Optimal policies for inventory model with shortages, time-varying holding and ordering costs in trapezoidal fuzzy environment
نویسندگان
چکیده
This paper proposes the optimal policies for a fuzzy inventory model considering holding cost and ordering as continuous functions of time. Shortages are allowed partially backlogged. The demand rate is assumed in such to be linearly dependent on time during on-hand inventory, while shortage period, it remains constant. problem formulated crisp environment. Considering rate, trapezoidal numbers, proposed transformed into model. For this model, signed distance method defuzzification applied determine average total (ATC) objective optimize ATC order quantity. One solved example provided show applicability convexity function verified with help 3D-graph.
منابع مشابه
Optimal Policies for Inventory Systems with Concave Ordering Costs
In this paper we characterize the structure of optimal policies for periodic review inventory systems with concave ordering costs. By extending the Scarf (1958) model to systems with piecewise linear concave ordering costs, we show the optimality of generalized (s, S) policies for general demand distributions. We do so by (a) introducing a conditional monotonicity property for the order-up-to l...
متن کاملMathematical Production Inventory Model for Deteriorating Items with Stock and Time Dependent Demand, Time Varying Holding Cost and Shortages in a Fuzzy Environment
This study develops an EPQ model for deteriorating items assuming time and stock dependent demand and time varying holding cost under the effect of inflation in fuzzy environment. Shortages are allowed and partially backlogged. In finding the optimal production quantity, deterioration plays a crucial role in inventory management. Therefore handling of deterioration is in highlight and attracted...
متن کاملAn inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging
In this paper, we considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model ca...
متن کاملFuzzy Inventory Model for Deteriorating Items with Time-varying Demand and Shortages
Fuzzy set theory is primarily concerned with how to quantitatively deal with imprec ision and uncertainty, and offers the decision maker another tool in addition to the classical deterministic and probabilistic mathematical tools that a re used in modeling real-world problems. The present study investigates a fuzzy economic order quantity model for deteriorating items in which demand increases ...
متن کاملVendor-buyers Relationship Model for Deteriorating Items with Shortages, Fuzzy Trapezoidal Costs and Inflation
In this paper, an integrated inventory model is developed from the perspective of a single vendor and multi-buyers for deteriorating items under fuzzy environment and inflation. In the development of the model, it is assumed that all costs parameters, demand and the production rates are imprecise in nature; they are represented by the trapezoidal fuzzy numbers, as these parameters are not const...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Independent Journal of Management & Production
سال: 2021
ISSN: ['2236-269X']
DOI: https://doi.org/10.14807/ijmp.v12i2.1212