

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Control Policies for Inventory with Service Time

Cited by 26 publications

References 3 publications

A survey on inventory models with positive service time

A survey on inventory models with positive service time

Inventory with service time and transfer of customers and/inventory

Optimal Admission and Service Control in a Discrete time Service Facility Systems: MDP Approach

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