A TWO-PRODUCT INVENTORY SYSTEM WITH PRODUCT INTERACTION

J. Yadavalli, C. Hargreaves

Abstract


ENGLISH ABSTRACT: In this paper, we study a two-component continuous review inventory system. We assume that demand occurs according to a Poisson process and that a demand can be satisfied only if both the components are available in the inventory. Back-orders are not permitted. We assume that the lead-time distribution of one product is arbitrary and the other is exponential. Identifying the underlying process as a semi-regeneration process we find the stationary distribution of the inventory level, the performance measures such as mean stationary rate of number of lost demands, the demands and the reorders made. A numerical example illustrates the results.

AFRIKAANSE OPSOMMING: Die artikel ondersoek 'n tweekomponent- deurlopende oorsigvoorraadstelsel. Daar word aanvaar dat aanvraag 'n Poissonproses is en dat aanvraag slegs bevredig kan word indien beide die komponente in die voorraad beskikbaar is. Agterstallige bestellings word nie toegelaat nie. Daar word aanvaar dat die lewertydverdeling van die een produk arbitr en die ander eksponensie is. Indien die onderliggende proses as 'n semigenerasieproses geentifiseer word, kan die stasione verspreiding van die voorraadvlak bepaal word. Maatstawwe van vertoning soos mediaan- stasione koers van die hoeveelheid verlore aanvraag, die aanvraag en herbestellings wat gedoen is word bepaal. 'n Numeriese voorbeeld illustreer die resultate.


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DOI: https://doi.org/10.7166/14-1-295

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Copyright (c) 2015 The South African Journal of Industrial Engineering


ISSN 2224-7890 (on-line) ; ISSN 1012-277X (print)


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