$$(Q,r,L)$$ ( Q, r, L ) model for stochastic demand with lead-time dependent partial backlogging

Shib Sana () and Suresh Goyal ()

Annals of Operations Research, 2015, vol. 233, issue 1, 410 pages

Abstract: The paper deals with an economic order quantity model for variable lead-time, order dependent purchasing cost, order size, reorder point and lead-time dependent partial backlogging. The average expected cost function is formulated by trading off setup cost, purchasing cost, lead-time crashing cost, inventory cost and costs of lost sale and partial backordering. In this cost function, order quantity, reorder point and lead-time are decision variables. The above average expected cost function is analysed by calculus method in light of both distribution-free and known distribution function. Numerical example is illustrated to justify our proposed model. Copyright Springer Science+Business Media New York 2015

Keywords: Order quantity; Reorder point; Lead-time; Backordering (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10479-014-1731-2

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