Nita H. Shah ¹

Hardik Soni ²

¹  Department of Mathematics, Gujarat University, Ahmedabad – 380009, Gujarat.

India.

nita_sha_h@rediffmail.com

² Chimanbhai Patel Post Graduate Institute of Computer Applications,

Ahmedabad – 380051, Gujarat.

Hardik_soni30@yahoo.com

Abstract

In this paper, a mathematical model is developed to formulate optimal pricing and ordering policies when the units in inventory are subject to constant rate of deteriorating and the supplier offers progressive credit periods to settle the account. The concept of progressive credit periods is as follows:

If the retailer settles the outstanding amount by M, the supplier does not charge any interest. If the retailer pays after M but before N (M < N), then the supplier charges the retailer on the un-paid balance at the rate Ic₁. If the retailer settles the account after N, then he will have to pay an interest rate of Ic₂ (Ic₂ > Ic₁) on the un-paid balance.

The objective is to maximize the net profit. The decision variables are selling price and ordering quantity. An algorithm is given to find the flow of optimal selling price and ordering policy. A numerical illustration is given to study the effect of offered two credit periods and deterioration on decision variables and the net profit of the retailer.

Keywords: EOQ, Progressive Credit Periods, deterioration, Selling Price, Ordering Policy.

Title: Optimal Preços e Encomenda Políticas Para deterioração progressiva itens sob regime de comércio de crédito

Resumo

Neste trabalho, um modelo matemático desenvolvido está optimizado para formular políticas de preços e encomendas, quando as unidades do inventário estão sujeitos à taxa constante de deterioração progressiva eo fornecedor oferece crédito períodos de liquidar a conta. O conceito de progressividade de crédito períodos é a seguinte: Se o varejista apurado o montante pendente por M, o fornecedor não cobra qualquer interesse. Se o revendedor paga após M, mas antes de N (M <N), em seguida, o fornecedor cobra o varejista sobre as un-pago à taxa equilíbrio IC₁. Se o varejista liquidar a conta depois de N, então ele terá que pagar uma taxa de juro de IC₂ (IC₂> IC₁) sobre o saldo un-pagos. O objetivo é maximizar o lucro líquido. A decisão são variáveis preço de venda e ordenando quantidade. Um algoritmo é determinado a encontrar o fluxo otimizado de preço de venda e ordenação política. A ilustração é dado numérico para estudar o efeito do crédito oferecido dois períodos ea deterioração variáveis e decisão sobre o lucro líquido da varejista.

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