Optimizing a Fuzzy Multi-Item Inventory System and Ordering Cost Depletion Contingent on Lead Time With Carbon Emission Cost

被引:0
作者
Vithyadevi, R. [1 ,2 ]
Annadurai, K. [3 ]
机构
[1] Mother Teresa Womens Univ, Kodaikanal 624101, Tamilnadu, India
[2] SSM Inst Engn & Technol, Dept Math, Dindigul 624002, Tamilnadu, India
[3] MV Muthiah Govt Arts Coll Women, PG & Res Dept Math, Dindigul 624001, Tamilnadu, India
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 05期
关键词
Fuzzy multi-item inventory model; Graded mean integration technique; Minimum integrated total cost for multi-item; Optimal order quantity for each item; Kuhn-Tucker method; INTEGRATED INVENTORY; QUALITY IMPROVEMENT; PRICE DISCOUNT; MODEL; CONSTRAINT; BACKORDER; DEMAND;
D O I
10.26713/cma.v14i5.2272
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Multi -item integrated inventory system and ordering cost depletion liable scheduled lead time with carbon emission cost is established in a fuzzy situation. Multiple items can considerably drop total inventory costs for hiring orders aimed at multiple items in single refill demand would drop ordering costs. Owing to the inaccuracy of various parameters and objective is imprecise in the environment. As the development of fuzzy objective is uncertain, the model is formulated as multi -item problems were confident/suspicious profit of the objective with some uncertainty. The model is solved via the graded mean technique with the addition of the Kuhn-Tucker method when the fuzzy equivalent of the problem remains available. An algorithm is established to attain optimal order quantity for each item and then find the minimum integrated total cost for a multi -item inventory system. The evaluation of a fuzzy multi -item inventory system through the crisp multi -item inventory system is completed over mathematical illustrations. Lastly, the graphical demonstration remains offered toward establishing the suggested system. An ending outcome demonstrates that this fuzzy multi -item system is perhaps moderately suitable defining optimal order quantity for each item and then the minimum integrated total cost for the multi -item technique when the lead time is assessed.
引用
收藏
页码:1693 / 1725
页数:33
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