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The economic lot size of the integrated vendor‐buyer inventory system derived without derivatives
Author(s) -
Yang P.C.,
Wee H.M.
Publication year - 2002
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.706
Subject(s) - vendor , hessian matrix , convexity , economic order quantity , differential (mechanical device) , order (exchange) , mathematical optimization , computer science , mathematics , mathematical economics , economics , business , supply chain , engineering , marketing , finance , aerospace engineering
In previous modellings of the integrated vendor–buyer system, the buyer's economic order quantity and the vendor's optimal number of deliveries are derived by setting the first derivatives to zero and solving the simultaneous equations. The Hessian matrix of second derivatives is used to prove the convexity of the objective function. This procedure can be difficult for students who lack the background of differential calculus. This study develops algebraically the optimal policy of the integrated vendor–buyer inventory system without using differential calculus. A significant cost reduction is also achieved when Goyal's model is modified. Copyright © 2002 John Wiley & Sons, Ltd.