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Efficient Fuzzy Goal Programming Model for Multi-objective Production Distribution Problem

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Abstract

This paper comprises of modelling and optimization of a production–distribution problem with the multi-product. The proposed model combined three well-known approaches, fuzzy programming, goal programming and interactive programming to develop an efficient fuzzy goal programming (EFGP) model for multi-objective production distribution problem (MOPDP). In this approach decision maker (DM) decide the goals and constructed membership functions for each objective, and they changed according to the iterative decision taken by the DM. The proposed EFGP model for MOPDP attempts to simultaneously minimize total transportation costs and total delivery time concerning inventory levels, available initial stock at each source, as well as market demand and available warehouse space at each destination, and the constraint on the total budget. The main aid of the proposed model is that its offerings an organized outline that enables fuzzy goal decision-making for solving the MOPDP under an uncertain environment.

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Funding

Funding was provided by University Grant Commission (UGC), INDIA [UGC start-up Grant No. F.30-90/2015 (BSR)].

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Authors and Affiliations

  1. Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, UP, India

    Srikant Gupta, Irfan Ali & Aquil Ahmed

Authors
  1. Srikant Gupta
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  2. Irfan Ali
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  3. Aquil Ahmed
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Correspondence to Irfan Ali.

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Gupta, S., Ali, I. & Ahmed, A. Efficient Fuzzy Goal Programming Model for Multi-objective Production Distribution Problem. Int. J. Appl. Comput. Math 4, 76 (2018). https://doi.org/10.1007/s40819-018-0511-0

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  • DOI: https://doi.org/10.1007/s40819-018-0511-0

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