On the continuous-review ( s, S ) inventory model under compound renewal demand and random lead times

İzzet Şahin

25 citations0/0 files storedJournal of Applied Probability

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Advanced Queuing Theory Analysis

Abstract

Binomial moments of the time-dependent and limiting distributions of inventory deficit are derived for a continuous-review (s, S ) inventory system under the assumption that interarrival times, demand sizes, and lead times are independent sequences of independent, identically distributed random variables. Explicit expressions for the limiting distribution are also given in some special cases of practical interest. The approach used follows that of Finch [2] who investigated the system under the additional assumption of unit demands.

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References

1979On the Stationary Analysis of Continuous Review (s, S) Inventory Systems with Constant Lead Times

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2012An asymptotic approach for a semi‐Markovian inventory model of type (s, S)1990Inventory system with random supply quantity 2017Optimality of ( s , S ) Inventory Policies under Renewal Demand and General Cost Structures 2016Optimal continuous production-inventory systems subject to stockout risk 1992Analysis of net inventory in continuous review models with random lead time

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