2019
DOI: 10.1299/jamdsm.2019jamdsm0008
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Optimal control in an inventory management problem considering replenishment lead time based upon a non-diffusive stochastic differential equation

Abstract: An inventory management problem is theoretically discussed for a factory having effects of lead times in replenishing the inventory, where it stocks materials used for its products. It is assumed that the factory can dynamically control the size of ordering materials. By applying the stochastic control theory, the optimal control of the ordering size is derived, in which the expected total cost up to an expiration time is minimized. First, a new stochastic model is constructed for describing an inventory fluct… Show more

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Cited by 2 publications
(1 citation statement)
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References 17 publications
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“…This means that inventory management is concerned with the organisation of a company’s stock in order to minimise stock shortages and overflows and to guarantee that the firm’s stock is used appropriately. The management of inventory supports individuals responsible for determining the requirement for inventory so that purchases may be made in the suitable quantities to sustain production and distribution (Kanekiyo & Agata, 2019). Too much inventory is a wrong decision since it causes stagnation, obsoleteness, destruction and forfeiture of things through theft (Gul et al, 2013; Karim et al, 2018), which will eventually impair a company’s operations and financial risks.…”
Section: Literature Reviewmentioning
confidence: 99%
“…This means that inventory management is concerned with the organisation of a company’s stock in order to minimise stock shortages and overflows and to guarantee that the firm’s stock is used appropriately. The management of inventory supports individuals responsible for determining the requirement for inventory so that purchases may be made in the suitable quantities to sustain production and distribution (Kanekiyo & Agata, 2019). Too much inventory is a wrong decision since it causes stagnation, obsoleteness, destruction and forfeiture of things through theft (Gul et al, 2013; Karim et al, 2018), which will eventually impair a company’s operations and financial risks.…”
Section: Literature Reviewmentioning
confidence: 99%