Fixed cycle ordering policies for capacitated multiple item inventory systems with quantity discounts

Güder, Faruk; Zydiak, James L.

doi:10.1016/s0360-8352(00)00029-2

Cited by 22 publications

(8 citation statements)

References 9 publications

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“…Furthermore, since cycle times, T's, are the same for all models selecting a fixed cycle solution, as in the second problem, their economic order quantities are the same and can be verified by constraints (18)(19)(20)(21) in Model I, which are common to all models.…”

Section: Computer Implementation and Results Of Computational Experimmentioning

confidence: 93%

“…Constraints (17), (18), and (19) determine the length of the order cycle and the order size. Constraints (20) and (21) ensure that if a common cycle is chosen, the cycle times of all products will be equal; otherwise, these constraints will be redundant. For a common cycle solution, orders may be phased in by using the formula proposed by Guder and Zydiak [20].…”

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

“…Constraints (20) and (21) ensure that if a common cycle is chosen, the cycle times of all products will be equal; otherwise, these constraints will be redundant. For a common cycle solution, orders may be phased in by using the formula proposed by Guder and Zydiak [20]. Constraints (22) determine the amount to be paid for each order of each product.…”

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

“…These constraints will become redundant if a fixed cycle solution (Z 1 = 1) is selected. For a fixed cycle solution, orders may be phased in by using the formula proposed by Güder and Zydiak [20]. …”

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

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Models for Ordering Multiple Products Subject to Multiple Constraints, Quantity and Freight Discounts

Moussourakis¹,

Haksever²

2013

AJOR

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One of the most important responsibilities of a supply chain manager is to decide "how much" (or "many") of inventory items to order and how to transport them. This paper presents four mixed-integer linear programming models to help supply chain managers make these decisions for multiple products subject to multiple constraints when suppliers offer quantity discounts and shippers offer freight discounts. Each model deals with one of the possible combinations of all-units, incremental quantity discounts, all-weight and incremental freight discounts. The models are based on a piecewise linear approximation of the number of orders function. They allow any number of linear constraints and determine if independent or common (fixed) cycle ordering has a lower total cost. Results of computational experiments on an example problem are also presented.

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Section: Computer Implementation and Results Of Computational Experimmentioning

confidence: 93%

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

Section: Model I All-units Discounts For Both Price and Freightmentioning

confidence: 99%

See 2 more Smart Citations

Models for Ordering Multiple Products Subject to Multiple Constraints, Quantity and Freight Discounts

Moussourakis¹,

Haksever²

2013

AJOR

View full text Add to dashboard Cite

show abstract

“…Purchasing multiple items from a supplier is a standard business practice [15]. The problem is how much business should be placed with one supplier, especially for a small supplier where the buyer's business embodies a large portion of the seller's revenue.…”

Section: Introductionmentioning

confidence: 99%