LAGRANGIAN RELAXATION METHOD FOR THE STEP FIXED- CHARGE TRANSPORTATION PROBLEM

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MAHMOODI RAD A.; NIROUMAND S.; SANEII M.; SAJEDINEZHAD A.

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2017 | Volume:3 | Issue:10 Page(s): 19-30

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Title

LAGRANGIAN RELAXATION METHOD FOR THE STEP FIXED- CHARGE TRANSPORTATION PROBLEM

Author(s)

MAHMOODI RAD A. | NIROUMAND S. | SANEII M. | SAJEDINEZHAD A. | Issue Writer Certificate

Keywords

STEP FIXED-CHARGEQ1

TRANSPORTATION PROBLEMQ1

LAGRANGIAN RELAXATIONQ1

Abstract

In this paper, a step fixed charge TRANSPORTATION PROBLEM is developed where the products are sent from the sources to the destinations in existence of both unit and STEP FIXED-CHARGEs. The proposed model determines the amount of products in the existing routes with the aim of minimizing the total cost (sum of unit and step fixedcharges) to satisfy the demand of each customer. As the problem is NP-hard, a moderate sized instance of this problem becomes intractable for general-purpose solvers. In order to overcome this difficulty, a LAGRANGIAN RELAXATION approach is proposed. The computational experiments show that the LAGRANGIAN RELAXATION algorithm is able to solve large sized problems with optimality gap compared to general-purpose solvers.

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APA: Copy

MAHMOODI RAD, A., NIROUMAND, S., SANEII, M., & SAJEDINEZHAD, A.. (2017). LAGRANGIAN RELAXATION METHOD FOR THE STEP FIXED- CHARGE TRANSPORTATION PROBLEM. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 3(10), 19-30. SID. https://sid.ir/paper/257305/en

Vancouver: Copy

MAHMOODI RAD A., NIROUMAND S., SANEII M., SAJEDINEZHAD A.. LAGRANGIAN RELAXATION METHOD FOR THE STEP FIXED- CHARGE TRANSPORTATION PROBLEM. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2017;3(10):19-30. Available from: https://sid.ir/paper/257305/en

IEEE: Copy

A. MAHMOODI RAD, S. NIROUMAND, M. SANEII, and A. SAJEDINEZHAD, “LAGRANGIAN RELAXATION METHOD FOR THE STEP FIXED- CHARGE TRANSPORTATION PROBLEM,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 3, no. 10, pp. 19–30, 2017, [Online]. Available: https://sid.ir/paper/257305/en

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