Enhanced algorithm for calculating the parameters of EOQ model taking into account simultaneous multi-product supplies and all unit quantity discounts
The article contains enhanced algorithm for calculating the parameters of EOQ model that takes into account simultaneous multi-product supplies and all unit quantity discounts.
The article presents a special modification of the EOQ-formula for a diversified EOQ-model of inventory management with account to specifics of lot deliveries. It will allow managers to determine the optimal parameters of the inventory management strategy if it is required to take into account the following features: 1) the possibility of order payment deferral; 2) time value of money at cashflow modelling 3) incomes specifics, when the proceeds come with a delay 4) specificity of storage costs payment (in form of rent or by the occupied storage space). In addition, the article specifies some options related to the possibility of using such a formula if it is necessary to additionally take into account: a) the restriction on the allowable length of the delay in payment of goods, so that the point of receipt of the proceeds did not exceed the corresponding reorder interval duration (on average); b) the vehicle capacity. The presented research materials on optimization of supplies will allow managers to estimate the effect of permissible delays in order payments, delays in receipt of proceeds, and the factor of vehicle capacity on the parameters of the optimal strategy of inventory management. The procedures of EOQ formula modification for inventory management systems are performed in relation to interesting and business-relevant models of this type that correspond to efficient deliveries, where these delays allow to make order payments from revenue at reordering intervals.
It is developed and presented an approach to inventory management EOQ-model optimization in this paper taking into the deferrals provided for the order cost payments. They summarize the results for the traditional EOQ-models taking into account the deferrals of payments which relate to payment of the batch of goods, with the payment of storage costs, and of the delivery costs payment. Presented modifications of EOQ-formulas will allow for managers to while considering the above features also to take into account he specificity costs of storage charging, in the form of rent, and for the used place on stock, to improve the decisions on the organization of the supply chain quality.
The sections of the discipline "Economic and mathematical methods and models in logistics" are presented, related to procedures for optimizing supply chains on the basis of methods of mathematical theory of inventory management, methods and models of graph theory, methods for solving the transport problem, methods for optimizing flows in networks, optimizing network project schedules. The foundations of the method of simulation are given.
We present an approach based on a two-stage ltration of the set of feasible solutions for the multiprocessor job-shop scheduling problem. On the rst stage we use extensive dominance relations, whereas on the second stage we use lower bounds. We show that several lower bounds can eciently be obtained and implemented.