Retailer's Optimal Ordering Policy under Conditions of Allowable Shortage and Two-Level Trade Credit Derived without Derivatives

Article Preview

Abstract:

An inventory model was developed to determine an ordering policy for the retailer under conditions of allowable shortage and two levels of delay permitted. We present a simple algebraic method to replace the use of differential calculus for determining the retailer's optimal ordering policy. A theorem is presented to obtain the optimal order quantity, and numerical examples are given to illustrate the results obtained in this paper.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 694-697)

Pages:

3428-3433

Citation:

Online since:

May 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] S.K. Goyal, Economic order quantity under conditions of permissible delay in payments, Journal of the Operational Research Society 36 (1985) 335-338.

DOI: 10.1057/jors.1985.56

Google Scholar

[2] A.M.M. Jamal, B.R. Sarker and S. Wang, An ordering policy for deteriorating items with allowable shortage and permissible delay in payment, Journal of the Operational Research Society 48 (1997) 826-833.

DOI: 10.1057/palgrave.jors.2600428

Google Scholar

[3] J.T. Teng, On the economic order quantity under conditions of permissible delay in payments, Journal of the Operational Research Society 53 (2002) 915-918.

DOI: 10.1057/palgrave.jors.2601410

Google Scholar

[4] S.S. Sana and K.S. Chaudhuri, A deterministic EOQ model with delays in payments and price-discount offers, European Journal of Operational Research 184 (2008) 509-533.

DOI: 10.1016/j.ejor.2006.11.023

Google Scholar

[5] J.T. Teng, C.T. Chang and S.K. Goyal, Optimal pricing and ordering policy under permissible delay in payments, International Journal of Production Economics 97 (2005) 121-129.

DOI: 10.1016/j.ijpe.2004.04.010

Google Scholar

[6] K.J. Chung and C.K. Huang, An ordering policy with allowable shortage and permissible delay in payments, Applied Mathematical Modelling 33 (2009) 2518-2525.

DOI: 10.1016/j.apm.2008.07.016

Google Scholar

[7] F. Hu and D. Liu, Optimal replenishment policy for the EPQ model with permissible delay in payments and allowable shortages, Applied Mathematical Modelling 34 (2010) 3108-3117.

DOI: 10.1016/j.apm.2010.01.016

Google Scholar

[8] Y.F. Huang, Optimal retailer's ordering policies in the EOQ model under trade credit financing, Journal of the Operational Research Society 54 (2003) 1011-1015.

DOI: 10.1057/palgrave.jors.2601588

Google Scholar

[9] J.T. Teng and C.T. Chang, Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy, European Journal of Operational Researchc 195 (2009) 358-363.

DOI: 10.1016/j.ejor.2008.02.001

Google Scholar

[10] C.K. Jaggi, S.K. Goyal and S.K. Goel, Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments, European Journal of Operational Research 190 (2008) 130-135.

DOI: 10.1016/j.ejor.2007.05.042

Google Scholar

[11] G. C. Mahata, An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain, Expert Systems with Applications 39 (2012) 3537-3550.

DOI: 10.1016/j.eswa.2011.09.044

Google Scholar

[12] R.W. Grubbström and A. Erdem, The EOQ with backlogging derived without derivatives, International Journal of Production Economics 59 (1999) 529-530.

DOI: 10.1016/s0925-5273(98)00015-2

Google Scholar

[13] L.E. Cárdenas-Barrón, The economic production quantity (EPQ) with shortage derived algebraically, International Journal of Production Economics 70 (2001) 289-292.

DOI: 10.1016/s0925-5273(00)00068-2

Google Scholar

[14] H.M. Wee and C.J. Chung, A note on the economic lot size of the integrated vendor-buyer inventory system derived without derivatives, European Journal of Operational Research 177 (2007) 1289-1293.

DOI: 10.1016/j.ejor.2005.11.035

Google Scholar

[15] S.W. Chiu, Production lot size problem with failure in repair and backlogging derived without derivatives, European Journal of Operational Research 188 (2008) 610-615.

DOI: 10.1016/j.ejor.2007.04.049

Google Scholar

[16] J.T. Teng, L.E. Cárdenas-Barrón and K.R. Lou, The economic lot size of the integrated vendor–buyer inventory system derived without derivatives: A simple derivation, Applied Mathematics and Computation 217 (2011) 5972-5977.

DOI: 10.1016/j.amc.2010.12.018

Google Scholar