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Sains
Malaysiana 41(4)(2012): 493-497
A Replenishment Inventory Model for
Items Under Time-Varying Demand Rates
(Model
Penambahan Inventori Bila Kadar Permintaan Berubah Terhadap Masa Dengan
Bayaran
Tertangguh dan Diskaun Tunai Dibenarkan untuk Masa Terhingga)
Institute
of Mathematical Sciences, Faculty of Science, University of Malaya
50603
Kuala Lumpur, Malaysia
Received:
30 June 2011 / Accepted: 20 October 2011
ABSTRACT
Many
researchers have developed various economic ordering quantity models by
assuming an infinite time horizon and constant demand rate. However due to
rapid technological advancement, shorter product life cycle and severe competition,
those assumptions are no longer realistic. In this paper, we complement that
shortcoming by considering an inventory model that satisfies a continuous
time-varying demand rate for a finite time horizon when trade credit period and
unit cash discount are allowed. The time horizon consists of n different cycles
with equal or different cycles length. The trade credit period was assumed to
be proportional to the cycle length. We developed mathematical models and
presented a numerical example to support the effectiveness of these models.
Keywords:
Cash discount; delay payment; finite horizon; inventory; time-varying demand
ABSTRAK
Ramai
penyelidik telah membangunkan pelbagai model Kuantiti Pesanan Ekonomi dengan
andaian masa
perancangannya
tak terhingga dan kadar permintaannya adalah tetap. Bagaimanapun perkembangan
pesat teknologi, masa produk yang singkat dan persaingan yang hebat, andaian
itu tidak lagi realistik. Kertas ini akan menghilangkan kekurangan itu dengan
membina model inventori bila kadar permintaan berubah terhadap masa untuk masa
terhingga bila bayaran tertangguh dan diskaun tunai dibenarkan. Masa
perancangannya mengandungi n kitaran dengan tempoh yang sama atau berbeza.
Tempoh bayaran tertangguh diandaikan berkadaran dengan tempoh bagi setiap
kitaran. Kami telah membina model matematiknya
dan memberikan contoh berangka untuk menyokong keberkesanan model tersebut.
Kata kunci: Bayaran tertangguh;
diskaun tunai; inventori; masa terhingga; permintaan berubah terhadap masa
REFERENCES
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C.T., 2002. Extended economic order quantity model under cash discount and
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Goyal,
S.K., 1985. Economic order quantity under conditions of permissible delay in
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L.Y., Chen, M.S. & Chuang, K.W. 2002. Economic order quantity model under
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*Corresponding
author; email: mohd@um.edu.my
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