GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time

A. Krishnamoorthy (), Dhanya Shajin () and B. Lakshmy ()
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A. Krishnamoorthy: Cochin University of Science and Technology
Dhanya Shajin: Cochin University of Science and Technology
B. Lakshmy: Cochin University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 2, 357-388

Abstract: Abstract In this paper we analyze two single server queueing-inventory systems in which items in the inventory have a random common life time. On realization of common life time, all customers in the system are flushed out. Subsequently the inventory reaches its maximum level S through a (positive lead time) replenishment for the next cycle which follows an exponential distribution. Through cancellation of purchases, inventory gets added until their expiry time; where cancellation time follows exponential distribution. Customers arrive according to a Poisson process and service time is exponentially distributed. On arrival if a customer finds the server busy, then he joins a buffer of varying size. If there is no inventory, the arriving customer first try to queue up in a finite waiting room of capacity K. Finding that at full, he joins a pool of infinite capacity with probability γ (0

Keywords: Flush out; reservation; cancellation; common life time; queueing-inventory (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13226-016-0192-5

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