ANALYSIS OF M, MAP/PH/2 NON- PREEMPTIVE PRIORITY QUEUEING INVENTORY SYSTEM WITH BREAKDOWN, REPAIR AND (s, S) POLICY.

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Title:	ANALYSIS OF M, MAP/PH/2 NON- PREEMPTIVE PRIORITY QUEUEING INVENTORY SYSTEM WITH BREAKDOWN, REPAIR AND (s, S) POLICY.
Authors:	AYYAPPAN, G.¹ ayyappan@ptuniv.edu.in, THILAKAVATHY, M.¹ mthilakavathy89@gmail.com
Source:	Reliability: Theory & Applications. Sep2025, Vol. 20 Issue 3, p934-948. 15p.
Subjects:	Queuing theory, Matrix analytic methods, Distribution (Probability theory), Inventory control, Inventory management systems, Computer performance
Abstract:	We analyze a non-preemptive priority queueing model in this research that has two heterogeneous servers, each of which has its own queue. Queue 1 possesses a low priority status with infinite capacity and queue 2 possesses a high priority status with finite capacity. We made the assumption that arrival follows M, MAP and service time follows Phase-type distribution. Server 1 is always available in the system; Server 2 is an unreliable server. With a (s, S) policy, the inventory is filled up and an exponential distribution is scheduled for the replenishment time. Using the matrix analytical approach, a stationary probability vector was assessed, and a stability criterion was created for our system. Performance metrics are also studied using this technique. Both two and three-dimensional displays are used to show the numerical examples. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

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Abstract:	We analyze a non-preemptive priority queueing model in this research that has two heterogeneous servers, each of which has its own queue. Queue 1 possesses a low priority status with infinite capacity and queue 2 possesses a high priority status with finite capacity. We made the assumption that arrival follows M, MAP and service time follows Phase-type distribution. Server 1 is always available in the system; Server 2 is an unreliable server. With a (s, S) policy, the inventory is filled up and an exponential distribution is scheduled for the replenishment time. Using the matrix analytical approach, a stationary probability vector was assessed, and a stability criterion was created for our system. Performance metrics are also studied using this technique. Both two and three-dimensional displays are used to show the numerical examples. [ABSTRACT FROM AUTHOR]
ISSN:	19322321