Using the Complete Squares Method to Derive Global Optimal Formulae for A Lot Size Model with Backlogging When the Amount Received is Uncertain
Several researchers have recently derived formulae for economic order quantities ( EOQs) with some variants without reference to the use of derivatives, neither for first-order necessary conditions nor for second-order sufficient conditions. In addition, this algebraic derivation immediately produces an individual formula for evaluating the minimum expected annual cost. The main purpose of this paper is to solve the EOQ model taking both partial backorders and uncertain quantity received into account using the complete squares method, whereby we can readily derive global optimal expressions from a non-convex objective function in an algebraic manner. A numerical example has been solved to illustrate the solution procedure. Finally, concluding remarks are drawn.
Partial backorders Uncertain quantity received Non - convex The complete squares method
Leung Kit - nam Francis
Department of Management Sciences, City University of Hong Kong, Kowloon Tong, Hong Kong, China
国际会议
天津
英文
2007-10-20（万方平台首次上网日期，不代表论文的发表时间）