An Algorithm for Solution of an Interval Valued EOQ Model

Authors

  • Susovan CHAKRABORTTY Research Scholar, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India
  • Madhumangal PAL Professor, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India
  • Prasun Kumar NAYAK Asst. Professor, Department of Mathematics, Bankura Christian College, Bankura, 722 101, India

DOI:

https://doi.org/10.11121/ijocta.01.2013.00113

Keywords:

Inventory, Interval arithmetic, Interval valued Demand, Interval lead time, Interval valued inventory cost parameters

Abstract

This paper deals with the problem of determining the economic order quantity (EOQ)in the interval sense. A purchasing inventory model with shortages and lead time, whose carryingcost, shortage cost, setup cost, demand quantity and lead time are considered as interval numbers,instead of real numbers. First, a brief survey of the existing works on comparing and ranking anytwo interval numbers on the real line is presented. A common algorithm for the optimum productionquantity (Economic lot-size) per cycle of a single product (so as to minimize the total average cost) isdeveloped which works well on interval number optimization under consideration. A numerical exampleis presented for better understanding the solution procedure. Finally a sensitive analysis of the optimalsolution with respect to the parameters of the model is examined.

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Author Biographies

Susovan CHAKRABORTTY, Research Scholar, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India

Research Scholar, Department of Applied Mathematics with Oceanology and Computer Programming,Vidyasagar University, Midnapore-721 102, India

Madhumangal PAL, Professor, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India

Professor, Department of Applied Mathematics with Oceanology and Computer Programming,Vidyasagar University, Midnapore-721 102, India

Prasun Kumar NAYAK, Asst. Professor, Department of Mathematics, Bankura Christian College, Bankura, 722 101, India

Asst. Professor, Department of Mathematics, Bankura Christian College, Bankura, 722 101, India

References

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Published

2012-09-09
CITATION
DOI: 10.11121/ijocta.01.2013.00113
Published: 2012-09-09

How to Cite

CHAKRABORTTY, S., PAL, M., & NAYAK, P. K. (2012). An Algorithm for Solution of an Interval Valued EOQ Model. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 3(1), 55–64. https://doi.org/10.11121/ijocta.01.2013.00113

Issue

Section

Optimization & Applications